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.
               

Which of the following options contains only correct statements?

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. $P_0{V}_0$

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

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:

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:

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. ${\mathrm{W}}_1$ = - ${\mathrm{W}}_2$

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?
1. Adiabatic
2. Isobaric
3. Isochoric
4. Isothermal

The pressure of a monoatomic gas increases linearly from $4\times {10}^5$ N/m² to $8\times {10}^5$ N/m² when its volume increases from 0.2 m³ to 0.5 m³. The work done by the gas is:

1. $2.8\times {10}^5 \mathrm{J}$

2. $1.8\times {10}^6 \mathrm{J}$

3. $1.8\times {10}^5 \mathrm{J}$

4. $1.8\times {10}^2 \mathrm{J}$

In an adiabatic process, the graph for work done versus change of temperature ∆T will be:

1.		2.
3.		4.

Two identical samples of a gas are allowed to expand, (i) isothermally and (ii) adiabatically. Work done will be: