A square steel bar of side length w=0.23 m has a thermal conductivity of k=15.1 J/(s-m-C) and is L = 1.5 m long. One end is placed near a blowtorch so that the temperature is T-77 C while the other end rests on a block of ice so that the temperature is a constant T2- (a) Input an expression for the heat transferred to the cold end of the bar as a function of time, using A-w as the cross-sectional area of the bar. (b) How much energy, in joules, was conducted in 1 hour, assuming T=0 C? (c) Input an expression for the mass of the water melted in 1 hour using Q, from above and Ly the latent heat of fusion.