20.0 g of water at 75°C is added to a mixture of 50.0 g ice and 50.0 g water at 0°C in an insulated container. How much ice remains after the system reaches a steady temperature?
Expert Answer
Step I
Heat of fusion of ice = 334.166 J g-1
Heat gained by ice = 334.166 x 50 = 16708.3 J
Step II
Heat released by water at 75oC = 20 x 4.184 x 75 = 6276 J
Step III
Mass of ice will not be melted completely.
Q = m (delta H fusion)
6276 = m x 334.166
m = 18.78 g
Step IV
Hence, the amount of ice remained = 50 – 18 = 32 g