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 |
 74%
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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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A Carnot engine absorbs 1000 J of heat energy from a reservoir at 127°C and rejects 600 J of heat energy during each cycle. The efficiency of the engine and temperature of the sink will be:

1. 20% and-43°C

2. 40% and-33°C

3. 50% and-20°C

4. 70% and-10°C

Subtopic:  Heat Engine & Refrigerator (OLD NCERT) |
 90%
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One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, 27°C.The work done on the gas will be:

(1) 300R

(2) 300Rln6 

(3) 300Rln2

(4) 300Rln7

Subtopic:  Work Done by a Gas |
 86%
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Consider a spherical shell of radius R and temperature T. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volumeu=UVT4 and pressure P=13UV. If the shell now undergoes an adiabatic expansion, the relation between T and R is:

1. Te-3R

2. T1R

3. T1R3

4. Te-R

Subtopic:  Types of Processes |
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An ideal gas going through the reversible cycle abcd, has the V-T diagram as shown below in the figure. Process da and bc are adiabatic.

The corresponding P-V diagram for the process is (all figures are schematic and not drawn to scale):

1. 

2. 

3. 

4. 

Subtopic:  Types of Processes |
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200 g water is heated from 40°C to 60°C. Ignoring the slight expansion of water, the change in internal energy is close to (Given specific heat of water=4184 J/Kg K) :

1. 8.4 kJ

2. 4.2 kJ

3. 16.7 kJ

4. 167.4 kJ

Subtopic:  First Law of Thermodynamics |
 69%
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