# Which of the following graph shows the variation of pressure P with volume V for an ideal gas at a constant temperature? 1. 2. 3. 4.

Subtopic:  Types of Processes |
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A gas performs the minimum work when it expands:

 1 Isochorically 2 Isobarically 3 Adiabatically 4 Isothermally
Subtopic:  Types of Processes |
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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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An ideal monoatomic gas $$\left(\gamma = \frac{5}{3}\right )$$ absorbs 50 cal in an isochoric process. The increase in internal energy of the gas is:

 1 20 cal 2 Zero 3 50 cal 4 30 cal
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. ${\mathrm{W}}_{1}$ = ${\mathrm{W}}_{2}$

2. ${\mathrm{W}}_{1}$ < ${\mathrm{W}}_{2}$

3. ${\mathrm{W}}_{1}$ > ${\mathrm{W}}_{2}$

4. ${\mathrm{W}}_{1}$ = - ${\mathrm{W}}_{2}$

Subtopic:  Work Done by a Gas |
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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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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 $∆\mathrm{Q}: ∆\mathrm{U}$ 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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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 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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