Question

Match list I with list II and select the correct answer using the codes given below the lists:

List I	List II
A.${\left(\frac{\delta G}{\delta P}\right)}_T$	1. ${\mu }_H$
B.${\left(\frac{\delta G}{\delta T}\right)}_P$	2. $T$
C.${\left(\frac{\delta H}{\delta S}\right)}_P$	3. $-S$
D. ${\left(\frac{\delta T}{\delta P}\right)}_H$	4. $P$
	5. $V$

• A. $A-5,B-1,C-2,D-4$
• B. $A-5,B-3,C-2,D-4$
• C. $A-3,B-5,C-2,D-1$
• D. $A-5,B-3,C-2,D-1$

Answer 1

The correct option is D $A-5,B-3,C-2,D-1$

From thermodynamics $dG=VdP-SdT$
At constant $T,dT=0$ so that ${\left(\frac{\delta G}{\delta P}\right)}_T=V$
At cosntant $P,dP=0$ so that ${\left(\frac{\delta G}{\delta T}\right)}_P=-S$
Also ${\mu }_H={\left(\frac{\delta T}{\delta P}\right)}_H$