Question

X g of ice at 0°C is added to 340 g of water at 20°C. The final temperature of the resultant mixture is 5°C. The value of X (in g) is closest to

[Heat of fusion of ice = 333 J/g; specific heat of water = 4.184 J/g.K]

(a) 80.4

(b) 52.8

(c) 120.6

(d) 60.3

Answer 1

Answer is : (d) 60.3

Given, latent heat of fusion of ice = 333 J/g

Specific heat of water = 4.184 J/g K

First X g of ice at 0°C melts and then its temperature increases by gaining heat from 340 g of water at 20°C.

∴ Energy gained by X g of ice = energy lost by 340 g of water