At $25 °\mathrm{C}$ and $1$ atm pressure, the enthalpies of combustion are as given below:

Substance	${\mathrm{H}}_2$	$\mathrm{C}$ (graphite)	${\mathrm{C}}_2{\mathrm{H}}_6\left(\mathrm{g}\right)$
$\frac{{\mathrm{\Delta }}_{\mathrm{c}}{\mathrm{H}}^{\mathrm{\Theta }}}{{\mathrm{kJmol}}^{-1}}$	$-286.0$	$-394.0$	$-1560.0$

The enthalpy of formation of ethane is

$40\%$ of $\mathrm{HI}$ undergoes decomposition to ${\mathrm{H}}_2$ and ${\mathrm{I}}_2$ at $300 \mathrm{K}.{\mathrm{\Delta G}}^{\mathrm{\Theta }}$ for this decompostion reaction at one atmopsphere pressure is____${\mathrm{Jmol}}^{-1}$-[nearest integer]

$\left(\mathrm{Use} \mathrm{R}=8.31{\mathrm{JK}}^{-1}{ \mathrm{mol}}^{-1};\log 2=0.3010,\ln 10=2.3,\log 3=0.477\right)$

Match List - I with List - II.

Choose the correct answer from the options given below

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 $\mathrm{kJ} {\mathrm{mol}}^{-1}$.