Question $2[25$ Marks$]$

An air conditioning system operates at a total pressure of $1$ atm consists of a heating section and humidifier which supplies wet steam $($saturated water vapor$)$ at $1$ atm $.$ Air enters the heating section at $15C$ and $75\%$ R$.$H$.$ at $60\frac{m^3}{m}in,$ and it leaves the humidifying section at $24C$ and $55\%$ R$.$H$.$ Determine:

$($a$)$ the mass flowrate of water added to the air in the humidifying section, in $k\frac{g}{m}in$

$($b$)$ the rate of heat transfer in the heating section, in $k\frac{J}{m}in$

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

$P_{\text{s}\text{a}\text{t}\text{@}15\text{d}\text{e}\text{g}}=1\mathrm{.}7013$kPa

$P_{\text{s}\text{a}\text{t}\text{@}24\text{d}\text{e}\text{g}C}=2\mathrm{.}9850$kPa

Answer for Q$2$