Air is compressed from 100 kPa and 310 K to 1000 kPa in a two stage compressor

Question:

Air is compressed from 100 kPa and 310 K to 1000 kPa in a two stage compressor with intercooling between stages. The intercooler pressure is 350 kPa. The air is cooled back to 310 K in the intercooler before entering the second compressor stage. Each compressor stage is isentropic. Determine
(a) The temperature (T) at the exit of the second compressor stage and
(b) The total compressor work in kJ/kg. Use the PG model.