Identify the correct equation relating $\Delta H, \Delta U$ and $\Delta T$ for 1 mole of an ideal gas from the following. ( $R=$ gas constant)

The number of extensive properties in the following list is enthalpy, density, volume, internal energy, temperature.

Identify the correct statements from the following. I. $\Delta_r G$ is zero for $A \rightleftharpoons B$ reaction. II. The entropy of pure crystalline solids approaches. zero as the temperature approaches absolute zero. III. $\Delta U$ of a reaction can be determined using bomb calorimeter.

Observe the following reactions.

$$ \begin{array}{ll} A B(g)+25 \mathrm{H}_2 \mathrm{O}(l) \longrightarrow\left(25 \mathrm{H}_2 \mathrm{O}\right) A B ; & \Delta H=x \mathrm{~kJ} \mathrm{~mol}^{-1} \\ A B(g)+50 \mathrm{H}_2 \mathrm{O}(l) \longrightarrow\left(50 \mathrm{H}_2 \mathrm{O}\right) A B ; & \Delta H=y \mathrm{~kJ} \mathrm{~mol}^{-1} \end{array} $$