For the process $CO_{2(s)} \rightarrow CO_{2(g)}$,which of the following is true?

$A$ perfect gas $(0.1 \ mol)$ having $\overline{C}_{v}=1.50 \ R$ (independent of temperature) undergoes the transformation shown in the graph from point $1$ to point $4$. If each step is reversible,the total work done $(w)$ while going from point $1$ to point $4$ is $(-)$ . . . . . . $J$ (nearest integer). [Given: $R=0.082 \ L \ atm \ K^{-1} \ mol^{-1}$,$1 \ L \ atm = 101.3 \ J$]

Which of the following is an extensive property?

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures $T_1$ and $T_2$ $(T_1 < T_2)$. The correct graphical depiction of the dependence of work done $(|w|)$ on the final volume $(\ln V)$ is:

For a reversible process at $T = 300 \, K$,the volume increases from $V_i = 1 \, L$ to $V_f = 10 \, L$. If the process is isothermal,find the value of $\Delta H$ in $kJ$.

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 $(P_{ext} = 0)$?