$0.3 \mathrm{~g}$ of ethane undergoes combustion at $27^{\circ} \mathrm{C}$ in a bomb calorimeter. The temperature of calorimeter system (including the water) is found to rise by $0.5^{\circ} \mathrm{C}$. The heat evolved during combustion of ethane at constant pressure is ____________ $\mathrm{kJ} ~\mathrm{mol}{ }^{-1}$. (Nearest integer)

[Given : The heat capacity of the calorimeter system is $$20 \mathrm{~kJ} \mathrm{~K}^{-1}, \mathrm{R}=8.3 ~\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$$.

Assume ideal gas behaviour.

Atomic mass of $\mathrm{C}$ and $\mathrm{H}$ are 12 and $1 \mathrm{~g} \mathrm{~mol}^{-1}$ respectively]

At 298 K, the enthalpy of fusion of a solid (X) is 2.8 kJ mol$-$1 and the enthalpy of vaporisation of the liquid (X) is 98.2 kJ mol$-$1.…

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Assuming ideal behaviour, the magnitude of log K for the following reaction at 25$^\circ$C is x $\times$ 10$-$1. The value of x is…