Question

dH = TdS + Vdp eq.1 in a closed system of constant composition, and in no additional non-expansion work. Step 1 Derive an expression of $\left(\frac{\partial H}{\partial p}\right)_T$ using eq.1 Divide the both sides of eq.1 by , and impose the constraint of constraint . Then, we obtain $\left(\frac{\partial H}{\partial p}\right)_T$ = $= T \left(\frac{\partial S}{\partial p}\right)_T + V$ eq.2 Step 2 Apply a Maxwell relation to eq.2 Using a Maxwell relation of () = results in $\left(\frac{\partial H}{\partial p}\right)_T = -T \left(\frac{\partial V}{\partial T}\right)_p + V$ So, we have successfully expressed $\left(\frac{\partial H}{\partial p}\right)_T$ only with p, V, and T.

          dH = TdS + Vdp
eq.1
in a closed system of constant composition, and in no additional
non-expansion work.
Step 1 Derive an expression of $\left(\frac{\partial H}{\partial p}\right)_T$ using eq.1
Divide the both sides of eq.1 by , and impose the constraint
of constraint .
Then, we obtain
$\left(\frac{\partial H}{\partial p}\right)_T$ = 
$= T \left(\frac{\partial S}{\partial p}\right)_T + V$
eq.2
Step 2 Apply a Maxwell relation to eq.2
Using a Maxwell relation of
() = 
results in
$\left(\frac{\partial H}{\partial p}\right)_T = -T \left(\frac{\partial V}{\partial T}\right)_p + V$
So, we have successfully expressed $\left(\frac{\partial H}{\partial p}\right)_T$ only with p, V, and T.

dH = TdS + Vdp
eq.1
in a closed system of constant composition, and in no additional
non-expansion work.
Step 1 Derive an expression of ((∂ H)/(∂ p))T using eq.1
Divide the both sides of eq.1 by , and impose the constraint
of constraint .
Then, we obtain
((∂ H)/(∂ p))T =
= T ((∂ S)/(∂ p))T + V
eq.2
Step 2 Apply a Maxwell relation to eq.2
Using a Maxwell relation of
() =
results in
((∂ H)/(∂ p))T = -T ((∂ V)/(∂ T))p + V
So, we have successfully expressed ((∂ H)/(∂ p))T only with p, V, and T.

Added by Cassandra G.

Question

Please give Ace some feedback