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Oxygen gas is made to undergo a process in which its molar heat capacity $C$ depends on its absolute temperature $T$ as $C = α T$ . 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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Important Questions on Thermodynamics

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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

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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 ?

Oxygen gas is made to undergo a process in which its molar heat capacity $C$ depends on its absolute temperature T as C=αT. Work done by it when heated from an initial temperature T0 to a final temperature 2T0, will be

Important Questions on Thermodynamics

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Oxygen gas is made to undergo a process in which its molar heat capacity $C$ depends on its absolute temperature $T$ as $C = α T$ . Work done by it when heated from an initial temperature $T_{0}$ to a final temperature $2 T_{0}$ , will be