Identify the incorrect statements from the following.

I. For adiabatic process, $\Delta U=w_{\text {ad }}$

II. Enthalpy is an intensive property

III. For the process, $\mathrm{H}_2 \mathrm{O}(l) \rightarrow \mathrm{H}_2 \mathrm{O}(s)$, the entropy increases

The correct answer is

Enthalpy of formation of $\mathrm{CO}_2(\mathrm{~g}), \mathrm{H}_2 \mathrm{O}(\mathrm{l})$ and $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6(\mathrm{~s})$ are $-393,-286$ and $-1170 \mathrm{~kJ} \mathrm{~mol}^{-1}$ respectively. The quantity of heat liberated when 18 g of $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6(s)$ is burnt completely in oxygen is

The percentage of ionisation of 1 L of $x \mathrm{M}$ acetic acid is 4.242 and is called solution " $A$ ". The percentage of ionisation of 1 L of $y \mathrm{M}$ acetic acid is 3 and is called solution " $B$ ". Solution " $A$ " is mixed with solution " $B$ ". What is the concentration of acetic acid in the resultant solution? ( $K_{\mathrm{a}}$ of acetic acid $=1.8 \times 10^{-5}$ )

At 298 K , the value of $K_p$ for $\mathrm{N}_2 \mathrm{O}_4(g) \rightleftharpoons 2 \mathrm{NO}_2(g)$ is 0.113 atm . The partial pressure of $\mathrm{N}_2 \mathrm{O}_4$ at equilibrium is 0.2 atm . What is the partial pressure (in atm) of $\mathrm{NO}_2$ equilibrium?