A two-section container which is composed of air (subscript a) and H₂ (subscript H) is separated by a movable adiabatic piston. The initial data are Va = 1 m³, Ta = 25 C, Pa = 0.15 MPa, PH = 0.15 MPa, and MH = 0.10 kg. There is a total heat transfer of 80 kJ to the air resulting in a final air temperature of Ta = 45 C. Find the temperature increase in the H₂ and the work done on or by the H₂. Assume both gases to be ideal and for hydrogen, assume the cv value to be constant where cV,H = 10.19 kJ/kg-K.