One mole of helium is adiabatically expanded from its initial state (Pi,Vi,Ti) to its final state (Pf,Vf,Tf). The decrease in the internal energy associated with this expansion is equal to

(1) CV(TiTf)

(2) CP(TiTf)

(3) 12(CP+CV)(TiTf)

(4) (CPCV)(TiTf)

Subtopic:  Types of Processes |
 69%
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A diatomic gas initially at 18°C is compressed adiabatically to one-eighth of its original volume. The temperature after compression will be 

(1) 10°C

(2) 887°C

(3) 668 K

(4) 144°C

Subtopic:  Types of Processes |
 58%
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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio Cp/Cv for the gas is 

(1) 32

(2) 43

(3) 2

(4) 53

Subtopic:  Types of Processes | Molar Specific Heat |
 70%
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One mole of an ideal gas at an initial temperature of T K does 6 R joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, the final temperature of gas will be -

(1) (T + 2.4)K

(2) (T – 2.4)K

(3) (T + 4)K

(4) (T – 4)K

Subtopic:  Types of Processes |
 54%
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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

Subtopic:  Types of Processes |
 85%
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The volume of a gas is reduced adiabatically to 14 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

Subtopic:  Types of Processes |
 92%
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For an adiabatic expansion of a perfect gas, the value of ΔPP is equal to 

(1) γΔVV

(2) ΔVV

(3) γΔVV

(4) γ2ΔVV

Subtopic:  Types of Processes |
 91%
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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) 2V273

(2) V91

(3) V273

(4) V

Subtopic:  Types of Processes |
 76%
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A 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(V2V1)
3. LP(V2V1)
4.  L

Subtopic:  First Law of Thermodynamics |
 63%
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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

Subtopic:  Types of Processes |
 90%
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