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Argon gas is adiabatically compressed to half of its volume. If $P,$ $V$ and $T$ represent the pressure, volume and temperature of the gaseous system respectively, then the correct equation representing the process is

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Important Questions on Thermodynamics

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Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 30

A fixed mass of helium gas is made to undergo a process in which its pressure varies linearly from

1 kPa

2 kPa

, in relation to its volume as the latter varies from

0.2 m^{3}

0.4 m^{3}

. The heat absorbed by the gas will be

HARD

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 31

The density of a polyatomic gas in standard conditions

(P = P_{a t m}, T = 0 ° C)

0.795 kg m^{- 3}

. The specific heat of the gas at constant volume is___ (Take

R = 8.31 J {mol}^{- 1} K^{- 1}

)

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 32

Oxygen gas is made to undergo a process in which its molar heat capacity $C$ depends on its absolute temperature

T

C = α T

. Work done by it when heated from an initial temperature

T_{0}

to a final temperature

2 T_{0}

, will be

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 33

Two moles of an ideal gas is contained in a cylinder fitted with a frictionless movable pistion, exposed to the atmosphere, at an initial temperature

T_{0}

. The gas is slowly heated so that its volume becomes four times the initial value. The work done by the gas is

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 34

If for hydrogen

C_{p} - C_{V} = m

and for nitrogen

C_{p} - C_{V} = n

where,

C_{p}

and

C_{V}

refer to specific heat per unit mass respectively at constant pressure and constant volume, the relation between

m

and

n

is (Molecular weight of hydrogen

= 2 g {mol}^{- 1}

and molecular weight of nitrogen

= 28 g {mol}^{- 1}

)

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 35

An ideal gas expands isothermally form a volume

V_{1}

V_{2}

and then compressed to original volume

V_{1}

adiabatically. The initial pressure is,

P_{1}

and the final pressure is,

P_{3}

. The total work done is,

W

. Then

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 36

An ideal gas

(γ = 1.5)

is expanded adiabatically. How many times the gas has to be expanded to reduce the root mean square velocity of the molecules

2

times?

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Physics

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 37

The equation of state for a gas is given by

P V = n R T + α V,

where

n

is the number of moles and

α

is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are

T_{0}

and

P_{0}

respectively. The work done by the gas when its temperature doubles isobarically will be :

Argon gas is adiabatically compressed to half of its volume. If P, V and T represent the pressure, volume and temperature of the gaseous system respectively, then the correct equation representing the process is

Important Questions on Thermodynamics

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Argon gas is adiabatically compressed to half of its volume. If $P,$ $V$ and $T$ represent the pressure, volume and temperature of the gaseous system respectively, then the correct equation representing the process is