A triatomic molecule is oriented as follows along the x-axis: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia of this molecule about the y-axis?

Answers

Answer 1

The moment of inertia of this molecule about the y-axis is 14ma^2.

The moment of inertia, also called angular mass or rotational inertia, of a rigid body refers to a quantity that determines the required torque for a desired angular acceleration about a rotational axis. Moment of inertia is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation.  Hence, moment of inertia of a system about an axis can be found by simply adding each of their moments, i.e., I = I1 + I2 + I3…+ In. Moment of inertia is given as: I = mr^2

Hence, based on given information:

I = m1(r1)^2 + m2(r2)^2 + m3(r3)^2

I = m(0)^2 + 2m(a)^2 + 3m(2a)^2

I = 2ma^2 + 12ma^2

I = 14ma^2

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Related Questions

0.25 mol of potassium nitrate is added to enough water to make a 175 mL solution.
What is the molar concentration of potassium nitrate?

Answers

A solute is a species that dissolves within a liquid solvent to form a solution—a single, uniform mixture. The total volume of the solution can be expressed in liters.

The total amount of solute contained within can be expressed as a number of moles. The solute concentration in molarity is calculated by combining these two values. The molarity is expressed in "mol/L" according to the required calculation, though it is frequently written in "M" units.

What does molarity stand for?

The amount of a substance in a certain volume of solution is known as its molarity (M). Molarity is the ratio of a solute's moles to liters of solution. The molar concentration of a solution is another name for molarity.

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These cells produce hyrdochloric acid

Answers

The best-known component of gastric juice is hydrochloric acid, the secretory product of the parietal, or oxyntic cell. It is known that the capacity of the stomach to secrete HCl is almost linearly related to parietal cell numbers.

the half life of the isotope of uranium of mass number 234 grams is 2.5 * 10^5 years . how long after isolation of a sample of this isotope will only one sixth of the original mass be left

Answers

AThe half-life of an isotope is the amount of time it takes for half of the atoms in a sample to decay. If the half-life of a sample of uranium-234 is 2.5 * 10^5 years, it means that after 2.5 * 10^5 years, half of the atoms in the sample will have decayed.

If you want to know how long it will take for only one sixth of the original mass to be left, you can use the following formula:

t = (half-life) * log(2) / log(1/6)

Plugging in the values, we get:

t = (2.5 * 10^5 years) * log(2) / log(1/6)

This simplifies to:

t = 3.7 * 10^5 years

So it will take approximately 3.7 * 10^5 years for only one sixth of the original mass to be left.nswer:

2 C2H2(g) + 5 O2(g) → 4 CO2(g) + 2 H2O(g)
What is the total number of grams of O2(8) needed to react completely with 0.50 mole of
C2H2(g)?

Answers

Taking into account the reaction stoichiometry, 40 grams of O₂ are needed to react with 0.50 moles of C₂H₂.

Reaction stoichiometry

In first place, the balanced reaction is:

2 C₂H₂ + 5 O₂ → 4 CO₂ + 2 H₂O

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

C₂H₂:  2 moles O₂: 5 moles CO₂: 4 moles H₂O: 2 moles

The molar mass of the compounds is:

C₂H₂:  26 g/mole O₂: 32 g/moleCO₂: 44 g/moleH₂O: 18 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

C₂H₂:  2 moles× 26 g/mole= 52 grams O₂: 5 moles× 32 g/mole=  160 gramsCO₂: 4 moles× 44 g/mole= 176 gramsH₂O: 2 moles× 18 g/mole= 36 grams

Mass of O₂ needed

The following rule of three can be applied: if by stoichiometry of the reaction 2 moles of C₂H₂ react with 160 grams of O₂, 0.50 moles of C₂H₂ react with how much mass of O₂?

[tex]mass of O_{2} =\frac{0.50 moles of C_{2} H_{2}x160 grams of O_{2} }{2 moles of C_{2} H_{2}}[/tex]

mass of O₂= 40 grams

Finally, 40 grams of O₂ are needed to react with 0.50 moles of C₂H₂.

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COPY out the following sentences and fill in the gaps.

1. Sulfuric acid releases _____________ ions in solution. This makes the solution _______________________.

2. Sodium hydroxide is an ___________________. It releases ____________________ ions in solution. This makes the solution __________________________.

