For adiabatic processes γ=CpCv 

(1) PγV = constant

(2) TγV = constant

(3) TVγ1 = constant

(4) TVγ = constant

Subtopic:  Types of Processes |
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An ideal gas is expanded adiabatically at an initial temperature of 300 K so that its volume is doubled. The final temperature of the hydrogen gas is (γ = 1.40)      [Given : 20.4 = 1.3 ]

(1) 227.36 K

(2) 500.30 K

(3) 454.76 K

(4) –47°C

Subtopic:  Types of Processes |
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In an adiabatic expansion of a gas, if the initial and final temperatures are \(T_1\) and \(T_2\), respectively, then the change in internal energy of the gas is:
1. \(\frac{nR}{\gamma-1}(T_2-T_1)\)
2. \(\frac{nR}{\gamma-1}(T_1-T_2)\)
3. \(nR ~(T_1-T_2)\)
4. Zero

Subtopic:  First Law of Thermodynamics |
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Helium at 27°C has a volume of 8 litres. It is suddenly compressed to a volume of 1 litre. The temperature of the gas will be [γ = 5/3] 

(1) 108°C

(2) 9327°C

(3) 1200°C

(4) 927°C

Subtopic:  Types of Processes |
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A cycle tyre bursts suddenly. This represents an 

(1) Isothermal process

(2) Isobaric process

(3) Isochoric process

(4) Adiabatic process

Subtopic:  Types of Processes |
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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 |
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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 |
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One mole of an ideal gas at an initial temperature of T K does 6R 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 the gas will be:

1. (T + 2.4)K

2. (T – 2.4)K

3. (T + 4)K

4. (T – 4)K

Subtopic:  Work Done by a Gas |
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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 |
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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 |
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