Two moles of an ideal gas expand spontaneously into a vacuum. The work done is ............. $Joule$.

$A$ gas absorbs a certain amount of heat and expands by $200 \ cm^3$ against a constant external pressure of $2 \times 10^5 \ Nm^{-2}$. What is the work done by the system (in $J$)?

Work done during isothermal expansion of $1 \, \text{mole}$ of an ideal gas from $10 \, \text{atm}$ to $1 \, \text{atm}$ at $300 \, \text{K}$ is ....... $\text{cal}$ (Gas constant $R = 2 \, \text{cal} \, \text{K}^{-1} \, \text{mol}^{-1}$) (in $.8$)

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

Which of the following expressions is true for an ideal gas?

Which of the following thermodynamic relations is correct?