An ideal gas with adiabatic exponent γ=1.5 undergoes a process in which work done by the gas is same as increase in internal energy of the gas. The molar heat capacity of gas for the process is –

1. C=4R

2. C=0

3. C=2R

4. C=R

Subtopic:  Types of Processes |
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The molar heat capacity for an ideal gas

1.  cannot be negative

2.  must be equal to either CV or CP

3.  must lie in the range CVCCP

4.  may have any value between - and +

Subtopic:  Molar Specific Heat |
 51%
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An ideal gas expands according to the law PV2 = const. The molar heat capacity C is : 

1. CV + R 

2. CV  R 

3. CV + 2R

4. CV  3R

Subtopic:  Molar Specific Heat |
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The molar heat capacity C for an ideal gas going through a given process is given by C = a/T , where 'a' is a constant. If  γ= CP/CV , the work done by one mole of gas during heating from T0 to η T0 through the given process will be:

1.  1a ln η

2.  a ln η- η-1γ-1 RT0

3.  a ln η-γ-A RT0

4.  none of these

Subtopic:  Molar Specific Heat |
 76%
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P-V diagram of a diatomic gas is straight line passing through origin. The molar heat capacity of the gas in the process will be

1. 4R

2. 2.5 R

3. 3R

4. 4R3

Subtopic:  Specific Heat |
 51%
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The pressure of a monoatomic gas increases linearly from 4×105 N/m2 to 8×105 N/m2 when its volume increases from 0.2 m3 to 0.5 m3. The molar heat capacity of the gas is:
[R = 8.31 J/mol k]  

1. 20.1 J/molK               

2. 17.14 J/molK

3. 18.14 J/molK                                   

4. 20.14 J/molK

Subtopic:  Molar Specific Heat |
 59%
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At ordinary temperatures, the molecules of a
diatomic gas have only translational and
rotational kinetic energies. At high
temperatures, they may also have vibrational
energy. As a result of this compared to lower
temperatures, a diatomic gas at higher
temperatures will have–

1. lower molar heat capacity.
2. higher molar heat capacity.
3. lower isothermal compressibility.
4. higher isothermal compressibility.

Subtopic:  Kinetic Energy of an Ideal Gas |
 72%
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Which of the following shows the correct relationship between the pressure 'P' and density ρ of an ideal gas at constant temperature?

(1) 

(2)

(3) 

(4)

Subtopic:  Ideal Gas Equation |
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During an adiabatic compression, 830 J of work is done on 2 moles of a diatomic ideal gas to reduce its volume by 50%. The change in its temperature is nearly:

(R=8.3 JK-1 mol-1)

1. 40 K

2. 33 K

3. 20 K

4. 14 K

Subtopic:  Work Done by a Gas |
 69%
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