We consider a thermodynamic system. If ΔU represents the increase in its internal energy and W the work done by the system, which of the following statements is true ?

1. ΔU = –W in an adiabatic process

2. ΔU = W in an isothermal process

3. ΔU = –W in an isothermal process

4. ΔU = W in an adiabatic process

Concept Questions :-

Types of processes
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The volume of a gas is reduced adiabatically to $\frac{1}{4}$ of its volume at 27°C, if the value of γ = 1.4, then the new temperature will be -

(1) 350 × 40.4 K

(2) 300 × 40.4 K

(3) 150 × 40.4 K

(4) None of these

Concept Questions :-

Types of processes
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Difficulty Level:

For an adiabatic expansion of a perfect gas, the value of $\frac{\Delta P}{P}$ is equal to

(1) $-\sqrt{\gamma }\frac{\Delta V}{V}$

(2) $-\frac{\Delta V}{V}$

(3) $-\gamma \frac{\Delta V}{V}$

(4) $-{\gamma }^{2}\frac{\Delta V}{V}$

Concept Questions :-

Types of processes
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Difficulty Level:

A gas expands under constant pressure P from volume V1 toV2. The work done by the gas is

(1) $P\left({V}_{2}-{V}_{1}\right)$

(2) $P\left({V}_{1}-{V}_{2}\right)$

(3) $P\left({V}_{1}^{\gamma }-{V}_{2}^{\gamma }\right)$

(4) $P\frac{{V}_{1}{V}_{2}}{{V}_{2}-{V}_{1}}$

Concept Questions :-

Work done by gas
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When heat in given to a gas in an isobaric process, then

(1) The work is done by the gas

(2) Internal energy of the gas increases

(3) Both (1) and (2)

(4) None from (1) and (2)

Concept Questions :-

Types of processes
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Difficulty Level:

One mole of a perfect gas in a cylinder fitted with a piston has a pressure P, volume V and temperature 273 K. If the temperature is increased by 1 K keeping pressure constant, the increase in volume is

(1) $\frac{2V}{273}$

(2) $\frac{V}{91}$

(3) $\frac{V}{273}$

(4) V

Concept Questions :-

Types of processes
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Difficulty Level:

Unit mass of a liquid with volume V1 is completely changed into a gas of volume V2 at a constant external pressure P and temperature T. If the latent heat of evaporation for the given mass is L, then the increase in the internal energy of the system is -

(1) Zero

(2) $P\left({V}_{2}-{V}_{1}\right)$

(3) $L-P\left({V}_{2}-{V}_{1}\right)$

(4) L

Concept Questions :-

First law of thermodynamics
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Difficulty Level:

A gas expands 0.25m3 at constant pressure 103 N/m2, the work done is -

(1) 2.5 ergs

(2) 250 J

(3) 250 W

(4) 250 N

Concept Questions :-

Work done by gas
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Difficulty Level:

If 300 ml of a gas at 27°C is cooled to 7°C at constant pressure, then its final volume will be -

(1) 540 ml

(2) 350 ml

(3) 280 ml

(4) 135 ml

Concept Questions :-

Types of processes
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Difficulty Level:

Which of the following is correct in terms of increasing work done for the same initial volume and final volume ?

(1) Adiabatic < Isothermal < Isobaric

(2) Isobaric < Adiabatic < Isothermal

(3) Adiabatic < Isobaric < Isothermal

(4) None of these

Concept Questions :-

Work done by gas