The work done during the expansion of $1 \ mol$ of an ideal gas into a vacuum is ............ .

Identify the correct statements from the following:
$I$) Work is a path function.
$II$) Enthalpy is an extensive property.
$III$) Lattice enthalpy of ionic compounds can be obtained from Born-Haber cycle.

Observe the following properties:
$I$. Molar volume
$II$. Mass
$III$. Internal energy
$IV$. Volume
$V$. Enthalpy
$VI$. Temperature
$VII$. Density
The intensive properties in the above list are:

For the reaction $N_{2(g)} + 3H_{2(g)} \to 2NH_{3(g)}$,the relationship between $\Delta H$ and $\Delta U$ is:

Find the work done on $2 \ mol$ of an ideal gas at $27^{\circ} C$ if it is compressed reversibly and isothermally from $5.05 \times 10^6 \ Nm^{-2}$ to $1.01 \times 10^5 \ Nm^{-2}$ pressure. (in $kJ$)

The heat $Q$ for a reaction at constant volume is equal to