For complete combustion of methanol

${\mathrm{CH}}_3\mathrm{OH}\left(\mathrm{l}\right)+\frac{3}{2}{\mathrm{O}}_2\left(\mathrm{g}\right)\to {\mathrm{CO}}_2\left(\mathrm{g}\right)+2{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)$ the amount of heat produced as measured by bomb calorimeter is $726 \mathrm{kJ}{ \mathrm{mol}}^{-1}$ at $27 °\mathrm{C}$. The enthalpy of combustion for the reaction is $-\mathrm{x} \mathrm{kJ}{ \mathrm{mol}}^{-1}$, where $\mathrm{x}$ is
integer)
(Given : $\mathrm{R}=8.3{\mathrm{JK}}^{-1}{ \mathrm{mol}}^{-1}$)

Match List - I with List - II.

Choose the correct answer from the options given below

$2.2 \mathrm{g}$ of nitrous oxide $\left({\mathrm{N}}_2\mathrm{O}\right)$ gas is cooled at a constant pressure of $1$ atm from $310 \mathrm{K}$ to $270 \mathrm{K}$ causing the compression of the gas from $217.1 \mathrm{mL}$ to $167.75 \mathrm{mL}$. The change in internal energy of the process, $△\mathrm{U}$ is $\text{'}-\mathrm{x}\text{'}\mathrm{J}$. The value of $\text{'}x\text{'}$ is _____.

[nearest integer]

(Given: atomic mass of $\mathrm{N}=14 \mathrm{g}{ \mathrm{mol}}^{-1}$ and of $\mathrm{O}=16 \mathrm{g}{ \mathrm{mol}}^{-1}$. Molar heat capacity of ${\mathrm{N}}_2\mathrm{O}$ is $100 {\mathrm{JK}}^{-1}{ \mathrm{mol}}^{-1}$)

While performing a thermodynamics experiment, a student made the following observations, $\mathrm{HCl}+\mathrm{NaOH}\to \mathrm{NaCl}+{\mathrm{H}}_2\mathrm{O}\Delta \mathrm{H}=-57.3 \mathrm{kJ}{ \mathrm{mol}}^{-1}$

${\mathrm{CH}}_3\mathrm{COOH}+\mathrm{NaOH}\to {\mathrm{CH}}_3\mathrm{COONa}+{\mathrm{H}}_2\mathrm{O}$

$\mathrm{\Delta H}=-55.3 \mathrm{kJ}{ \mathrm{mol}}^{-1}$.

The enthalpy of ionization of ${\mathrm{CH}}_3\mathrm{COOH}$ as calculated by the student is $\mathrm{kJ} {\mathrm{mol}}^{-1}$.