$13\mathrm{.}32$ Methane gas $($CH$4)$ at $25$C$,1$ atm and a volumetric flow rate of $27$ m$3/$h enters a heat$-$treating furnace operating at steady state. The methane burns completely with $140\%$ of theoretical air entering at $127$C$,1$ atm. Products of combustion exit at $427$C$,1$ atm. Determine

a$.$ the volumetric flow rate of the air, in m$3/$h$.$

b$.$ the rate of heat transfer from the furnace, in kJ$/$h$.$