Answer in Physics for Viv #162977
Archie drops 200 g of ice into 2.0 kg of water at 20 degrees * C . He stirs the water until all the ice has melted. He measures the temperature of the 2.2 kg of water to be 11 degrees * C (Specific heat capacity of water 4200 J/kg °C)
There is no question in this problem, so let us find the initial temperature of ice and see whether it is enough for 200 g of ice to cool the water to 11°C.
Heat received by ice (heating to 0°C, melting, and heating from 0 to 11°С):
Heat transferred by water to ice:
In thermal equilibrium,
So, since ice cannot have the initial temperature of +1°C, 200 g of ice taken at 0°C would cool the water to a slightly lower temperature.