# <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> The work done by an ideal diatomic gas in its sudden expansion is 20 J. The change in the internal energy of the gas will be: 1. 20 J 2. 0 J 3. $-20$ J 4. $-15$ 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 ${\mathrm{V}}_{1}$ $\mathrm{and}$ ${\mathrm{V}}_{2}$ as shown in the pressure-temperature (P-T) diagram, then:

1. ${\mathrm{V}}_{1}$ = ${\mathrm{V}}_{2}$

2. ${\mathrm{V}}_{1}$ > ${\mathrm{V}}_{2}$

3. ${\mathrm{V}}_{1}$ < ${\mathrm{V}}_{2}$

4. ${\mathrm{V}}_{1}\ge {\mathrm{V}}_{2}$

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 K to 500 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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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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Heat is supplied to a diatomic gas in an isochoric process. The ratio $∆\mathrm{Q}: ∆\mathrm{U}$ 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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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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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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