# 0.04 mole of an ideal monatomic gas is allowed to expand adiabatically so that its temperature changes from 800 K to 500 K. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 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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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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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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The pressure-temperature (P-T) graph for two processes, A and B, in a system is shown in the figure. If ${\mathrm{W}}_{1}$ and ${\mathrm{W}}_{2}$ are work done by the gas in process A and B respectively, then:

 1 $$W_{1}$$ = $$W_{2}$$ 2 $$W_{1}$$ < $$W_{2}$$ 3 $$W_{1}$$ > $$W_{2}$$ 4 $$W_{1}$$ =  $$-W_{2}$$
Subtopic:  Work Done by a Gas |
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An ideal gas goes from A to B via two processes, l and ll, as shown. If $∆{\mathrm{U}}_{1}$ and $∆{\mathrm{U}}_{2}$ are the changes in internal energies in processes I and II, respectively, then ($$P:$$ pressure, $$V:$$ volume)

 1 ∆U1 > ∆U2 2 ∆U1 < ∆U2 3 ∆U1 = ∆U2 4 ∆U1 ≤ ∆U2
Subtopic:  Molar Specific Heat |
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Work done during the given cycle is:

1. 4${P}_{0}{V}_{0}$

2. 2${P}_{0}{V}_{0}$

3. $\frac{1}{2}$${P}_{0}{V}_{0}$

4. ${P}_{0}{V}_{0}$

Subtopic:  Work Done by a Gas |
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The efficiency of an ideal heat engine is less than 100% because of:

 1 the presence of friction. 2 the leakage of heat energy. 3 unavailability of the sink at zero kelvin. 4 All of these

Subtopic:  Carnot Engine |
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The first law of thermodynamics is based on:

 1 the concept of temperature. 2 the concept of conservation of energy. 3 the concept of working of heat engine. 4 the concept of entropy.

Subtopic:  First Law of Thermodynamics |
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Find out the total heat given to diatomic gas in the process A$\to$B$\to$C : (B$\to$C is isothermal)

1. ${\mathrm{P}}_{0}{\mathrm{V}}_{0}+2{\mathrm{P}}_{0}{\mathrm{V}}_{0}$ $\mathrm{ln}2$

2. $\frac{1}{2}$${\mathrm{P}}_{0}{\mathrm{V}}_{0}+2{\mathrm{P}}_{0}{\mathrm{V}}_{0}\mathrm{ln}2$

3. $\frac{5}{2}$${\mathrm{P}}_{0}{\mathrm{V}}_{0}+2{\mathrm{P}}_{0}{\mathrm{V}}_{0}$ $\mathrm{ln}2$

4. 3${\mathrm{P}}_{0}{\mathrm{V}}_{0}+2{\mathrm{P}}_{0}{\mathrm{V}}_{0}$ $\mathrm{ln}2$

Subtopic:  First Law of Thermodynamics |
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