Question
Physics Question on Thermodynamics
For a thermodynamic system, the coefficient of volume expansion β=V1(∂T∂V)P and compressibility K=−V1(∂P∂V)T , where V, T, and P are respectively the volume, temperature, and pressure. Considering that VdV is a perfect differential, we get
A
(∂P∂β)T=(∂T∂K)P
B
(∂T∂β)P=−(∂P∂K)T
C
(∂P∂β)T=−(∂T∂K)P
D
(∂T∂β)P=(∂P∂K)T
Answer
(∂P∂β)T=−(∂T∂K)P
Explanation
Solution
The correct option is (C) : (∂P∂β)T=−(∂T∂K)P.