A square steel bar of side length w = 0.13 m has a thermal conductivity of k = 14 J/(s?m??C) and is L = 2.8 m long. Once end is placed under a candle so that the temperature is T1 = 75? C while the other end rests on a block of ice so that the temperature is a constant T2. 1) Input an expression for the heat transferred to the cold end of the bar as a function of time, using A = w2 as the cross-sectional area of the bar. 2) How much energy, in joules, was conducted in 1 hour, assuming T2 = 0? C? 3) Input an expression for the mass of the water melted in 1 hour using Q1 from above and Lf the latent heat of fusion.