# 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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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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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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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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$$0.04$$ 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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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 $$A\rightarrow B \rightarrow C$$: $$( B\rightarrow C$$ is isothermal)

1. $$P_0V_0+ 2P_0V_0\ln 2$$
2. $$\frac{1}{2}P_0V_0+ 2P_0V_0\ln 2$$
3. $$\frac{5}{2}P_0V_0+ 2P_0V_0\ln 2$$
4. $$3P_0V_0+ 2P_0V_0\ln 2$$

Subtopic:  First Law of Thermodynamics |
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