2. Let A = A(T, V) and G = differentials dA = -SdT – pdV and dG = –SdT+Vdp, where p, V , T, and S are, respectively, pressure, volume, temperature and entropy. G(T,p) be thermodynamic state functions with total |3D a) Use dA and suitable relationships between partial derivatives to show that Cy dS = T dT + (*)dv (2) || +), *=-(), and Cy = T),; as ƏT where a = T b) Use dG and suitable relationships between partial derivatives to show that dS CP dT – aVdp (3) where C, = T ). as ƏT
2. Let A = A(T, V) and G = differentials dA = -SdT – pdV and dG = –SdT+Vdp, where p, V , T, and S are, respectively, pressure, volume, temperature and entropy. G(T,p) be thermodynamic state functions with total |3D a) Use dA and suitable relationships between partial derivatives to show that Cy dS = T dT + (*)dv (2) || +), *=-(), and Cy = T),; as ƏT where a = T b) Use dG and suitable relationships between partial derivatives to show that dS CP dT – aVdp (3) where C, = T ). as ƏT
Related questions
Question
I need help with the problem. For 2a, I want to see the steps by using the chain rule. For 2b, I want to see the maxwell's relation.
Transcribed Image Text:2. Let A = A(T,V) and G = G(T,p) be thermodynamic state functions with total
differentials dA = -SdT – pdV and dG = -SdT + Vdp, where p, V, T, and S are,
respectively, pressure, volume, temperature and entropy.
a) Use dA and suitable relationships between partial derivatives to show that
ar + ()av
dS =
T
dV
(2)
+(#), K= ,
-), and Cy = T ()
where a
ƏT
b) Use dG and suitable relationships between partial derivatives to show that
dT – aVdp
T
(3)
dS =
-
where C, = T(OS
ƏT
as
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
