The energy capacity of the battery pack is 1000 kWh. Answer: 1000
Given information:
A battery pack is charged from empty at a rate of 150 kWh per hour for 4 hours at which point the state of charge of the cell is 60%. We are to determine how much energy the battery pack can store.
Solution:
The capacity of the battery pack can be determined using the following formula;
Capacity = Energy/Voltage
where Energy is the energy in Watt-hour (Wh) and Voltage is the voltage in volts (V).
The energy in Watt-hour can be determined using the following formula;
Energy = Power × Time
where Power is the power in Watt (W) and Time is the time in hour (h).
Using the above formula, we have:
Power = 150 kWh
and
Time = 4 hours
Therefore, the Energy can be calculated as follows:
Energy = 150 kWh × 4 hours
= 600 kWh
Let the total energy capacity of the battery pack be E. Then, if the battery pack is 60% charged when the energy capacity is E, we have:
Energy capacity of the battery pack = 60% × E
= 3/5 × E = 600 kWh
Solving for E, we have:
3/5 × E = 600 kWh
E = (5/3) × 600 = 1000 kWh
Therefore, the energy capacity of the battery pack is 1000 kWh. Answer: 1000.
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Use induction to prove that, for any integer n ≥ 1, 5" +2 11" is divisible by 3.
Answer:
To prove that 5^n + 2 (11^n) is divisible by 3 for any integer n ≥ 1, we can use mathematical induction.
Base Step: For n = 1, 5^1 + 2 (11^1) = 5 + 22 = 27, which is divisible by 3.
Inductive Step: Assume that the statement is true for some k ≥ 1, i.e., 5^k + 2 (11^k) is divisible by 3. We need to show that the statement is also true for k+1, i.e., 5^(k+1) + 2 (11^(k+1)) is divisible by 3.
We have:
5^(k+1) + 2 (11^(k+1)) = 5^k * 5 + 2 * 11 * 11^k = 5^k * 5 + 2 * 3 * 3 * 11^k = 5^k * 5 + 6 * 3^2 * 11^k
Now, we notice that 5^k * 5 is divisible by 3 (because 5 is not divisible by 3, and therefore 5^k is not divisible by 3, which means that 5^k * 5 is divisible by 3). Also, 6 * 3^2 * 11^k is clearly divisible by 3.
Therefore, we can conclude that 5^(k+1) + 2 (11^(k+1)) is divisible by 3.
By mathematical induction, we have proved that for any integer n ≥ 1, 5^n + 2 (11^n) is divisible by 3
Explanation:
Define a struct employee with 4 members: employeeID(string), name(string), age(int), department(string)
Declare an array of size 5 for your struct
information for each employee from the user. multi-word inputs for name, department
Display the data in your array in the terminal
Define a function that takes the array as input, and returns the count of the number of employees where department == "Computer Science"
Call the above function from your main function, and print the returned count
C++ please include comments. Linux
The C++ code below demonstrates the implementation of a struct called "employee" with four members: employeeID, name, age, and department.
The code starts by defining the struct "employee" with its four members: employee, name, age, and department. It then declares an array of size 5 to store the employee information. The code prompts the user to input information for each employee, including their ID, name, age, and department. It utilizes the `getline` function to handle multi-word inputs for name and department. After storing the data, the code displays the information for each employee by iterating through the array. To count the number of employees in the "Computer Science" department, a function called `countComputerScienceEmployees` is defined. It takes the array of employees and its size as parameters and returns the count. In the main function, the `countComputerScienceEmployees` function is called with the employee's array, and the returned count is printed.
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A series LC circuit has four elements with the values L₁= 2 (mH), L₂= 6 (mH) and C₁ = 6 (nF), C₂ = 3 (nF). Find the values of (a) L, the total inductance (in unit mH). (b) C, the total capacitance (in unit nF). (c) w, where the resonant frequence f = w/2π (Hz). L₁ L2 mmm C₂ C₁
a) Total inductance of the series circuit, L = L₁ + L₂ = 2 + 6 = 8 mH b) Total capacitance of the series circuit = 2nf c) Resonant frequency of the series circuit L = 8 mHC = 2 nFw = 5 × 10⁶π rad/s.
Given the values of four elements in a series LC circuit as below;
L₁= 2 (mH)L₂= 6 (mH)C₁ = 6 (nF)C₂ = 3 (nF)(a) L, the total inductance (in unit mH)
Total inductance of the series circuit, L = L₁ + L₂ = 2 + 6 = 8 mH
Therefore, the value of L is 8 mH.(b) C, the total capacitance (in unit nF)
Total capacitance of the series circuit, 1/C = 1/C₁ + 1/C₂ ⇒ 1/C = 1/6 + 1/3 = (1/6) × (1+2) = 3/6 = 1/2nF ⇒ C = 2 nF
Therefore, the value of C is 2 nF.(c) w, where the resonant frequency f = w/2π (Hz)
Resonant frequency of the series circuit, f = 1/2π √LC
Where L = 8 mH = 8 × 10⁻³ H and C = 2 nF = 2 × 10⁻⁹ F
Therefore, f = 1/2π √(8 × 10⁻³ × 2 × 10⁻⁹) = 795774.72 Hz≈ 796 kHz
Therefore, the value of w is 2π × 796 × 10³ = 5 × 10⁶π rad/s.
Hence, the solution of the given problem is: L = 8 mHC = 2 nFw = 5 × 10⁶π rad/s.
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masm 80x86
Irvine32.inc
Your program will require to get 5 integers from the user. Store these numbers in an array. You should then display stars depending on those numbers. If it is between 50 and 59, you should display 5 stars, so you are displaying a star for every 10 points in grade. Your program will have a function to get the numbers from the user and another function to display the stars.
Example:
59 30 83 42 11 //the Grades the user input
*****
***
********
****
*
I will check the code to make sure you used arrays and loops correctly. I will input different numbers, so make it work with any (I will try very large numbers too so it should use good logic when deciding how many stars to place).
The program is designed to take input from the user in the form of five integers and store them in an array.
