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A gas obeying the equation of state $P V = R T$ undergoes a hypothetical reversible process described by the equation, $P V^{\frac{5}{3}} \exp (- \frac{P V}{E_{0}}) = C_{1}$ , where $C_{1}$ and $E_{0}$ are dimensioned constants. Then, for this process, the thermal compressibility at high temperature

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Important Questions on Kinetic Theory of Gases and Thermodynamics

HARD

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 11 - Kinetic Theory of Gases and Thermodynamics>Exercise 1>Q 1

The ratio of r.m.s. speed to the r.ms. angular speed of a diatomic gas at a certain temperature is: (assume

m =

mass of one molecule,

M =

molecular mass,

I =

moment of inertia of the molecules)

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 11 - Kinetic Theory of Gases and Thermodynamics>Exercise 1>Q 2

A gas mixture consists of

2

moles of oxygen and

4

moles of argon at temperature

T

. Neglecting all vibrational modes, the total internal energy of the system is:

HARD

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 11 - Kinetic Theory of Gases and Thermodynamics>Exercise 1>Q 3

$V$ - $T$ diagram for a process of a given mass of ideal gas is as shown in the figure. During the process, the pressure of the gas

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 11 - Kinetic Theory of Gases and Thermodynamics>Exercise 1>Q 4

The molecules of an ideal gas have

6

degrees of freedom. The temperature of the gas is

T

. The average translational kinetic energy of its molecules is:

EASY

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 11 - Kinetic Theory of Gases and Thermodynamics>Exercise 1>Q 5

Four particles have velocities

1, 0, 2, 3 m s^{- 1}

. The root-mean-square velocity of the particles is: (in

m s^{- 1}

)

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 11 - Kinetic Theory of Gases and Thermodynamics>Exercise 1>Q 6

In a process, the density of a gas remains constant. If the temperature is doubled, then the change in the pressure will be:

HARD

KVPY Aptitude Test - Stream SA

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 11 - Kinetic Theory of Gases and Thermodynamics>Exercise 1>Q 7

Which of the following will have maximum total kinetic energy at temperature

300 K

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Practice Book for KVPY Aptitude Test - Stream SA Physics>Chapter 11 - Kinetic Theory of Gases and Thermodynamics>Exercise 1>Q 8

Assume a sample of an ideal gas in a vessel. Where velocity of molecules are between

2 m s^{- 1}, 5 m s^{- 1}

and velocity of molecules

(v)

and number of molecules

(n)

are related as

n = 7 v - v^{2} - 10

. The most probable velocity in sample is. where

v

is measured in

m s^{- 1}

A gas obeying the equation of state PV=RT undergoes a hypothetical reversible process described by the equation, PV53exp-PVE0=C1, where C1 and E0 are dimensioned constants. Then, for this process, the thermal compressibility at high temperature

Important Questions on Kinetic Theory of Gases and Thermodynamics

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