A gas expands in volume from $2\mathrm{L}$ to $5\mathrm{L}$ against a pressure of $1$ atm at constant temperature. The work done by the gas will be

For which of the following systems, the difference between $\mathrm{\Delta H}$ and $\mathrm{\Delta U}$ is not significant?

(i) Solids

(ii) Gases

(iii) Mixture of gases and liquids

(iv) Liquids

$\mathrm{A}$ fish swimming in water body when taken out from the water body is covered with a film of water of weight $36 \mathrm{g}$. When it is subjected to cooking at $100 °\mathrm{C}$, then the internal energy for vaporization in ${\mathrm{kJmol}}^{-1}$ is integer]

[Assume steam to be an ideal gas. Given ${\mathrm{\Delta }}_{\mathrm{vap}}{\mathrm{H}}^{\ominus }$ for water at $373 \mathrm{K}$ and $1$ bar is $41.1 \mathrm{kJ}{ \mathrm{mol}}^{-1}:\mathrm{R}=8.31 \mathrm{J}{ \mathrm{K}}^{-1}{ \mathrm{mol}}^{-1}$]

Calculate the work done in the following reaction at $50°\mathrm{C}$. State whether work is done on the system or by the system.

${\mathrm{SO}}_{2\left(\mathrm{g}\right)}+\frac{1}{2}{\mathrm{O}}_{2\left(\mathrm{g}\right)}\to {\mathrm{SO}}_{3\left(\mathrm{g}\right)}$

The combination of plots which does not represent isothermal expansion of an ideal gas is

$\left(\mathrm{A}\right)$

$\left(\mathrm{B}\right)$

$\left(\mathrm{C}\right)$

$\left(\mathrm{D}\right)$

The internal energy change (in $\mathrm{J}$) when $90 \mathrm{g}$ of water undergoes complete evaporation at $100°\mathrm{C}$ is ..............

(Given : ${\mathrm{\Delta H}}_{\mathrm{vap}}$ for water at $373 \mathrm{K}=41 \mathrm{kJ}/\mathrm{mol}$, $\mathrm{R}=8.314 {\mathrm{JK}}^{-1} {\mathrm{mol}}^{-1}$)