A 0.60 kg sample of water and a sample of ice are placed in two compartmetnts 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 `=2100 J//kg-K`, specific heat of water `=4200 J//kg-K`, and latent heat of fusion of ice `=3.3xx10^5 J//kg`.
The mass of the ice formed due to conversion from the water till thermal equilibrium is reached is equal to

Options

A. 0.12 kg
B. 0.15 kg
C. 0.25 kg
D. 0.40 kg

Answer

B

Explanation

Thermal equilibrium reaches after 60 min. Ice conversion takes place for 20 min. During this time water at `0^@C` continues to give heat at rate P.
`mxxL_f=Pxx(20xx60s)`
`impliesm=(42xx20xx60)/(3.3xx10^5)=0.15kg`