Quiz

1.

In equation (2) we implicitly assumed $N=\mathit{const}$. If the number of particles changes, the correct expression for $R_{\min}$ should be:

(a)

$R_{\min} = \Delta E - T_0 \, \Delta S + P_0 \,\Delta V -\mu\,\Delta N$

(b)

$R_{\min} = \Delta E - T_0 \, \Delta S + P_0 \,\Delta V -N\,\Delta \mu$

(c)

$R_{\min} = \Delta E - T_0 \, \Delta S + P_0 \,\Delta V -\mu N$

(d)

$R_{\min} = \Delta E - T_0 \, \Delta S + P_0 \,\Delta V + \mu N$

2.

From the convexity condition follows (check all right statements):

(a)

$(\partial A/\partial N)_{T,V} \gt$

(b)

$(\partial^2 A/\partial N^2)_{T,V} \gt$

(c)

$(\partial^2 A/\partial N^2)_{T,V} <0$

(d)

$(\partial A/\partial T)_{N,V} \gt$

(e)

$(\partial^2 A/\partial T^2)_{N,V} \gt$

(f)

$(\partial^2 A/\partial T^2)_{N,V} <0$