The figure shows the (P-V) diagram of an ideal gas undergoing a change of state from A to B. Four different paths I, II, III and IV, as shown in the figure, may lead to the same change of state.

 a. The change in internal energy is the same in cases IV and III but not in cases I and II. b. The change in internal energy is the same in all four cases. c. Work done is maximum in case I. d. Work done is minimum in case II.

Which of the following options contains only correct statements?

 1 (b), (c), (d) 2 (a), (d) 3 (b), (c) 4 (a), (c), (d)
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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A given mass of gas expands from state A to state B by three paths, 1, 2 and 3, as shown in the figure. If ${\mathrm{W}}_{1},$ ${\mathrm{W}}_{2}$ $\mathrm{and}$ ${\mathrm{W}}_{3}$ respectively be the work done by the gas along the three paths, then:

 1 W1 > W2 > W3 2 W1 < W2 < W3 3 W1 = W2 = W3 4 W1 < W2 = W3
Subtopic:  Work Done by a Gas |
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A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then:

 1 compressing the gas through an adiabatic process will require more work to be done. 2 compressing the gas isothermally or adiabatically will require the same amount of work to be done. 3 which of the case (whether compression through isothermal or through the adiabatic process) requires more work to be done will depend upon the atomicity of the gas. 4 compressing the gas isothermally will require more work to be done.

Subtopic:  Work Done by a Gas |
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NEET - 2016
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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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One mole of an ideal gas expands at a constant temperature of 300 K from an initial volume of 10 litres to a final volume of 20 litres. The work done in expanding the gas is equal to:
(R = 8.31 J/mole-K)

1. 750 joules

2. 1728 joules

3. 1500 joules

4. 3456 joules

Subtopic:  Work Done by a Gas |
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An ideal gas is compressed to half its initial volume by means of several processes. Which of the following processes results in the maximum work being done on the gas?
2. Isobaric
3. Isochoric
4. Isothermal

Subtopic:  Work Done by a Gas |
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NEET - 2015
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Two identical samples of a gas are allowed to expand, (i) isothermally and (ii) adiabatically. Work done will be:

 1 more in the isothermal process. 2 more in the adiabatic process. 3 equal in both processes. 4 none of the above.

Subtopic:  Work Done by a Gas |
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In an adiabatic process, the graph for work done versus change of temperature ∆T will be:

 1 2 3 4
Subtopic:  Work Done by a Gas |
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The pressure of a monoatomic gas increases linearly from $4×{10}^{5}$ N/m2 to $8×{10}^{5}$ N/m2 when its volume increases from 0.2 m3 to 0.5 m3. The work done by the gas is:

1.

2.

3.

4.

Subtopic:  Work Done by a Gas |
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