3.) Match the following expressions for the heat transferred to the system during the process described in question 2 with the conditions.

a.) Constant pressure	$\gamma$) $$-\frac 5 2 P_1(V_1-V_2)$$
b.) Constant volume	$\delta$) $$\frac 3 2 n R(T_2-T_1)$$
c.) Constant temperature	$\beta$) $$-n R T_1 \ln\left(\frac{V_1}{V_2}\right)$$
d.) Constant entropy	$\alpha$) 0

Comments:
a.) Constant pressure so $Q=C_{\scriptscriptstyle P}\Delta T$; use $C_{\scriptscriptstyle P}=C_{\scriptscriptstyle V}+R=5nR/2$ and $T=PV/nR$
b.) Constant volume so $Q=C_{\scriptscriptstyle V}\Delta T$
c.) Constant temperature so $\Delta E=0$ and $Q=-W$.
d.) Constant entropy means no heat flow.

Score 1 point for each correct answer