An ideal gas is expanded from $\left(p_1, V_1, T_1\right)$ to $\left(p_2, V_2, T_2\right)$ under different conditions. The correct statement (s) among the following is (are)
Select ALL correct options:
A
The work done by the gas is less when it is expanded reversibly from $V_1$ to $V_2$ under adiabatic conditions as compared to that when expanded reversibly from $\mathrm{V}_1$ to $\mathrm{V}_2$ under isothermal conditions
B
The change in internal energy of the gas is (i) zero, if it is expanded reversibly with $T_1=T_2$, and (ii) positive, if it is expanded reversibly under adiabatic conditions with $T_1 \neq T_2$
C
If the expansion is carried out freely, it is simultaneously both isothermal as well as adiabatic
D
The work done on the gas is maximum when it is compressed irreversibly from $\left(\mathrm{p}_2, \mathrm{~V}_2\right)$ to $\left(p_1, V_1\right)$ against constant pressure $p_1$
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