A house is maintained at $1$ atm and $25C,$ 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 $9C$ 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$*$m$^3/$kg$*$K$.$

Assume constant specific heats $($Table A$-2)$ and give your answer in kW$.$

Hint: I would start by using the ideal gas relation to find the density of the air at one atmosphere of pressure.