Useful constants: R=0.08206 L atm mol‍¹ K-1 = 8.314 J mol¹ K-1 ; 1 L atm 101.3 J 1. 1 mole of monoatomic ideal gas is initially at T = 300 K and V = 10 L. Calculate w, q, AU and AH for the following cases. a) Reversible isothermal expansion to a final volume of 20 L. b) Isothermal expansion against a constant external pressure pex = 1 bar to a final volume of 20 L. c) Adiabatic expansion against a constant external pressure pex = 1 bar to a final volume of 20 L. d) Constant pressure expansion to a final volume of 20 L, with the system in contact with a heat reservoir which remains at a constant temperature T'=1000 K. e) Gas is heated reversibly at constant volume from 300 K to 1000 K.