Maybe...
Anyway, I can solve this question now.
My next question is
Prove (∂C_p/∂P)_T = -T(∂^2V/∂T^2)_P
http://i35.photobucket.com/albums/d199/cowcow8866/scan001.png
I have done up to this step. How can I do the remaining part of this question??
There is another derived equation in my book and I have been used it to prove it. However, I still have another question.
Since there is a previous question ask me to show
(∂C_p/∂P)_T = -T(∂^2V/∂T^2)_P
I use this method stated below but I get stuck...
Homework Statement
Prove
(∂V/∂T)_s/(∂V/∂T)_p = 1/1-(gamma) (gamma = Cp/Cv)
Homework Equations
(∂V/∂T)_s = -C_v (kappa)/(beta)T (where beta = 1/V(∂V/∂T)_p, kappa = -1/V(∂V/∂P)_T
C_v= - T(∂P/∂T)_v(∂V/∂T)_s
The Attempt at a Solution
As part(a) ask me to find C_v, I do it similar for...
Actually, from the phase'1 liter of air', i am not quite sure about it is about the volume or number of moles. Moreover, when I think this question again, it is not free expansion as the sentence "The piston is released and reaches equilibrium in pressure and temperature at a new position."...
Homework Statement
A thermally insulated cylinder, closed at both ends, is fitted with a frictionless heat-conducting piston that divides the cylinder into two parts. Initially, the piston is clamped in the center with 1 liter of air at 300 K and 2 atm pressure on one side and 1 liter of air...
Homework Statement
In the tropics, the water near the surface is warmer than the deep water. Would an engine operates between these two surfaces violates the second law? Why?
Homework Equations
Clausius statement:
Heat generally cannot flow spontaneously from a material at lower...