I need fu$$l mathmatical solutionEstimate the specific enthalpy of ethyl alcohol vapor at $1$ bar and $200C$ taking the reference at $0C$

The boiling point $74\mathrm{.}8C$ & latent heat of vaporization $9\mathrm{.}22$kca$\frac{l}{m}ol$

The vapor heat capacity is given by $)=(14\mathrm{.}66+3\mathrm{.}758{10}^{-2}(T)$

The liquid heat capacity equals $)=(24\mathrm{.}65+0\mathrm{.}133(T)$

a$)13\mathrm{.}9$kca$\frac{l}{m}ol$

b$)15\mathrm{.}73$kca$\frac{l}{m}ol$

c$)25\mathrm{.}73$kca$\frac{l}{m}ol$

$hat(A)={\displaystyle \underset{T_1}{\overset{T_2}{}}}{C}_p(T)dT$

d$)35\mathrm{.}75$kca$\frac{l}{m}ol$