Question

relation between cp and cv ?

Answer 1

qp= cp∆T..1
&qv=cv∆t...2
from first law of thermodynamics
∆u=q+w
∆u=q+p∆v...3
&we know that
qp=∆H...4
from equation 1&4
∆H=cp∆T
from equation 2&3
∆U=cv∆T
we know that ∆H= ∆u+∆nRT
∆H=∆U+R∆T( for 1mol)
cp∆T=cv∆T+R∆T
CP=cv +R
cp- cv=R