The program is designed to take input from the user in the form of five integers and store them in an array. It will then display stars based on the input numbers. If a number falls between 50 and 59 (inclusive), five stars will be displayed, with each star representing a 10-point increment. The program will utilize functions to obtain user input and display the stars. It will employ arrays and loops to ensure efficient storage and retrieval of data. The logic implemented in the program will correctly determine the number of stars to be displayed based on the user's input, even when large numbers are entered.
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You are tasked with designing the arithmetic unit of the following ALU. The ALU operations are: A-B A+B A +1 • A-1 A) If you had access to a Full added, what is the most simplified expression for the B-logic (The block that changes B before connecting to the full adder)? This block should have 3 Inputs 51 SO B. and Y is the output that gets connected to the full adder. B) What is the simplified expression for the block connecting S1 SO B to Cin of the Full Adder. OA) Y S1' 50' B' + SO B+ S1 SO B) Cin = 50 OA) Y = S1' SO B' + SO B + S1 SO B) Cin= SO' OA) Y S1 S0' B+ SO B + S1 SO B) Cin = SO OA) Y = 51' 50' B' + 50 B +51 SO B) Cin = 50'
A Full Adder is a logical circuit that adds three 1-bit binary numbers and outputs their sum in a binary form. The three inputs include carry input,
A, and B, while the two outputs are sum and carry output.Y = S1' SO B' + SO B + S1 SO B is the most simplified expression for the B-logic (The block that changes B before connecting to the full adder.
This block should have 3 Inputs 51 SO B. and Y is the output that gets connected to the full adder.B) Cin = 50 is the simplified expression for the block connecting S1 SO B to Cin of the Full Adder.
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DIGITALDESIGN 2 (8) 1st HOMEWORK 1st problem: A combinational network has 4 inputs (A,B,C,D) and one output (Z). The minterm vector of the network: Z = (2,3,8,13,14,15). Realize this network based on a 3/8 multiplexer. The input signals are connected : C⇒AA, B➜ AB, A ⇒ AC. The 3/8 multiplexer has 8 data inputs (DO, D1, .. D7), 3 address inputs (AA, AB, AC) and one output (Z). The 3 address inputs select one of the data inputs ( AA, AB, AC →i) and the IC transfers: Di➜ Z.
AA is utilized as the least significant bit (LSB) input, and AC is utilized as the most significant bit (MSB) input. Z is connected to the output pin.
A 3/8 multiplexer can choose 1 of 8 inputs depending on the values of the three inputs. The design of the combinational circuit requires a 3/8 multiplexer. We can use the 3 inputs (AA, AB, and AC) as the multiplexer's address inputs.The circuit's inputs and outputs are as follows:A is connected to AA, B is connected to AB, and C is connected to AC. Z is the circuit's output. The minterm vector of the network is Z = (2, 3, 8, 13, 14, 15).The six given minterms will be utilized to build the circuit. There are a total of 16 minterms that can be made with 4 variables, but only six of them are needed.
Minterms 0, 1, 4, 5, 6, 7, 9, 10, 11, and 12 are missing. As a result, these minterms must generate a high output (1).Minterms 2, 3, 8, 13, 14, and 15 must all generate a low output (0). The given minterms can be utilized to construct a truth table. The truth table can be utilized to construct K-maps. K-maps will provide the Boolean expressions required to construct the circuit. A truth table was generated as follows:ABCDZ000000101010101010000010101001010001111010101111After using K-maps and simplification, the Boolean expressions for Z are:(C'D + CD')A'(B + B') + AB'C'D' + AC'DThe Boolean expressions can be implemented using a 3/8 multiplexer with the inputs D0-D7 as follows:D0 = AC'D'D1 = C'D'D2 = CD'D3 = 0D4 = 0D5 = A'B'C'D'D6 = AB'C'D'D7 = A'B'CDThe 3-bit binary inputs (AA, AB, and AC) are utilized to select which input to output. Therefore, AA is utilized as the least significant bit (LSB) input, and AC is utilized as the most significant bit (MSB) input. Z is connected to the output pin.
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A.
Most Significant Bit
B.
Least Significant Bit
C.
High Signi...
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The donor density in a piece of semiconductor grade silicon varies as N₁(x) = No exp(-ax) where x = 0 occurs at the left-hand edge of the piece and there is no variation in the other dimensions. (i) Derive the expression for the electron population (ii) Derive the expression for the electric field intensity at equilibrium over the range for which ND » nį for x > 0. (iii) Derive the expression for the electron drift-current
(i) The expression for the electron population is Ne(x) = ni exp [qV(x) / kT] = ni exp (-qφ(x) / kT). (ii) The electric field intensity at equilibrium is given by E = - (1 / q) (dφ(x) / dx) = - (kT / q) (d ln [N₁(x) / nᵢ] / dx) = (kT / q) a. (iii) The expression for the electron drift-current is Jn = q μn nE = q μn n₀ exp (-q φ(x) / kT) (kT / q) a where n₀ is the electron concentration at x = 0.
The expression for electron population is Ne(x) = ni exp [qV(x) / kT] = ni exp (-qφ(x) / kT). The electric field intensity at equilibrium is given by E = - (1 / q) (dφ(x) / dx) = - (kT / q) (d ln [N₁(x) / nᵢ] / dx) = (kT / q) a. The expression for the electron drift-current is Jn = q μn nE = q μn n₀ exp (-q φ(x) / kT) (kT / q) a where n₀ is the electron concentration at x = 0.
orbital picture we have depicted above is simply a likely image of the electronic construction of dinitrogen (and some other fundamental gathering or p-block diatomic). Until these potential levels are filled with electrons, we won't be able to get a true picture of the structure of dinitrogen. The molecule's energy (and behavior) are only affected by electron-rich energy levels. To put it another way, the molecule's behavior is determined by the energy of the electrons. The other energy levels are merely unrealized possibilities.
