Question

A bucket contains 8 kg of water at 25⁰ C. 2 kg of water at 80⁰ C is poured into it. Neglecting the heat energy absorbed by the bucket, calculate the final temperature of water.

Answer 1

30. Let C be the specific heat capacity of water.

Let final temperature of the mixture be 8°C.

Heat energy lost by hot water = Heat energy gained by cold water

2 x C x (80 - 8) = 8 x C x (8 - 25)

or, 2(80 - 8) = 8 (8 - 25)

or,80 - 8 = 48 - 100

or, 58 = 180

 0 = 36

So, the final temperature of water will be 36°C.