a) `therefore dH=Pdt` `therefore C_(p) = (Pdt)/(dT) = (P/(dT)/(dt))`
Here, `T=at^(1/4)` or `T/a = t^(1/4)` `therefore t=(T^(4)/a^(4))`
`therefore (dT)/(dt) = a/4(T/a)^(-3) = a/4(T/a)^(-3) = (a^(4))/(4T^(3)) rArr C_(p) = (P)/(dT)/(dt)` = `(4PT^(3))/(a^(4))`