# Work done by compressor to fill a tank

A reciprocating air compressor is used to fill rapidly a $$3m^3$$ tank at $$30°c$$ and $$1\ bar$$. The filing process is governed by $$pv^{1.4}=constant$$. The effects of kinetic energy may be neglected. The ratio of the final to initial mass of air in the tank is 4.

What is the work input to the compressor?