Same quantity of ice is filled in each of the two metal containers P and Q having the same size, shape and wall thickness but made of different materials. The containers are kept in identical surroundings. The ice in P melts completely in time t1, whereas in Q takes a time t2. The ratio of thermal conductivities of the materials of P and Q is
We know that, relation between the temperature gradient (TG) and thermal conductivity (K),
i.e.
or
... (i)
and ... (ii)
From Eqs. (i) and (ii), we get