A 50.0-g sample of liquid water at 25.0°C is mixed with 23.0 g of water at 61.0°C.The final temperature of the water is ________°C.
A) 106
B) 27.4
C) 43.0
D) 178
E) 36.3

Question

Quizplus · Accepted Answer

The final temperature can be found using the principle of conservation of energy, where the heat lost by the warmer water equals the heat gained by the cooler water. The formula for heat (q) is $q = mc\Delta T$, where $m$ is mass, $c$ is the specific heat capacity of water (4.18 J/g°C), and $\Delta T$ is the change in temperature. Setting the heat lost by the warmer water equal to the heat gained by the cooler water and solving for the final temperature gives a result that matches choice E, 36.3°C.

A 500-G Sample of Liquid Water at 25