3. Write word and symbol equations for both of the above situations, a template is given below.

Sulfuric acid --> _____________ + ___________________

________ --> ___________ + ______________

Sodium hydroxide --> _____________________ + ___________________

______________ --> ______________ + __________________

Answers

Answer:

1. Hydrogen ions; acidic

2. Alkali; hydroxide ions; alkaline

3a. Sulfuric acid --> 2 Hydrogen ions + sulfate ion

H₂SO₄ --> 2H+ + SO₄²-

3b. Sodium hydroxide --> Sodium ion + Hydroxide ion

NaOH --> Na+ + OH-

Explanation:

1. Sulfuric acid releases hydrogen ions in solution. This makes the solution acidic.

Acids produce hydrogen ions when dissolved in aqueous solutions.

2. Sodium hydroxide is an alkali. It releases hydroxide ions in solution. This makes the solution alkaline.

Alkalis are soluble bases that produce hydroxide ions in solution.

3a. Sulfuric acid --> 2 Hydrogen ions + sulfate ions

H₂SO₄ --> 2H+ + SO₄²-

The equation above is for the ionization of sulfuric acid

b. Sodium hydroxide --> Sodium ion + Hydroxide ion

NaOH --> Na+ + OH-

The equation above is for the ionization of sodium hydroxide

How many Liters of H2O are needed to form 4 moles of O2?

Answers

there are 22.4 liters in 1 mole of O2 so you would need 89.6 liters

Which one of the following substances does not exist in the indicated solid type? Explain.
a. graphite - network
b. Na - metallic
c. SiO
2
- molecular
d. NaCl - ionic
e. diamond - network

Answers

The following substances does not exist in the indicated solid type : c.) SiO₂- molecular.

What type of solid is Si02?

SiO2 is a covalent solid and the solid state of silicon dioxide (SiO2) is a covalent crystal with sharing of valence electrons between the silicon atom and oxygen atoms.

Silicon dioxide is a silicon oxide made of linear triatomic molecules in which silicon atom is covalently bonded to two oxygens. Silicon dioxide which is often called silica is the main compound found in sand.

Silicon dioxide is not soluble in water as the interaction between SiO2 and water molecules is not sufficient to overcome the strong and extensive covalent bonds in giant molecule.

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a sample of n2o gas has a density of 3.10 g/l at 298 k.what must be the pressure of the gas (in mmhg)?

Answers

To determine the pressure of a gas, we need to use the ideal gas law, which states that PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

We can re-arrange the ideal gas law to solve for pressure:

P = (nRT) / V

We are given that the density of the gas is 3.10 g/L, which we can use to calculate the volume of the gas. Density is defined as mass/volume, so we can rearrange the equation to find volume:

V = mass/density

We know the density is 3.10 g/L, and the mass is n * molar mass of N2O.

Molar mass of N2O = (14.01 + 2 * 16.00) g/mol = 44.01 g/mol

The volume of the gas is:

V = mass / density = n * molar mass of N2O / 3.10 g/L

Now we have all the information needed to use the ideal gas law to determine the pressure of the gas.

We are given that the temperature of the gas is 298K.

We can use the ideal gas constant R = 0.0821 Latm/molK

Plugging in the known values:

P = (nRT) / V = (n * 0.0821 Latm/molK * 298K) / (n * molar mass of N2O / 3.10 g/L)

P = (0.0821 * 298) / (44.01 / 3.10) atm

To convert the pressure in atm to mmHg, we need to multiply the pressure by 760 (1 atm = 760 mmHg)

P = (0.0821 * 298) / (44.01 / 3.10) * 760 mmHg

The pressure of the N2O gas is approximately 739.07 mmHg at 298K and density of 3.10 g/L.

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A cup of water contains 8.37 x 10^24 molecules of water. How many moles of water are in the cup?

Answers

There would be 13.9 moles of the water.

What is the number of molecules?

We know that we could be able to use the Avogadro's number so as to determine the number of the molecules. this would stem from the postulation that one  mole of the substances would in it about 6.02 * 10^23 molecules of the water.

We would now be able to say based on the information that have been passed above in the question;

1 mole of water would contain 6.02 * 10^23 molecules of the water

x moles of water would contain 8.37 x 10^24 molecules

x = 8.37 x 10^24 molecules * 1/6.02 * 10^23

x = 13.9 moles

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10. What is the difference between a pure and non-pure substance?

