Dear student, Coefficient of Volume expansion,γ=1VdVdTPT2=constant (PV=nRT)(nRTV)T2=constant⇒dVdT=3nRT2γ=3nRT2V=3T(nRT2V=constant/T) Regards

How to do

Dear student,

C o e f f i c i e n t o f V o l u m e e x p a n s i o n, γ = \frac{1}{V} \frac{d V}{d T} P T^{2} = c o n s \tan t (P V = n R T) (\frac{n R T}{V}) T^{2} = c o n s \tan t \Rightarrow \frac{d V}{d T} = 3 n R T^{2} γ = \frac{3 n R T^{2}}{V} = \frac{3}{T} (\frac{n R T^{2}}{V} = c o n s \tan t / T)

Regards