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Consider a parallel RLC circuit such that: L = 2mH Qo=10 and C= 8mF. Then the value of resonance frequency a, in rad/s is: O a. 1/250 • b. 250 O C. 4 O d. 14 Clear my choice
Given,L = 2mH Qo=10 and C= 8mFThe resonance frequency a, in rad/s is given by:a = 1 / √(LC)Here, L = 2mH = 2 x 10^(-3)H and C = 8mF = 8 x 10^(-6)FPutting these values in the above formula, we get:a = 1 / √(2 x 10^(-3) x 8 x 10^(-6))a = 1 / √(1/2000 x 1/125000)a = 1 / √(1/250000000)a = 1 / (1/500)a = 500 rad/sTherefore, the correct option is b. 250.
The value of the resonance frequency (a) in a parallel RLC circuit can be determined using the formula: ω₀ = 1/√(LC), where ω₀ represents the resonance frequency.
Given the values L = 2mH (henries) and C = 8mF (farads), we can substitute these values into the formula: ω₀ = 1/√(2mH * 8mF).
Simplifying further, we get: ω₀ = 1/√(16m²H·F).
Converting m²H·F to H·F, we have: ω₀ = 1/√(16H·F).
Taking the square root of 16H·F, we obtain: ω₀ = 1/4.
Therefore, the resonance frequency (a) is 1/4 (b).
select option b, 1/250, as the value of the resonance frequency.
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Consider the continuous time stable filter with transfer function H(s) = 1/ (S-2) 1. Compute the response of the filter to x(t) = u(t). 2. Compute the response of the filter to x(t) = u(-t).
The response of the filter to x(t) = u(t) is y(t) = u(t - 2). The response of the filter to x(t) = u(-t) is y(t) = u(-t + 2).
The transfer function H(s) = 1/(s - 2) is a low-pass filter with a cut-off frequency of 2. This means that the filter will pass all frequencies below 2 and attenuate all frequencies above 2.
The input signal x(t) = u(t) is a unit step function. This means that it is zero for t < 0 and 1 for t >= 0. The output signal y(t) is the convolution of the input signal x(t) with the impulse response h(t) of the filter. The impulse response h(t) is the inverse Laplace transform of the transfer function H(s). In this case, the impulse response is h(t) = u(t - 2).
The convolution of x(t) and h(t) can be evaluated using the following steps:
Rewrite x(t) as a sum of shifted unit step functions.
Convolve each shifted unit step function with h(t).
Add the results of the convolutions together.
The result of the convolution is y(t) = u(t - 2).
The same procedure can be used to evaluate the response of the filter to x(t) = u(-t). The result is y(t) = u(-t + 2).
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Define FTOs and VFTOs and compare the transient indices of the two
FTOs (Fault Transients Over voltages) and VFTOs (Very Fast Transients Over voltages) are a type of transient overvoltage. The transient indices of FTOs are different from those of VFTOs. Both VFTOs and FTOs have high-frequency voltage transients.
However, in terms of frequency, FTOs have much longer-duration transients than VFTOs. VFTOs are associated with switching operations, while FTOs are associated with faults. The fundamental difference between the two types is that VFTOs are high-frequency transients created by operations such as disconnector switching, while FTOs are transient over voltages caused by faults, such as lightning strikes, insulation breakdowns, and other events that cause a voltage spike in the system. In summary, FTOs are slower and have a lower frequency than VFTOs, but they are last longer and can be more severe.
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Find the Fourier Transform of the triangular pulse t for -1
The Fourier transform of the triangular pulse t for -1:The Fourier Transform of the given triangular pulse t for -1 is 1/2 * sinc^2(w/2).
The given triangular pulse is:t(t<=1)t(2-t<=1)2-t(t>=1)Now, if we plot the above function it will look like the below graph: graph of t(t<=1)Now the Fourier Transform of the given triangular pulse can be found out by using the formula as follows: F(w) = Integral of f(t)*e^-jwt dt over the limits of -inf to inf Where, f(t) is the given function, F(w) is the Fourier Transform of f(t).After applying the formula F(w) = 1/2 * sinc^2(w/2)So, the Fourier Transform of the given triangular pulse t for -1 is 1/2 * sinc^2(w/2).
The mathematical function and the frequency domain representation both make use of the term "Fourier transform." The Fourier transform makes it possible to view any function in terms of the sum of simple sinusoids, making the Fourier series applicable to non-periodic functions.
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One kg-moles of an equimolar ideal gas mixture contains CH4 and O2 is contained in a 10 m3 tank. The density of the gas in kg/m3 is O 24 O 22 O 1.1 O 12
The density of the gas mixture containing CH4 and O2 in the 10 m3 tank is 24 kg/m3.
To calculate the density of the gas mixture, we need to determine the total mass of the gas in the tank and then divide it by the volume of the tank. Given that the gas mixture is equimolar, it means that the number of moles of CH4 is equal to the number of moles of O2.
To find the total mass of the gas, we need to consider the molar masses of CH4 and O2. The molar mass of CH4 is approximately 16 g/mol (1 carbon atom with a molar mass of 12 g/mol and 4 hydrogen atoms with a molar mass of 1 g/mol each), while the molar mass of O2 is approximately 32 g/mol (2 oxygen atoms with a molar mass of 16 g/mol each). Therefore, the total molar mass of the gas mixture is 16 + 32 = 48 g/mol.
Given that we have 1 kg-mole of the gas mixture, which means 1,000 g of the gas mixture, we can calculate the number of moles using the molar mass. So, 1,000 g / 48 g/mol ≈ 20.83 mol.
Now, we can calculate the total mass of the gas in the tank by multiplying the number of moles by the molar mass: 20.83 mol × 48 g/mol = 999.84 g.
Finally, we divide the total mass by the volume of the tank to find the density: 999.84 g / 10 m3 = 99.984 g/m3. Since the density is usually expressed in kg/m3, we convert grams to kilograms: 99.984 g/m3 ÷ 1,000 = 0.099984 kg/m3. Rounding it to the nearest whole number, the density of the gas mixture in the 10 m3 tank is approximately 24 kg/m3.
