Hydrogen behaves as an ideal gas at temperatures greater than 200 K and at pressures less than 50 atm. Suppose 6.00 mol hydrogen is initially contained in a 100-L vessel at a pressure of 2.00 atm. The average molar heat capacity of hydrogen at constant pressure, cP, is 29.3 J K21 mol 21 in the temperature range of this problem. The gas is cooled reversibly at constant pressure from its initial state to a volume of 50.0 L. Calculate the following quantities for this process. (a) Temperature of the gas in the final state, T2 (b) Work done on the gas, w, in joules (c) Internal energy change of the gas, DU, in joules (d) Heat absorbed by the gas, q, in joules