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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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Important Questions on Thermodynamics

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IMPORTANT

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

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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 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 :

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 38

The molar specific heat of oxygen at constant pressure

C_{P} = 7.03 cal {mol}^{- 1} ° C^{- 1}

and

R = 8.31 J {mol}^{- 1} ° C^{- 1}

. The amount of heat taken by

5 mol

of oxygen when heated at constant volume from

10 ° C

20 ° C

will be approximately

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 39

In an adiabatic process,

R = \frac{2}{3} C_{V}

. The pressure of the gas will be proportional to:

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 40

In an isobaric process,

Δ Q = \frac{K γ}{γ - 1}

where

γ = C_{p} / C_{V}

. What is

K ?

HARD

Physics

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 4 - Thermodynamics>Exercises>Q 41

Four moles of hydrogen, two moles of helium and one mole of water vapour form an ideal gas mixture. What is. the molar specific heat at constant pressure of mixture ?

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 T0. The gas is slowly heated so that its volume becomes four times the initial value. The work done by the gas is

Important Questions on Thermodynamics

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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