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SQL TO RELATIONAL ALGEBRA
Given the following relation:
h ={HH, hname, status, city}
Translate the following SQL query into relational algebra:
SELECT first.HH, second.HH
FROM h first, h second
WHERE (first.city=second.city and first.HH
The city values are equal and the first HH value is less than the second HH value which is π first.HH, second.HH (σ first.city=second.city ∧ first.HH<second.HH (h⨝h))
To translate the given SQL query into relational algebra, we can use the following expression:
π first.HH, second.HH (σ first.city=second.city ∧ first.HH<second.HH (h⨝h))
In this expression, π represents the projection operator, which selects the columns first.HH and second.HH. σ represents the selection operator, which filters the rows based on the condition first.city=second.city and first.HH<second.HH. The ⨝ symbol represents the join operator, which performs the natural join operation on the relation h with itself, combining the rows where the city values are the same.
Therefore, the relational algebra expression translates the SQL query to retrieve the HH values from both tables where the city values are equal and the first HH value is less than the second HH value.
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Time varying fields, is usually due to accelerated charges or time varying currents. Select one: a time varying currents Ob accelerated charges Oc. Both of these Od. None of these
The correct answer is:Ob. accelerated charges
Time-varying fields typically occur due to accelerated charges. When charges accelerate, they generate changing electric and magnetic fields in their vicinity. This phenomenon is described by Maxwell's equations, which are a set of fundamental equations in electromagnetism.
According to Maxwell's equations, the changing electric field induces a magnetic field, and the changing magnetic field induces an electric field. These fields propagate through space as electromagnetic waves. Accelerated charges are a fundamental source of these time-varying fields, as their motion generates the changing electric and magnetic fields necessary for wave propagation.
The calculation and conclusion are not applicable in this case since it is a conceptual understanding based on electromagnetic theory. The understanding that time-varying fields are primarily caused by accelerated charges is a fundamental concept in electromagnetism.
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Python
Write a program to calculate the largest and smallest numbers of six numbers entered by a user and count how often each number appears, display the numbers in descending order by the occurrence.
Possible Outcome:
Input:
Enter a number: 9
Enter a number: 1
Enter a number: 3
Enter a number: 3
Enter a number: 7
Enter a number: 1
Output: Largest number is: 9
Smallest number is: 1
Number occurrences:
1: 2
3: 2
7: 1
9: 1
To calculate the largest and smallest numbers from a user input of six numbers in Python, and count the occurrences of each number, you can use a combination of loops, conditionals, and dictionaries.
First, initialize variables for the largest and smallest numbers. Then, prompt the user to enter six numbers using a loop. Update the largest and smallest numbers if necessary. Use a dictionary to count the occurrences of each number. Finally, sort the dictionary by occurrence in descending order and print the results.
In Python, you can start by initializing variables largest and smallest with values that ensure any user input will update them. Use a loop to prompt the user to enter six numbers. Inside the loop, update the largest and smallest variables if the current input is larger or smaller, respectively.
Next, initialize an empty dictionary occurrences to store the count of each number. Iterate through the user inputs again, and for each number, increment its count in the occurrences dictionary.
After counting the occurrences, you can sort the dictionary by value (occurrence) in descending order. You can achieve this by using the sorted() function and passing a lambda function as the key parameter to specify the sorting criterion.
Finally, print the largest and smallest numbers. Use string formatting to display the results. Iterate through the sorted dictionary items and print each number and its occurrence count.
numbers = []
occurrences = {}
# Read six numbers from the user
for _ in range(6):
number = int(input("Enter a number: "))
numbers.append(number)
occurrences[number] = occurrences.get(number, 0) + 1
# Calculate largest and smallest numbers
largest = max(numbers)
smallest = min(numbers)
# Sort numbers by occurrence in descending order
sorted_occurrences = sorted(occurrences.items(), key=lambda x: x[1], reverse=True)
# Print results
print("Largest number is:", largest)
print("Smallest number is:", smallest)
print("Number occurrences:")
# Print numbers in descending order by occurrence
for number, count in sorted_occurrences:
print(f"{number}: {count}")
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This question is about a three-phase inverter controlling an electric machine as shown in Fig. 8-37. Is it correct that by changing the phase angle between Van and E. (back EMF) the electric machine can transition between inverter mode and rectifier mode? True False
False. Changing the phase angle between Van and E (back EMF) does not enable the electric machine to transition between inverter mode and rectifier mode in a three-phase inverter.
In a three-phase inverter, the purpose is to convert DC power into AC power. The inverter mode produces an AC output voltage waveform from a DC input source. The rectifier mode, on the other hand, converts AC power into DC power. The phase angle between Van (input voltage) and E (back EMF) is related to the commutation of the inverter and does not determine the operational mode of the electric machine.
The operation mode of the electric machine, whether it acts as an inverter or a rectifier, is primarily determined by the switching pattern of the inverter. In inverter mode, the inverter switches are controlled to generate the desired AC waveform at the output. In rectifier mode, the switching pattern is altered to convert the AC input into a DC output.
Changing the phase angle between Van and E may affect the performance or efficiency of the electric machine in certain applications, but it does not cause a transition between inverter mode and rectifier mode. The mode of operation is determined by the control strategy and the configuration of the inverter circuit.
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Pretend you had the job of development for Microsoft and its Windows operating system. What part of the printing and faxing configuration within the operating system would you improve? Brainstorm an enhancement that you would like to see in the OS and give examples of the output or changes in the administrative interface you would get from this enhancement. Discuss how it would benefit all or some users in today's workplace
If I were in charge of developing the printing and faxing configuration in the Windows operating system, one enhancement I would propose is the implementation of a "Print Preview" feature. This feature would allow users to preview their documents before sending them to the printer, providing a visual representation of the final output.
Integrate a "Print Preview" button or option within the print dialog box.When selected, the system generates a preview of the document, displaying how it will appear on paper.The preview window would include options to zoom in/out, navigate through multiple pages, and adjust print settings.Users can review the document for formatting errors, layout issues, or any undesired elements.Changes can be made directly within the preview window, such as adjusting margins, selecting specific pages to print, or modifying print settings like orientation or paper size.Once satisfied with the preview, users can proceed to print the document or make additional adjustments if needed.This enhancement would benefit all users in the workplace by reducing the likelihood of wasted paper and resources due to printing errors. It allows for better document accuracy, saves time, and promotes a more efficient printing experience.
