Match List - I with List - II.
Given $V_1$ and $V_2$ are initial and final volumes respectively.
| List - I (Isothermal process) |
List - II (Expression) |
||
|---|---|---|---|
| A. | Reversible expansion | I. | $$ \mathrm{q}=0 $$ |
| B. | Free expansion | II. | $$ \mathrm{q}=\mathrm{nRT} \ln \frac{\mathrm{~V}_2}{\mathrm{~V}_1} $$ |
| C. | Irreversible Compression | III. | $$ \mathrm{w}=-\mathrm{p}_{\mathrm{ext}}\left(\mathrm{~V}_1-\mathrm{V}_2\right) $$ |
| D. | Cyclic reversible | IV. | $$ \frac{\mathrm{q}_{\mathrm{rev}}}{\mathrm{~T}}=0 $$ |
Choose the correct answer from the options given below :
Arrange the following isothermal processes in order of the magnitude of the work $(\mathrm{p}-\mathrm{V})$ involved between states 1 and 2.
A. Expansion in single stage $\mathrm{w}_{\mathrm{A}}$
B. Expansion in multi stages $w_B$
C. Compression in single stage $\mathrm{w}_{\mathrm{C}}$
D. Compression in multi stages $w_D$
Choose the correct option.
Consider the following data for the reaction
$$ X_2(g)+Y_2(g) \rightleftharpoons 2 X Y(g) $$
at $600 \mathrm{~K}^{\circ}$. The $\Delta_{\mathrm{r}} \mathrm{G}^{\ominus}$ (in $\mathrm{kJ} \mathrm{mol}^{-1}$ ) for the reaction is :
$$ \begin{array}{|c|c|c|} \hline \text { Compound } & \Delta_f \mathrm{H}_{600 \mathrm{~K}}^{\ominus}\left(\mathrm{kJ} \mathrm{~mol}^{-1}\right) & \mathrm{S}^{\ominus}{ }_{600 \mathrm{~K}}\left(\mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right) \\ \hline \mathrm{XY}(\mathrm{~g}) & 42 & 200 \\ \hline \mathrm{X}_2(\mathrm{~g}) & 8 & 140 \\ \hline \mathrm{Y}_2(\mathrm{~g}) & 80 & 250 \\ \hline \end{array} $$
The correct order of molar heat capacities measured at 298 K and 1 bar is :
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