Question

A $0.530kg$ sample of liquid water and a sample of ice are placed in a thermally insulated container. The container also contains a device that transfers energy as heat from the liquid water to the ice at a constant rate $P$, until thermal equilibrium is reached. The temperatures $T$ of the liquid water and the ice are given in figure as functions of time $t$; the horizontal scale is set by $t_s=80.0min$.
When thermal equilibrium is reached, what is the mass of the ice produced in this process?

Answer 1

To find the ice produced ( by freezing the water that has already reached $0^{o}C$, so we concerned with the $40min<t<60min$ time span), we use
$m_{waterbecomingice}=\frac{Q_{20min}}{L_F}=\frac{44414}{333000}=0.13kg$.