4.10 The contents of the stirred-tank heating system shown in Figure E4.10 are heated at a constant rate of Q(Btu/h) using a gas-fired heater. The flow rate w(lb/h) and volume V(ft3) are constant, but the heat loss to the surroundings QL(Btu/h) varies with the wind velocity v(ft/s) according to the expressions QLU(t)=UA(TTa)=U+bv(t) where U,A,b, and Ta are constants. Derive the transfer function between exit temperature T and wind velocity v. List any additional assumptions that you make. Figure E4.10