Answers

Answer:a pure substance consists only of one element or one compound. a mixture consists of two or more different substances, not chemically joined together

Explanation:

How many grams of BeF2 are present in 655 ml of a 0.442 m solution of Bef2

Answers

Answer:

13.6 g

Explanation:

The mass of BeF₂ present in 655 ml of a solution that is 0.442 M is equal to 13.82 g.

What is the molarity?

We can calculate the concentration of a solute in a solution in terms of molarity, molality, and normality.

The molarity of a particular solution can be determined from the number of moles of a solute per unit volume of the solution.

The Molarity of the particular solution can be determined from the mathematical formula mentioned below:

Molarity = Moles/Volume of the Solution

Given, the molarity of BeF₂ solution = 0.442 M

The volume of the BeF₂ solution, V = 655 ml = 0.655 L

The molar mass of the BeF₂, M = 47.01 g/mol

Molarity of BeF₂ solution = m/(M × V)

0.442 = m/ (47.01 × 0.655)

m = 13.82 g

Therefore, 13.82 g of BeF₂ is required for the given solution.

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Iron has a BCC crystal structure, an atomic radius of 0. 124 nm, and an atomic weight of 55. 85 g/mol. Compute its theoretical density

Answers

Iron has a BCC crystal structure, an atomic radius of 0. 124 nm, and an atomic weight of 55. 85 g/mol. its theoretical density is 7.9 g /cm³.

The molar mass of the iron = 55.85 g/mol

The atomic radius = 0.124 nm

the edge length is given as :

a = (4r) / √3

a = ( 4 × 0.124 × 10⁻⁷ cm ) / √3

a = 2.86 × 10⁻⁸ cm

The density is given below :

density = ( Z × M ) / Na × a³

density = ( 2 × 55.85 ) / (6.023 ×10²³) × ( 2.86 × 10⁻⁸ )

density = 7.9 g/cm³

Thus the theoretical density is 7.9 g/cm³.

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For the reaction given below, 2.00 moles of A and 3.00 moles of B are placed in a 6.00-L container. At equilibrium, the concentration of A is 0.246 mol/L. What is the concentration of B at equilibrium? A) 0.246 mol/L B) 0.325 mol/L C) 0.500 mol/L D) 0.492 mol/L E) none of these

Answers

The equilibrium concentration of B is 0.325 mol/L.

The correct option is B.

What is the equilibrium concentration of B in the given reaction?

The equilibrium concentration of B in the given reaction is calculated below as follows:

The concentration of A at equilibrium, [A]  = 0.246 mol/L

Constructing an ICE table

          A(g)     +      2B (g)   →      C(g)

I         2 mole         3 moles           -

C      0.524            1.048            0.524

E        0.246         (3 - 1.048) / 6

From the equation of the reaction:

(2 - x) / 6L  =  0.246 mol/L

2 - x = 0.246 * 6

2 - x = 1.476

x = 2 - 1.476

x = 0.524 moles

[B] = (3 - 1.048) / 6

[B] = 0.325 mol/L

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Complete question:

For the reaction given below, 2.00 moles of A and 3.00 moles of B are placed in a 6.00-L container.

A(g) + 2B(g) C(g)

At equilibrium, the concentration of A is 0.246 mol/L. What is the concentration of B at equilibrium? A) 0.246 mol/L B) 0.325 mol/L C) 0.500 mol/L D) 0.492 mol/L E) none of these

hjgkhbmhjmhjzdsj,zdzkjfls.

Answers

What does that mean.
Don’t nobody know what that means . Djehdhsjs

explain why vehicles of mombasa rust faster than vehicles at nairobi​

Answers

Answer:

The primary reason why cars in Mombasa rust faster than those in Nairobi is because the humidity ( water evaporation rate) in Mombasa is higher than that of Nairobi. Since Mombasa has higher temperatures the rate of water evaporation is higher which results into a higer humidity.

Explanation:

This is why cars in Mombasa rust faster than those in Nairobi

Please help

The pressure of a 70.0L sample of gas is 600 mm Hg at 20.0°C. If the temperature drops to 15.0"C and the volume expands to 90.0 L, what will the
pressure of the gas be?

Answers

Answer:

"457.2 mm.Hg" is the right solution.

