A closed, rigid tank fitted with a paddle wheel contains 0.1 kg of air, initially at 300K, 0.1 MPa. The paddle wheel stirs the air for 20 minutes, with the power input varying with time according to W

A closed, rigid tank fitted with a paddle wheel contains 0.1 kg of air, initially at 300K, 0.1 MPa. The paddle wheel stirs the air for 20 minutes, with the power input varying with time according to W(dot)= 10t , where W(dot) is in watts and t is time, in minutes. The final temperature of the air is 1060 K. Assuming ideal gas behavior and no change in kinetic or potential energy, determine for the air (a) the final pressure, in MPa, (b) the work, in kJ, and (c) the heat transfer, in kJ.

I got part a to be 0.353 MPa, however I cannot get b which will then find me c.

I feel like finding the work relates to using the w(dot)=10t and the 20 minutes, but i don't think that -200kJ is correct.

Thank you!!

(I chose physics, but this is really Thermodynamics)