Answer to Question #107359 in Molecular Physics | Thermodynamics for Nyx

Question

A 300 g glass thermometer initially at 21 ◦C
is put into 247 cm3
of hot water at 81 ◦C.
Find the final temperature of the thermometer, assuming no heat flows to the
surroundings. The specific heat of glass is
0.2 cal/g · ◦ C and of water 1 cal/g · ◦ C.

Answer 1

The final temperature in the system after mixing

$$t=\frac{c_1m_1t_1+c_2m_2t_2}{c_1m_1+c_2m_2}.$$

$$=\frac{0.2\times 300\times 21+1.0\times 247\times 81}{0.2\times 300+1.0\times 247}=69\:^{\circ}\rm C.$$