$($c$)$ A room is maintained at $26C$ and $50$ R RII with $70$ recirculation. The outdoor condition

of $74C$ DBT and $28C$ WBT$.$ The cooling coil of the AC system handles mixed air at a rate

of $100\frac{m^{\text{'}}}{m}in.$ The coil AD P is $10C.$ If the coil bypass is $10\%,$ estimate the cooling load on

the coil and the supply air temperature for the conditioned space.