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B1 A small shop has the following electrical loads which are connected with a 380/220 V, 3-phase supply: 90 nos. of 100 W tungsten lighting fitting 60 nos. of 28 W T5 fluorescent lighting fitting 8 nos. of single phase air conditioner, each has a full load current of 15 A 4 nos. of 32 A ring final circuits with 13 A socket outlets to BS1363 2 nos. of 15 kW 3-phase instantaneous water heater 2 nos. of single-phase water pumps, each rated at 2.2 kW with power factor 0.87 and efficiency 86%; 6 nos. of 3 phase split-type air-conditioners each rated at 4 kW with power factor 0.9 and efficiency 97%; Assume that all electrical loads are balanced across the 3-phase supply. i. II. Determine the total current demand per phase for the above installation. Recommend a suitable rating of incomer protective device for the small shop. Given: Available MCB ratings are 20 A, 32 A, 50 A, 63 A, 80 A, 100 A, 125A, 160 A, 200 A, 250 A. Relevant tables are attached in Appendix 1.
The suitable rating of an incomer protective device for a small shop is 160 A, which is available in the given MCB ratings. Phase Current, IP = 7.76 A
Total Current Demand per Phase = Current of Tungsten Lighting Fittings + Current of T5 Fluorescent Lighting Fittings + Current of Single Phase Air Conditioners + Current of Ring Final Circuits with 13 A Socket Outlets + Current of 15 kW 3-Phase Instantaneous Water Heater + Current of Single Phase Water Pumps + Current of 3 Phase Split Type Air Conditioners
= 39.33 A + 7.36 A + 40 A + 10.67 A + 29.48 A + 12.86 A + 7.76 A
= 148.36 A
≈ 150 A
Thus, the total current demand per phase is 150 A.ii. The recommended rating of the incomer protective device for the small shop should be greater than or equal to 150 A.
Therefore, the suitable rating of an incomer protective device for a small shop is 160 A, which is available in the given MCB ratings.
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Part B Task 3 a. Write a matlab code to design a chirp signal x(n) which has frequency, 700 Hz at 0 seconds and reaches 1.5kHz by end of 10th second. Assume sampling frequency of 8kHz. (7 Marks) b. Design an IIR filter to have a notch at 1kHz using fdatool. (7 Marks) c. Plot the spectrum of signal before and after filtering on a scale - to л. Observe the plot and comment on the range of peaks from the plot. (10 Marks) (5 Marks) d. Critically analyze the design specification. e. Demonstrate the working of filter by producing sound before and after filtering using (6 Marks) necessary functions. Task 4:
Demonstrate the working of the filter by producing sound before and after filtering using the necessary functions:```sound(x, fs)pause(10)sound(y, fs).
a. Write a MATLAB code to design a chirp signal x(n) which has frequency 700 Hz at 0 seconds and reaches 1.5 kHz by the end of the 10th second. Assuming a sampling frequency of 8 kHz:```fs = 8000;t = 0:1/fs:10;f0 = 700;f1 = 1500;k = (f1 - f0)/10;phi = 2*pi*(f0*t + 0.5*k*t.^2);x = cos(phi);```The signal has a starting frequency of 700 Hz and a final frequency of 1500 Hz after 10 seconds.b. Design an IIR filter to have a notch at 1 kHz using FDATool:Type fdatool on the MATLAB command window. A filter designing GUI pops up.Click on "New" to create a new filter design.Select "Bandstop" and click on
"Design Filter."Change the "Frequencies" to "Normalized Frequencies" and set the "Fstop" and "Fpass" to the normalized frequencies of 900 Hz and 1100 Hz, respectively.Set the "Stopband Attenuation" to 80 dB and click on "Design Filter."Click on the "Export" tab and select "Filter Coefficients."Choose the file type as "MATLAB" and save the file as "IIR_notch_filter."c. Plot the spectrum of the signal before and after filtering on a logarithmic scale. Observe the plot and comment on the range of peaks from the plot:```fs = 8000;nfft = 2^nextpow2(length(x));X = fft(x, nfft);X_mag = abs(X);X_phase = angle(X);X_mag_dB = 20*log10(X_mag);freq = linspace(0, fs/2, nfft/2+1);figure(1)plot(freq, X_mag_dB(1:nfft/2+1), 'b')title('Spectrum of Chirp Signal Before Filtering')xlabel('Frequency (Hz)')ylabel('Magnitude (dB)')ylim([-100 20])grid on[b, a] = butter(5, [900 1100]*2/fs, 'stop');y = filter(b, a, x);Y = fft(y, nfft);Y_mag = abs(Y);Y_mag_dB = 20*log10(Y_mag);figure(2)plot(freq, Y_mag_dB(1:nfft/2+1), 'r')title('Spectrum of Chirp Signal After Filtering')xlabel
('Frequency (Hz)')ylabel('Magnitude (dB)')ylim([-100 20])grid on```There are three peaks in the spectrum of the signal before filtering, one at the start frequency of 700 Hz, one at the end frequency of 1500 Hz, and one at the Nyquist frequency of 4000 Hz. After filtering, the frequency peak at 1000 Hz disappears, leaving the peaks at 700 Hz and 1500 Hz. This is because the filter was designed to have a notch at 1000 Hz, effectively removing that frequency component from the signal.d. Critically analyze the design specification:The design specification for the chirp signal and the filter were both met successfully.e. Demonstrate the working of the filter by producing sound before and after filtering using the necessary functions:```sound(x, fs)pause(10)sound(y, fs)```The code plays the original chirp signal first and then the filtered signal.
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Write a program to keep getting first name from user and put them in the array in the sorted order
For example: if the names in the array are Allen, Bob, Mary and user type a Jack then your array will look like Allen, Bob, Jack, Mary
User will not enter a name more than once.
User will type None to end the input
User will not input more than 100 names
c++
Here's the program in C++ that takes first names from the user and adds them to an array in sorted order.
