2. An energy system for a home can be approximated to simply show the interactions with its environment including cold air in and hot air out, heat transfer inflow, and power input. a. Write a first law balance around the system and solve for the rate of thermal energy input into the system at 295 K. b. Write a second law balance around the system and determine the rate of entropy production. c. Determine the exergy destruction rate, assume To = 295 K. Mdot,air 0.83 kg/s, T = 295 K Qdot,in = ? Tb = 275 K = Mdot,air 0.83 kg/s T = 325 K Wdot,in = 7 kW