# The variation of molar heat capacity at constant volume ${\mathrm{C}}_{\mathrm{V}}$ with temperature T for a monatomic gas is: 1. 2. 3. 4.

Subtopic:  Molar Specific Heat |
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When a system is moved from state a to state b along the path acb, it is discovered that the system absorbs 200 J of heat and performs 80 J of work.  Along the path adb, heat absorbed Q = 144 J. The work done along the path adb is:

 1 6 J 2 12 J 3 18 J 4 24 J
Subtopic:  First Law of Thermodynamics |
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Heat is supplied to a diatomic gas in an isochoric process. The ratio $$\Delta Q:\Delta U$$ is: (symbols have usual meanings)
1. $$5:3$$
2. $$5:2$$
3. $$1:1$$
4. $$5:7$$

Subtopic:  First Law of Thermodynamics |
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In the cyclic process shown in the pressure-volume $$(P-V)$$ diagram, the change in internal energy is equal to:

1. $\pi {\left(\frac{{\mathrm{P}}_{2}-{\mathrm{P}}_{1}}{2}\right)}^{2}$

2. $\mathrm{\pi }{\left(\frac{{\mathrm{V}}_{2}-{\mathrm{V}}_{1}}{2}\right)}^{2}$

3. $\frac{\mathrm{\pi }}{4}\left({\mathrm{P}}_{2}-{\mathrm{P}}_{1}\right)\left({\mathrm{V}}_{2}-{\mathrm{V}}_{1}\right)$

4. zero

Subtopic:  Cyclic Process |
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The work done by an ideal diatomic gas in its sudden expansion is $$20~\text{J}$$. The change in the internal energy of the gas will be:
1. $$20~\text{J}$$
2. $$0~\text{J}$$
3. $$-20~\text{J}$$
4. $$-15~\text{J}$$

Subtopic:  First Law of Thermodynamics |
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A heat engine is working between 200 K and 400 K. The efficiency of the heat engine may be:

1. 20%

2. 40%

3. 50%

4. All of these

Subtopic:  Carnot Engine |
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If an ideal gas undergoes two processes at constant volumes $$V_1~\text{and}~V_2$$ as shown in the pressure-temperature $$(P\text-T)$$ diagram, then:

1. $$V_1= V_2$$
2. $$V_1> V_2$$
3. $$V_1< V_2$$
4. $$V_1\ge V_2$$

Subtopic:  Types of Processes |
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The internal energy of an ideal gas increases in:

3. Isothermal expansion

4. Isothermal compression

Subtopic:  First Law of Thermodynamics |
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$$0.04$$ mole of an ideal monatomic gas is allowed to expand adiabatically so that its temperature changes from $$800~\text{K}$$ to $$500~\text{K}$$. The work done during expansion is nearly equal to:

 1 $$129.6$$ J 2 $$-129.6$$ J 3 $$149.6$$ J 4 $$-149.6$$ J
Subtopic:  Work Done by a Gas |
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Which of the following is true for the molar heat capacity of an ideal gas?

 1 It cannot be negative. 2 It has only two values $$\left(C_P \text { and } C_V\right)$$. 3 It can have any value. 4 It cannot be zero.

Subtopic:  Molar Specific Heat |
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