A 5 g piece of ice at - $20^{\circ} C$ is put into 10g of water at $30^{\circ} C$ . Assuming that heat is exchanged only between the ice and the water, find the final temperature of the mixture.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
Specific heat capacity of ice = $2100 J / k g^{\circ} C$ ,
Specific heat capacity of water = $4200 J / k g^{\circ} C$ Latent heat of fusion of ice = $3.36 \times 10^{5} J / k g$ .
The heat given by the water when it cools down from $30^{\circ} C$ to $0^{\circ} C$ is
$(0.01 k g) (2100 J / k g^{\circ} C) (20^{\circ} C) = 210 J$
The heat required to melt 5 g of ice is
$(0.005 k g) (3.36 \times 10^{5} J / k g) = 1680 J$
We see that whole of the ice cannot be melted as the required amount of heat is not provided by the water. Also, the heat is enough to bring the ice to $0^{\circ} C$ . Thus the final temperature of the mixture is $0^{\circ} C$ with some of the ice melted.

Suggest Corrections

Similar questions

Q. A 5 g piece of ice at -

20^{\circ} C

is put into 10g of water at

30^{\circ} C

. Assuming that heat is exchanged only between the ice and the water, find the final temperature of the mixture.

A 5 g piece of ice at $- 20^{\circ} C$ is put into 10 g of water at $30^{\circ} C$ . Assuming that heat is exchanged only between the ice and the water, find the final temperature of the mixture. Specific heat capacity of ice = $2100 J k g^{- 1}$ $^{\circ} C^{- 1}$ , specific heat capacity of water = $4200 J k g^{- 1}$ $^{\circ} C^{- 1}$ and latent heat of fusion of ice = $3.36 \times 10^{5} J k g^{- 1}$ .

A 5 g piece of ice at $- 20^{\circ}$ C is put into 10 g of water at $30^{\circ}$ C. Assuming that heat is exchanged only between the ice and the water. Then find the heat required for phase change. Specific heat capacity of ice $= 2100 J k g^{- 1}^{\circ} C^{- 1}$ . Specific heat capacity of water $= 4200 J k g^{- 1}^{\circ} C^{- 1}$ and latent heat of fusion of ice $3.36 \times 10^{5} J k g^{- 1}$ .