Q$3(10$ points$)$: A house is maintained at $1$ atm and $24C,$ and warm air inside a house is forced to leave the house at a rate of $150\frac{m^3}{h}$ as a result of outdoor air at $6C$ infiltrating into the house through the cracks. Determine the rate of net energy loss of the house due to mass transfer.

The gas constant of air is $R=0\mathrm{.}287$kPa$*\frac{m^3}{k}g*K.$ The constant pressure specific heat of air at room temperature is $c_p=1\mathrm{.}005k\frac{J}{k}g*C.$