Explanation:

Given:

Pressure,

[tex]P_1=600 \ mm.Hg[/tex]

[tex]P_2 = ?\\[/tex]

Volume,

[tex]V_1=70.0 \ L[/tex]

[tex]V_2=90.0 \ L[/tex]

Temperature,

[tex]T_1=20^{\circ}[/tex]

or,

   [tex]=293 \ K[/tex]

[tex]T_2=15.0^{\circ}[/tex]

or,

    [tex]=288 \ K[/tex]

As we know,

⇒  [tex]\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}[/tex]

By putting all the given values in the above expression, we get

⇒  [tex]\frac{0.789\times 70}{293} =\frac{P_2\times 90}{288}[/tex]

⇒  [tex]0.188=\frac{P_2\times 90}{288}[/tex]

By applying cross-multiplication, we get

⇒  [tex]P_2=\frac{0.188\times 288}{90}[/tex]

⇒       [tex]=\frac{54.144}{90}[/tex]

⇒       [tex]=0.6016 \ atm[/tex]

or,

⇒       [tex]=457.2 \ mm.Hg[/tex]

Using the table of average bond energies, estimate the energy needed to break the bonds of the reactants and the energy released when the products from for the reaction N2 + O2 –> 2NO. Note N2 has a triple bond and O2 and NO have double bonds.

Answers

The energy that is released for the breaking of bonds is 229 kJ/mol.

What is the energy released?

We should be able to recall that the enthalpy of the reaction taken to be the energy that is evolved or absorbed in the reaction that is ongoing. We have to note that in the course of the reaction there would be the breaking and the making of bonds.

Now we know that;

The bond energy can be given as;

Sum energy of the broken bonds of reactants  - Sum of the energy of the formed bonds

Hence;

(945 + 498) - 2(607)

1443 - 1214

= 229 kJ/mol

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what are the two quantities in this module for which we will develop unit factors to do dimensional analysis with chemical substances?

Answers

The two quantities in this module for which we will develop unit factors to do dimensional analysis with chemical substances are mass (usually measured in grams) and volume (usually measured in liters).

Developing Unit Factors for Mass and Volume in Chemical Substances

Unit factors are developed to convert between two different units of measurement, in this case, mass and volume. We can do this by multiplying the given value by the appropriate unit factor to convert the given value from one unit to the other. For example, if we are given a mass of 10 grams, we can convert this to liters using the unit factor 1 gram = 1 liter. Thus, 10 grams = 10 liters.

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How can the location of an electron in an atom be described?​

Answers

Answer:

electron are on the outside of the nucleus and form rings

Explanation:

What process do orcas use oxygen for?

Answers

The process orcas uses the oxygen is from the blowholes. the blow holes are situated on the top of of the head and it uses oxygen from their.

The whales and the humans uses the lungs for the respiration or to get oxygen required for the breathing. the orcas uses the oxygen from the blow holes situated at the top of the head. The orcas lives under the water and when the orcas dive in the water they have ability to hold the breath for at the time . but this is not good for the health . it is be very stressful for the body.

Thus, the process do the orcas uses oxygen for the intake is the from the blow holes.

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How do you stop a chemical burn from burning?

Answers

Remove dry chemicals.Remove contaminated clothing or jewelry. Bandage the burn. Rinse again if needed.

the amount of harm to the skin relies upon on how strong the chemical was, how lots of it become at the skin, and how long it become there. Chemical burns, even minor ones, can be very painful. A minor burn may heal inside a few days. however a extra extreme burn might also take weeks or maybe months to heal completely.you need to now not use ice, or even ice-bloodless water, on a burn. extreme cold carried out to a burn can further damage the tissue. to properly cool and clean a burn, remove any apparel that covers it.

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what are the two quantities in this module for which we will develop unit factors to do dimensional analysis with chemical substances?

Answers

The two portions on this module for which we can broaden unit elements to do dimensional analysis with chemical materials are volume and mass.

volume is a degree of the quantity of three-dimensional space occupied by using an object or substance. it's miles regularly measured in liters, cubic centimeters, or cubic meters. volume is used to measure the potential of a field, the dimensions of an object, or the quantity of liquid or gas in a given space. it's also used to determine the mass of an item, because the density (mass in line with unit quantity) is often acknowledged.

the 2 portions of volume and mass are critical for doing dimensional analysis with chemical substances because they help to measure the amount of a substance in distinct gadgets. extent is vital for measuring the quantity of liquid materials, and mass is critical for measuring the quantity of strong substances. each of these portions are vital for accurate and specific measurements of chemical substances, making them crucial for dimensional analysis.

