An deal gas is expandedsuchthatpT^(2)=a constant findthe coefficientof volumeexpansion ofthe gas

An deal gas is expandedsuchthatpT^(2)=a constant findthe coefficientof

1.	An deal gas is expandedsuchthatpT^(2)=a constant findthe coefficientof volumeexpansion ofthe gas
Answer» SOLUTION :fromidealgas equation pV = nRT(or )`r= ( nRT)/(V )` Asgasexpandssuchthat `pT^(2)` = a constant =C so `((n RT)/(V ))T^(2)= C ` (or )` T^(3)alpha V` (or)`T^(3) = KV` differentiatingit w.r.t. T wehave `3T^(2) = k (dV)/(dT )` Dividingit by `T^(3)= kV ` `(3)/(T)= (1)/(V ). (dV)/(dT )` coefficientof volumeexpansion `r = (1)/(V ). (d V)/(dT )= (3)/(T )`