Question

50 g of ice at 0 °C is added to 300 g of a liquid at 30 °C. What will be the final temperature of the mixture when all the ice has melted? The specific heat capacity of the liquid is 2.65 J g^-1 °C^-1 while that of water is 4.2 J g^-1oC^-1 and Specific latent heat of fusion of ice = 336 J g^-1

• A. 10.7°C
• B. 12.2 °C
• C. 9.2°C
• D. 7.01°C

Answer 1

The correct option is D

7.01°C

Let ‘t’ be the final temperature of the mixture.

According to the principle of calorimetry:

Heat given by liquid = Heat taken by ice to change the state + Heat taken by water to increase the temperature

or 300 x 2.65 x (30 - t) = 50 x 336 + 50 x 4.2 x (t - 0)

or 23,850 – 795t = 16,800 + 210

or 1005t = 7050

or t = 7.01°C.

Hence, the final temperature of the mixture is 7.01 ^oC