Question

derive the relationship between Cp nd Cv

Answer 1

Answer:

refer answer for picture.

Answer 2

What is the realation between CP and CV for an ideal gas?

Answer

We know that,

H = U + PV

by differentiating above equation with respect to temperature at constant pressure we get,

dH/dT = dU/dT + P dV/dT ————(1)

for one mole of gas,

PV = RT

differentiating this , temperature at constant pressure,we get

PdV/dT = R

dH/dT =Cp , dU/dT = Cv and PdV/dT=R hence equation (1) becomes.

Cp = Cv + R

Cp-Cv =R

this relation is known as Meyer’s relation