In a two stage, single acting compressor, $4\mathrm{.}5$ kg of air per minute are compressed from $101\mathrm{.}3$ kPa and $15\backslash$deg C through a pressure ratio of $9$:$1.$ Both stages have the same pressure ratio, and the law of compression and expansion in both stages is PV$1\mathrm{.}3=$ constant. If intercooling is complete, determine the rate of heat loss to the intercooler circulating water.