Question

A reversible cyclic process for an ideal gas is shown below. Here, $P, V,$ and $T$ are pressure, volume and temperature, respectively. The thermodynamic parameters $q, w, H$ and $U$ are heat, work, enthalpy and internal energy, respectively.
The correct option(s) is (are)

• A. $q_{A C}=\Delta U_{B C}$ and $W_{A B}=P_{2}\left(V_{2}-V_{1}\right)$
• B. $W _{ BC }= P _{2}\left( V _{2}- V _{1}\right)$ and $H _{ BC }=\Delta H _{ AC }$
• C. $\Delta H_{C A}<\Delta U_{C A}$ and $q_{A C}=\Delta U_{B C}$
• D. $q_{B C}=\Delta H_{A C}$ and $\Delta H_{C A}>\Delta U_{C A}$

Answer 1

Answer: (B), (C)

$AC-$ Isochoric
$W =\Delta u = n C _{ v }\left( T _{2}- T _{1}\right)$
$q = OAB -$ Isothermal
$W =-2.303 RT \log \frac{ V _{2}}{ V _{1}}$
$q =- WBC -$ Isobaric;
$W =- p \Delta V =- n R \left( T _{2}- T _{1}\right)$