In a heat conductivity experiment, a slab of silicon of thickness 2 x 10^-3m and area of 0.40m^2 seperates condensing steam(lv=540cal/g) at 100 degree C and melting ice(Lf=80cal/g) at 0degreeC. Once steady state conditions are achieved, 46g of ice are found to melt in one minute. Find the increase of entropy in the universe during one minute of this experiment. Please show all work