Question $1[25$ Marks$]$

Moist air at $12C$ and $80\%$ R$.$H$.$ enters a duct at a rate of $150\frac{m^3}{m}in.$ The mixture is heated until it exits at $35C.$ The pressure remains constant at $100$ kPa $.$ Determine

$($a$)$ the pressure of the dry air at the inlet

$($b$)$ the mass of the dry air at the inlet

$($c$)$ the rate of heat transfer and

$($d$)$ the relative humidity at the exit.

$R_a=0\mathrm{.}287k\frac{J}{k}g.K$

$P_{\text{s}\text{a}\text{t}\text{@}12\text{d}\text{e}\text{g}\text{C}}=1\mathrm{.}402$kPa

Answer for Q$1$