One end of a uniform metal rod of length 100 ~cm is placed in ice and the other end is placed in boiling water. A point of the rod which is at a distance of 60 ~cm from the ice end is maintained at a constant temperature of 325^ C . If 2 ~g of water is converted into steam per second, the mass of ice melted per second in steady state is (Latent heat of steam =6.75 times latent heat of fusion of ice)