MSDM Q$4\mathrm{.}55$

$23$

ME$322$ Thermo and HT

First Law

A well$-$insulated copper tank of mass $13$ kg contains $4$ kg of liquid water at atmospheric pressure. Initially, the temperature of the copper is $27C$ and the temperature of the water is $50C.$ An electrical resistor of negligible mass transfers $100$ kJ of energy to the contents of the tank. The tank and its contents come to equilibrium while internal pressure remains constant. What is the final temperature, in $C?$