A calorimeter of thermal capacity 80j contains 20g of water at 25°C. Water at 100°C is added so that the final temperature of the set-ups is 50°C. The amount of water added is (Heat capacity of water = 4.18J/g/°C)

A.

20g

B.

25g

C.

45g

D.

50g

E.

100g

Correct answer is A

Heat lost = heat gained

mc\(\theta\) = c\(\theta\) + mc\(\theta\)

m x 4.18 x (100 - 50) = 80(50 -25) + [20 x 4.18] x (50 - 25)

m = 20g