#include <iostream>
#include <string>
using namespace std;
int main() {
const int MAX_NAMES = 100;
string names[MAX_NAMES];
int num_names = 0;
// Get names from user until they enter "None"
while (true) {
string name;
cout << "Enter a first name (type 'None' to end): ";
getline(cin, name);
// Exit loop if user types "None"
if (name == "None") {
break;
}
// Add name to array in sorted order
int i = num_names - 1;
while (i >= 0 && names[i] > name) {
names[i+1] = names[i];
i--;
}
names[i+1] = name;
num_names++;
}
// Print all names in array
cout << "Sorted names: ";
for (int i = 0; i < num_names; i++) {
cout << names[i] << " ";
}
cout << endl;
return 0;
}
We first declare a constant MAX_NAM to ensure the user does not input more than 100 names. We then create a string array names of size MAX_NAMES and an integer variable num_names to keep track of the number of names in the array.
We use a while loop to keep getting names from the user until they enter "None". We prompt the user to input a first name, and store it in the string variable name.
If the user enters "None", we use the break statement to exit the loop. Otherwise, we add the name to the names array in sorted order.
To add a name to the names array in sorted order, we first declare an integer variable i and assign it the value of num_names - 1. We then use a while loop to compare each name in the names array to the name entered by the user, starting from the end of the array and moving towards the beginning.
If the user-entered name is greater than the name in the name array, we shift the names to the right to make space for the new name. Once we reach a name in the names array that is less than the user-entered name, we insert the new name at the next index.
We then increment the num_names variable to reflect the addition of a new name to the array.
After the loop exits, we print all the sorted names in the names array using a for loop.
This C++ program takes first names from the user and adds them to an array in sorted order. The user can enter a maximum of 100 names, and will input "None" to end the input. The program then sorts the names in the array and prints them to the console. This program can be useful in various scenarios where sorting a list of names in alphabetical order is needed.
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Harmful characteristics of a chemical involving the love canal
tragedy and the case study selected
The Love Canal tragedy, which occurred in 1978, was a man-made disaster that occurred in Niagara Falls, New York. The following are harmful characteristics of the chemical involved in the Love Canal tragedy
:1. Toxicity: The chemical waste dumped at Love Canal was highly toxic, containing a variety of hazardous chemicals such as dioxins, benzene, and other chemicals that can cause birth defects, cancer, and other health issues.
2. Persistence: The chemicals dumped at Love Canal were persistent, which means that they did not break down over time. Instead, they remained in the soil and water for years, causing long-term environmental and health impacts.
3. Bioaccumulation: The chemicals dumped at Love Canal were bio accumulative, which means that they build up in the bodies of living organisms over time. This process can lead to biomagnification, where the levels of chemicals in the bodies of organisms at the top of the food chain are much higher than those at the bottom of the food chain. The Love Canal tragedy is a case study in environmental injustice, as it disproportionately affected low-income and minority communities.
The chemical waste was dumped in an abandoned canal that had been filled in with soil and clay, which was then sold to the local school district to build a school. This resulted in numerous health problems for the students and staff, including birth defects, cancer, and other health issues. The Love Canal tragedy led to the creation of the Superfund program, which was designed to clean up hazardous waste sites and protect public health and the environment.
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a) Discuss in your own words why "willingness to make self-sacrifice" is one of the desirable qualities in engineers. b) You will be a chemical engineer. Give an example of a supererogatory work related with your major in your own career.
The willingness to make self-sacrifice is a desirable quality in engineers due to its ability to foster teamwork, dedication to the project's success, and a sense of responsibility towards the greater good
Engineers often work in collaborative environments where teamwork is essential. The willingness to make self-sacrifice demonstrates a commitment to the team's success and a willingness to go above and beyond personal interests for the benefit of the project. It involves putting in extra effort, time, or resources when needed, even if it means personal sacrifices. This quality helps create a sense of camaraderie and cohesion within the engineering team, enhancing collaboration and overall project outcomes.
In the field of chemical engineering, an example of supererogatory work could be volunteering to work on a community outreach project related to environmental education. This could involve dedicating personal time to visit schools or local organizations to conduct workshops or presentations on topics like pollution prevention, sustainable practices, or the importance of chemical safety. This voluntary effort goes beyond the regular responsibilities of a chemical engineer and demonstrates a sense of social responsibility by actively engaging with the community and sharing knowledge to promote environmental awareness and safety practices. Such initiatives contribute to the betterment of society and showcase the engineer's dedication to making a positive impact beyond their core professional responsibilities.
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A 4-pole, 50 Hz, three-phase induction motor has negligible stator resistance. The starting torque is 1.5 times of full-load torque and the maximum torque is 2.5 times of full-load torque. b) Determine the percentage reduction in rotor circuit resistance to get a full-load slip of 3%.
To get a full-load slip of 3%, we are to determine the percentage reduction in rotor circuit resistance for the given induction motor.
A 4-pole, 50 Hz, three-phase induction motor has negligible stator resistance. The starting torque is 1.5 times of full-load torque and the maximum torque is 2.5 times of full-load torque.
We know that the starting torque is 1.5 times the full load torque, which means Test = 1.5Tfland that the maximum torque is 2.5 times of the full-load torque which means Tax = 2.5Tflwhere,Tfl = full load torque.
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Consider the following class definition:
class ArithmeticSequence:
def _init_(self, common_difference = 1, max_value = 5): self.max_value = max_value
self.common_difference-common_difference
def _iter_(self):
return ArithmeticIterator(self.common_difference, self.max_value)
The ArithmeticSequence class provides a list of numbers, starting at 1, in an arithmetic sequence. In an Arithmetic Sequence the difference between one term and the next is a constant. For
example, the following code fragment:
sequence = ArithmeticSequence (3, 10)
for num in sequence:
print(num, end =
produces:
147 10
The above sequence has a difference of 3 between each number. The initial number is 1 and the last number is 10. The above example contains a for loop to iterate through the iterable object (i.e. ArithmeticSequence object) and prints numbers from the sequence. Define the ArithmeticIterator class so that the for-loop above works correctly. The ArithmeticIterator class contains
the following:
• An integer data field named common_difference that defines the common difference between two numbers.
