A 0.60 kg sample of water and a sample of ice are placed in two compartments A and B separated by a conducting wall, in a thermally insulated container. The rate of heat transfer from the water to the ice through the conducting wall is constant P, until thermal equilibrium is reached. The temperature T of the liquid water and the ice are given in graph as functions of time t. Temperature of the compartments remain homogeneous during whole heat transfer process. Given specific heat of ice `=2100J//Kg-K` , specific heat of water `= 4200J//kg-K` and latent heat of fusion of ice `=3.3xx10^(5)J//kg`.

The initial mass of the ice in the container is equal to :

Options

A. `0.36 kg`
B. `1.2 kg`
C. `2.4 kg`
D. `3.6 kg`

Answer

C

Explanation

Sample of ice has been reciving heat at constant rate `P` from water. Its temperature has increased by `30^(@)C` in time `60min`.
Therefore `(m_(i)s_(i)DeltaT_(i))/(P) = 60 min`.
`rArr m = ((60 xx 60s)xx(42W))/((2100J//kg).(30^(@)C)) =2.4 kg`