Question

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at ${100}^{\circ }C,$ while the other one is at $0^{0}C.$ If the two bodies are brought into contact, then assuming no heat loss, the find common temperature is

• A. $0^{\circ }C$
• B. ${550}^{\circ }C$
• C. $morethan{50}^{0}C$
• D. Less than ${50}^{\circ }C$ but greater than $0^{\circ }C$

Answer 1

The correct option is C $morethan{50}^{0}C$

Since, heat capacity of material increases with increase in temperature

So, body at ${100}^{0}C$ has more heat capacity than body at ${10}^{0}C.$

Hence, final common temperature of the system will be closer to ${100}^{0}C.$

$\therefore T_c={50}^{0}C$

Hence,

option $\left(C\right)$ is correct answer.