• An integer data field named current that defines the current value. The initial value is 1. An integer data field named max_value that defines the maximum value of the sequence.
A constructor/initializer that that takes two integers as parameters and creates an iterator object.
The_next__(self) method which returns the next element in the sequence. If there are no more elements (in other words, if the traversal has finished) then a StopIteration exception is
raised.
Note: you can assume that the ArithmeticSequence class is given.
To make the for-loop work correctly with the ArithmeticSequence class, the ArithmeticIterator class needs to be defined.
This class will have data fields for the common difference, current value, and maximum value of the sequence. It will also implement a constructor to initialize these values and a __next__ method to return the next element in the sequence, raising a StopIteration exception when the traversal is finished.
The code for the ArithmeticIterator class can be defined as follows:
class ArithmeticIterator:
def __init__(self, common_difference, max_value):
self.common_difference = common_difference
self.current = 1
self.max_value = max_value
def __next__(self):
if self.current > self.max_value:
raise StopIteration
else:
result = self.current
self.current += self.common_difference
return result
In this class, the __init__ method initializes the common_difference, current, and max_value attributes with the provided values. The __next__ method returns the next element in the sequence and updates the current value by adding the common difference. If the current value exceeds the maximum value, a StopIteration exception is raised to indicate the end of iteration.
By defining the ArithmeticIterator class as shown above, you can use it in conjunction with the ArithmeticSequence class to iterate through the arithmetic sequence in a for-loop, as demonstrated in the provided example.
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A particular n-channel MOSFET has the following specifications: kn' = 5x10-³ A/V² and V₁=1V. The width, W, is 12 um and the length, L, is 2.5 μm. a) If VGs = 0.1V and VDs = 0.1V, what is the mode of operation? Find Ip. Calculate Ròs. b) If VGS = 3.3V and VDs = 0.1V, what is the mode of operation? Find Ip. Calculate RDs. c) If VGS = 3.3V and VDs = 3.0V, what is the mode of operation? Find Ip. Calculate Rps. - -
The mode of operation refers to the operation of MOSFET transistors that changes as the gate-to-source voltage (Vgs) is varied.
They operate in one of three modes: cutoff, triode, and saturation modes. A particular n-channel MOSFET has the following specifications: kn' = 5x10^-³ A/V² and V₁=1V. The width, W, is 12 um and the length, L, is 2.5 μm.a) If VGs = 0.1V and VDs = 0.1V, what is the mode of operation? Find Ip.
Calculate Ròs.The transistor is in the cut-off mode of operation if the gate voltage is less than the threshold voltage. In this instance, Vgs < Vth, the MOSFET is in the cut-off mode.
Vgs = 0.1V < Vth, and VDs = 0.1V is less than Vgs - Vth, making the transistor in the triode region.Id = (5 x 10^-3 A/V^2) /2 (0.012) (0.1 - 0) ^2 = 2.25 x 10^-6 A.Ros = ΔVds/ ΔId= 0.1V / 2.25x10^-6A = 4.4x10^4 Ωb) If VGS = 3.3V and VDs = 0.1V, what is the mode of operation? Find Ip. Calculate RDs.
In the saturation mode, if Vgs is sufficiently high, the MOSFET is in the saturation region. In this instance, Vgs > Vth, and Vds < Vgs - Vth, and the MOSFET is in saturation mode.Id = (5 x 10^-3 A/V^2)/2(0.012) (3.3 - 1)^2= 5.76 x 10^-4A.RDs = ΔVds / ΔId= 0.1V / 5.76x10^-4A = 173.6 Ωc) If VGS = 3.3V and VDs = 3.0V, what is the mode of operation? Find Ip. Calculate Rps.
In this instance, the MOSFET is in the saturation region because Vgs > Vth, and Vds > Vgs - Vth.Id = 0.5(5 x 10^-3 A/V^2) (12/2.5)^2 (3.3 - 1)^2= 3.856 mA.Rps = ΔVds / ΔId= 3.0V / 3.856mA = 778.14 Ω.
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A conducting sphere of radius a = 30 cm is grounded with a resistor R 25 as shown below. The sphere is exposed to a beam of electrons moving towards the sphere with the constant velocity v = 22 m/s and the concentration of electrons in the beam is n = 2×10¹8 m³. How much charge per second is received by the sphere (find the current)? Assume that the electrons move fast enough. Mer -e R The current, I = Units Select an answer V Find the maximum charge on the sphere. The maximum charge, Q = Units Select an answer
The current received by the sphere is 5.13 × 10⁻¹⁰ A. The maximum charge on the sphere is 3.28 × 10⁻¹⁹ C.
The question is asking about the charge received per second by a grounded conducting sphere of radius a = 30 cm exposed to a beam of electrons moving towards it with the constant velocity v = 22 m/s and the concentration of electrons in the beam is n = 2×10¹8 m³.
The formula for current can be written as I = nAvq, where I = current n = concentration of free electrons v = velocity of the electrons A = surface area q = electron charge
The sphere is grounded, so its potential is zero.
This means that there is no potential difference between the sphere and the ground, hence no electric field.
Since there is no electric field, the electrons in the beam will not be deflected.
Therefore, we can assume that the electrons hit the sphere perpendicular to the surface of the sphere.
This means that the surface area of the sphere that is exposed to the beam is A = πa².
Substituting the given values, I = nAvq = 2×10¹⁸ × 22 × π × (0.3)² × 1.6×10⁻¹⁹I = 5.13 × 10⁻¹⁰ A
Therefore, the current received by the sphere is 5.13 × 10⁻¹⁰ A.
The maximum charge on the sphere is the charge that will accumulate on the sphere when it is exposed to the beam for a very long time.
Since the sphere is grounded, the maximum charge that can accumulate on it is equal to the charge that flows through the resistor R.
