One mole of an ideal gas at $25\,^{\circ}C$ expands its volume from $1\,L$ to $4\,L$ at constant temperature. What work (in $J$) is done if the gas expands against a vacuum $(P_{ext} = 0)$?

Out of boiling point $(I)$,entropy $(II)$,$pH$ $(III)$ and $emf$ of a cell $(IV)$,intensive properties are

Which from the following defines enthalpy of a system?

When an ideal gas expands isothermally from $5 \ m^3$ to $10 \ m^3$ at $25 \ ^{\circ}C$ against a constant pressure of $10^7 \ N \cdot m^{-2}$,then the work done on the gas is (in $MJ$)

The relation between $\Delta E$ and $\Delta H$ is

$A$ $5 \, L$ cylinder contains $10 \, mol$ of $O_2$ gas at $27 \, ^\circ C$. Due to a leak,the gas escapes into the atmosphere until the pressure inside the cylinder equals the atmospheric pressure $(1.0 \, atm)$. What is the work done by the gas?