(a) A well-insulated hot water tank is used to supply hot water to a residential dwelling house. The immersion heating element inside the tank has a power rating of 2200 W and the tank contains 125 kg of water at 28.C. Calculate: i) the heat energy supplied by the heating element in 2 hours [2 mks] ii) the heat energy supplied to the water, given that its temperature increases to 58.C [2 mks] [specific heat capacity of water is 4200 Jkg K ] iii) the heat capacity of the tank, assuming that the tank and the water reach the same final temperature of 58'C and that some of the energy supplied by the heating element heats up the tank. [2 mks] (b) The hot water tank is situated at the back of a house and a bathroom is situated at the front of the same house. By the time the hot water reaches the bathroom it has dropped in temperature. Explain two ways in which the hot water has lost energy. [4 mks]