Adiabatic free expansion of an ideal gas must be

An ideal gas expands isothermally from $10^{-3} \; m^{3}$ to $10^{-2} \; m^{3}$ at $300 \; K$ against a constant external pressure of $10^{5} \; Nm^{-2}$. The work done on the gas is:

$1 \text{ mole}$ of an ideal gas is compressed isothermally and reversibly from an initial pressure $x \text{ kPa}$ to a final pressure $2x \text{ kPa}$ at $300 \text{ K}$. Find the work done $(R = 8.314 \text{ J K}^{-1} \text{mol}^{-1})$. (in $\text{ J}$)

$A$ system is changed from state $A$ to state $B$ by one path and from $B$ to $A$ by another path. If $E_1$ and $E_2$ are the corresponding changes in internal energy,then:

One mole of a gas expands from $1 \, L$ to $5 \, L$ against a constant external pressure of $1 \, atm$. How much work is done in Joules (in $, J$)? $(1 \, L \cdot atm = 101.3 \, J)$

Heat exchanged in a chemical reaction at constant temperature and constant pressure is called as