Answer to Question #337119 in Molecular Physics | Thermodynamics for jaja

Question

5

.

When you take a bath, how many kilograms of cold water (10°C) must you mix with hot water

(50°C) so that the temperature of the bath is 35°C? The total mass of water is 180 kg. Ignore any

heat flow between the water and its surroundings.

Answer 1

$m(35-10)=(180-m)(50-35),$

$25m=180\cdot 15-15m,$

$m=67.5~kg.$