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Derivation of Kinetic Gas Equation

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Derivation of Kinetic Gas Equation. We covered all the Derivation of Kinetic Gas Equation in this post for free so that you can practice well for the exam.

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MCQ on Derivation of Kinetic Gas Equation for Students

The mean kinetic energy of a perfect gas monoatomic molecule at the temperature is

1. KT

2. 3KT/2

3. KT/2

4. -K/T

Option 2 – 3KT/2

The velocity of gas molecules is inversely proportional to

1. density

2. square root of density

3. cube of density

4. square of the density

Option 2 – square root of density

The ratio of specific heat of a gas changes with the atomicity of the gas as

1. constant

2. decrease

3. increase

4. directly proportional

Option 2 – decrease

If a, and b are Vander Waal’s constants, then the equation for Boyle’s temperature is

1. a/Rb

2. 4a/5Rb

3. 2a/Rb

4. 3a/Rb

Option 1 – a/Rb

At what temperature, does the kinetic energy of gas become equal to one electron volt?

1. 772 K

2. 473 K

3. 772 C

4. 373 K

Option 1 – 772 K

The relationship between inversion temperature and Boyle’s temperature of a gas is

1. T₁ = 2TB

2. T₁ = TB

3. T₁ = 4TB

4. T₁ = 3Tg

Option 1 – T₁ = 2TB

The equation of 8kg of oxygen corresponding is

1. PV = RT/4

2. P = RT/2

3. PV = 8RT

4. PV = RT

Option 1 – PV = RT/4

At room temperature the r.m.s. speed of the molecules of certain diatomic gas is found to be 1930 m/s. The gas corresponds to

1. Chlorine

2. Fluorine

3. Oxygen

4. Hydrogen

Option 4 – Hydrogen

The number of degrees of freedom of translatory and rotatory motion of a diatomic molecule is

1. 5

2. 2

3. 1

4. 4

Option 1 – 5

According to the kinetic theory of gases, the pressure of a gas is given by the expression P=2E/3V; Here E and V are the energy and volume of the gas molecule. In this case, what is the total energy

1. The rotational energy of the molecules

2. The mechanical energy of the molecules

3. The kinetic energy of the molecules

4. None of the above

Option 4 – None of the above

The molar heat capacity for an ideal gas

1. is zero for an adiabatic process

2. is equal to molecular weight and specific heat capacity for any process

3. depends only on the nature of gas for a process in which volume or pressure is constant and is infinite for an isothermal process

4. All of the above

Option 4 – All of the above

At a given temperature which of the following gases possesses maximum r.m.s. velocity.

1. CO₂

2.O₂

3. H₂

4. N₂

Option 3 – H₂

The kinetic theory of gases at absolute zero temperature

1. liquid helium freezes

2. molecular motion will be stopped

3. liquid hydrogen freezes

4. none of above

Option 2 – molecular motion will be stopped

Real gases can be treated as near-ideal gases when a real gas system is

1. at very high pressure but at standard temperature

2. at very high temperatures but at standard pressure

3. very low number of gas molecules per unit volume

4. at STP

Option 2 – at very high temperatures but at standard pressure

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