Match the following:

                                     
Codes

The pressure-volume work for an ideal gas can be calculated by using the expression $\mathrm{W}={\int }_{{\mathrm{V}}_{\mathrm{i}}}^{{\mathrm{V}}_{\mathrm{f}}}{\mathrm{p}}_{\mathrm{ex}}d\mathrm{V}$. The work can also be calculated from the pV-plot by using the area under the curve within the specified limits. An ideal gas is compressed (a) reversibly or (b) irreversibly from volume ${\mathrm{V}}_{\mathrm{i}}$ to ${\mathrm{V}}_{\mathrm{f}}$. The correct option is -

1.  $\mathrm{W} \left(\mathrm{reversible}\right)=\mathrm{W} \left(\mathrm{irreversible}\right)$

2.  $\mathrm{W} \left(\mathrm{reversible}\right)<\mathrm{W}\hspace{0.17em}\left(\mathrm{irreversible}\right)$

3.  $\mathrm{W} (\mathrm{reversible})>\mathrm{W} (\mathrm{irreversible})$

4.  $\mathrm{W} \left(\mathrm{reversible}\right)=\mathrm{W} \left(\mathrm{irreversible}\right)+{\mathrm{p}}_{\mathrm{ex}}.∆\mathrm{V}$

A sample containing 1.0 mol of an ideal gas is expanded isothermally and reversible to ten times of its original volume in two separate experiments. The expansion is carried out at 300 K and at 600 K respectively. 

The correct statements among the following are-

(a) Work done at 600 K is 20 times the work done at 300 K

(b) Work done at 300 K is twice the work done at 600 K

(c) Work done at 600 K is twice the work done at 300 K

(d) $∆\mathrm{U}=0$ in both cases

1. (a, b)

2. (b, c)

3. (c, d)

4. (a, d)

$$\begin{gathered} 2\mathrm{Zn}\left(\mathrm{s}\right)+{\mathrm{O}}_2\left(\mathrm{g}\right)\to 2\mathrm{ZnO}\left(\mathrm{s}\right); \\ ∆\mathrm{H}=-693.8 \mathrm{kJ} {\mathrm{mol}}^{-1} \end{gathered}$$

The correct statements among the following are-

(a) The enthalpy of two moles of ZnO is less than the total enthalpy of two moles of Zn and one mole of oxygen by 693.8 kJ

(b) The enthalpy of two moles of ZnO is more than the total enthalpy of two moles of Zn and one mole of oxygen by 693.8 kJ

(c) $693.8 \mathrm{kJ} {\mathrm{mol}}^{-1}$ energy is evolved in the reaction

(d) $693.8 \mathrm{kJ} {\mathrm{mol}}^{-1}$ energy is absorbed in the reaction

1. (a, b)

2. (b, c)

3. (c, d)

4. (a, c)