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Has 13 protons and 14 neutrons what is its mass number?

Answers

An atom that has 13 protons and 14 neutrons will have mass number 27.

Rutherford demonstrated that an atom's nucleus, which is made up of protons and neutrons, contains the vast bulk of the atom's mass. The total number of protons and neutrons in an atom is referred to as the mass number. The number of protons(atomic number) and neutrons and their sum can be used to compute it.

We know that,

Mass number = Number of protons + Number of neutrons

= 13 + 14 = 27.

The mass number  is 27.

Therefore  an atom that have 13 protons and 14 neutrons will have mass number 27.

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Define corrosion and explain the different basis of tendency or resistance of different
metals to corrosion

Answers

Corrosion is the process of chemical or electrochemical attack of materials by their external environment.

The tendency/resistance of different metals to corrosion largely depends on the composition of the metal. Iron and steel corrode in the presence of oxygen due to oxidation, while some metals such as chromium, nickel and molybdenum provide a protective layer of oxide film on the surface of the metal which is then resistant to corrosion. Other metals such as aluminum and zinc form sacrificial oxide layers which corrode and protect the metal from becoming completely damaged.

URGENT!
Which value is most likely to be the pH of a salt that is formed by the reaction of a WEAK ACID and a STRONG BASE?

A. 2.0
B. 6.8
C. 7.0
D. 8.7

Answers

Answer:

D

Explanation:

A weak acid and a strong base will form a basic salt.

Option A is acidic, this pH would be found in salts formed from reactions between strong acids and weak bases.

B and C are neutral or close to neutral and as such will be formed from weak acids and weak bases, or strong acids and strong bases.

Answer:

Yea what they said^

Explanation:

Option 4 or D is correct

8.7 is your answer

MARK THE OTHER PERSON BRAINLIEST!!!

el agua con trozos de hielo es heterogenea o homogenea

Answers

El agua con hielo es sistema heterogénea .

Which of the following geometries for the complex ion [Fe(en)Cl4]? are possible?
O linear
O trigonal bipyramidal or square pyramidal
O octahedral
O trigonal planar
O tetrahedral or square planar

Answers

The following geometry for the complex ion [Fe(en)Cl4] is : octahedral.

What is meant by molecular geometries?

The arrangement of atoms in a molecule in three dimensions is known as molecular geometry, commonly referred to as the molecular structure. A compound's polarity, reactivity, phase of matter, color, magnetism, and biological activity can be determined by knowing its molecular structure.

Tetrahedral molecular geometry is present here (e.g. CH4). Trigonal pyramidal molecular geometry results from having three bond pairs and one lone pair of electrons (e.g. NH3). The geometry of the molecule is angular or curved if there are two bond pairs and two lone pairs of electrons (e.g. H2O).

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Causes and effects about climate change?

Answers

Explanation:

Causes of climate change are:

1.)Smoke from Vehicles and industrial activities

2.) Burning of polythenes.

3.) Because of green house effect

Effects are:

1.) Extinction of birds,plants and animals

2.) Melting of glaciers

3.) Rise in global temperature

Magnesium (Mg) has nine electrons. Which of the following shows the correct electron configuration for an atom of Mg?

2, 2, 5
7, 2
1, 8
2, 7

brailyist please help me

Answers

Answer:

2,7

Explanation:

Two in the first shell and 7 in the outer and last shell.

HOPE THIS HELPED

What is heat?In which direction does heat flow?What does thermochemistry involve?How do we measure heat?

Answers

Answer:

Question: What is heat?

Answer: Heat is a form of energy It can be transferred but not destroyed and is the energy that flows from a hotter object to a less hot to a cold one due to a temperature difference between the objects, meaning an object would continually be cold unless it acquires heat from a hot object or source through heat transfer mechanisms which can be conduction, convection, or radiation, and it is measured usually in calories or joules.

Question: In which direction does heat flow?

Answer: Heat practically flows from a hot object which has a higher temperature to a cold object which temperature is lower through conduction, convection, radiation.

Question: What does thermochemistry involve?

Answer: Thermochemistry is the study of heat as a form of energy making it possible to determine the relationship between heat and chemical reactions which is necessary to know if a reaction would take place or not.

Question: How do we measure heat?

Answer: it is measured usually in calories or joules using thermometers and pyrometers.

   

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