ΔUAB=qAB+WAB=2+(−5)=−3 kJ/mol ΔUBC=−5 kJ/mol For cyclic process, ΔU=0 $\begin{aligned}
&\Delta \mathrm{U}{\mathrm{AB}}+\Delta \mathrm{U}{\mathrm{BC}}+\Delta \mathrm{U}{\mathrm{CA}}=0 \
&\Delta \mathrm{U}{\mathrm{CA}}=-\Delta \mathrm{U}{\mathrm{AB}}-\Delta \mathrm{U}{\mathrm{BC}} \
&\Delta \mathrm{U}{\mathrm{CA}}=-(-3)-(-5)=8 \mathrm{~kJ} / \mathrm{mol} \
&\Delta \mathrm{U}{\mathrm{CA}}=\mathrm{q}{\mathrm{CA}}+\mathrm{W}{\mathrm{CA}} \
&8=\mathrm{q}{\mathrm{CA}}+3 \
&\mathrm{q}{\mathrm{CA}}=+5 \mathrm{~kJ} / \mathrm{mol}
\end{aligned}$ Heat absorbed has positive sign.