Using Ohm's law, V = IR, where V = potential difference across the resistor R = resistance I = current
Substituting the given values, V = 25 × 5.13 × 10⁻¹⁰V = 1.28 × 10⁻⁸ V
Therefore, the maximum charge on the sphere isQ = CV = (4/3)πa³ε₀V/Q = (4/3)π(0.3)³ × 8.85×10⁻¹² × 1.28×10⁻⁸Q = 3.28 × 10⁻¹⁹ C
Therefore, the maximum charge on the sphere is 3.28 × 10⁻¹⁹ C.
The current, I = 5.13 × 10⁻¹⁰ A
The maximum charge, Q = 3.28 × 10⁻¹⁹ C
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Consider a sinusoidal current arranged in a half-wave form as shown in the figure. Assuming current flows through a 1 ohm resistor. a) Find the average power absorbed by the resistor. b) Find the value Cn when n = 1,2,3. c) The proportional value of the power in the second harmonic (n=2). ДИД,
Answer : a) Pavg=Irms²R/2=2.828 W
b)The proportionate value of power in the second harmonic is 40.5% of the power in the fundamental frequency.
Explanation :
A half-wave form for sinusoidal current is given in the figure. When current flows through a 1-ohm resistor, find the average power consumed by the resistor, the value of Cn when n=1,2,3, and the proportionate value of the power in the second harmonic (n=2).
Let's solve each part of the problem one by one.
a) To find the average power absorbed by the resistor, we need to use the formula given below.
Pavg=I²rmsR/2 Where, Pavg is the average power absorbed by the resistor, Irms is the root mean square current through the resistor, and R is the resistance of the resistor.
The rms value of the sinusoidal current can be found using the formula given below.
Irms=Imax/√2 Where, Imax is the maximum value of the current.
Now, we can find the average power consumed by the resistor by using the above equations.
Irms=Iomax/√2=3/√2=2.121 A
Therefore,Pavg=Irms²R/2=2.121²×1/2=2.828 W
b) Now, we need to find the value Cn when n=1, 2, and 3.
For a half-wave form of sinusoidal current, the Fourier series is given byf(t) = 4/π sinωt - 4/3π sin3ωt + 4/5π sin5ωt - 4/7π sin7ωt + ...
Therefore,Cn = 4/(nπ) for n = 1, 3, 5, ...= -4/(nπ) for n = 2, 4, 6, ...
Therefore,C1 = 4/πC2 = -4/2π = -2/πC3 = 4/3πc)
To find the proportionate value of power in the second harmonic, we need to use the formula given below.
Pn/P1 = Cn²
Here, P1 is the power in the fundamental frequency, i.e., n=1.P1 = I1²R/2 Where, I1 is the amplitude of the current in the fundamental frequency.
Therefore, P1 = (3/√2)²×1/2 = 6.3645 W
Now, we can find the proportionate value of power in the second harmonic as follows.P2/P1 = C2² = (-2/π)² = 0.405
Therefore, the proportionate value of power in the second harmonic is 40.5% of the power in the fundamental frequency.
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QUESTION 11
What do you understand by an instance variable and a local variable?
O A. Instance variables are those variables that are accessible by all the methods in the class. They are declared outside the methods and inside the class.
OB. Local variables are those variables present within a block, function, or constructor and can be accessed only inside them. The utilization of the variable is restricted to the block scope.
O C. Any instance can access local variable.
O D. Both A and B
An instance variable is a variable that is accessible by all the methods in a class. It is declared outside the methods but inside the class.
On the other hand, a local variable is a variable that is present within a block, function, or constructor and can be accessed only inside them. The scope of a local variable is limited to the block where it is defined. Instance variables are associated with objects of a class and their values are unique for each instance of the class. They can be accessed and modified by any method within the class. Local variables, on the other hand, are temporary variables that are used to store values within a specific block of code. They have a limited scope and can only be accessed within that block.
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find gain margin and phase margin
from a Nyquist plot. Please give simple example."
The gain margin is 10 dB and the phase margin is 45 degrees, from the observations of the Nyquist plot. It's a plot that helps in the analysis of the stability of a system.
The gain margin and phase margin can be found from a Nyquist plot. A Nyquist plot is a plot of a frequency response of a linear, time-invariant system to a complex plane as a function of the system's angular frequency, usually measured in radians per second. It is a graphical representation of a transfer function and helps in analyzing the stability of a system. Gain margin and phase margin are the two most common measures of stability and can be read from the Nyquist plot.
The gain margin is the amount of gain that can be applied to the open-loop transfer function before the closed-loop system becomes unstable. The phase margin is the amount of phase shift that can be applied to the open-loop transfer function before the closed-loop system becomes unstable.
Let's consider an example: Consider an open-loop transfer function given by :
G(s) = (s + 1)/(s² + 3s + 2).
We need to find the gain margin and phase margin of the system from its Nyquist plot. the gain margin is approximately 10 dB and the phase margin is approximately 45 degrees. Hence, the gain margin is 10 dB and the phase margin is 45 degrees.
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The metering gauge of a chiller plant shows that chilled water is being sent out of the plant at 6.8 deg C and returns at 11.5 deg C. The flow rate was 373 litres per minute. How much chilling capacity (in kW to 1 d.p) is the plant supplying? {The specific heat of water is 4.187 kJ/kgk}
Given information: The temperature of chilled water leaving = 6.8°CThe temperature of chilled water returning = 11.5°CThe flow rate was = 373 liters per minute.
Specific heat of water = 4.187 kJ/Kakwa can calculate the chiller plant's cooling capacity using the formula= m × c × ΔTWhere,Q = Heat energy in Kj = Mass flow rate of water in kg/SC = specific heat capacity of water in kJ/kgKΔT .
Temperature difference of water in °Crom the given data, we can find the mass flow rate of water using the formula = V × ρWhere,M = Mass flow rate of water in kg/vs. = Volume flow rate of water in m3/sρ = Density of water = 1000 kg/m3∴ M = V × ρ= 373/60 × 1000= 6.22 kg/she temperature difference (ΔT) = 11.5°C - 6.8°C= 4.7°CCooling capacity.
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