Question

$1000cal$ of heat energy is supplied to $100g$ of ice at $0°C$. What is the final temperature of the content?

• A. $0°C$
• B. $20°C$
• C. $5°C$
• D. $3°C$

Answer 1

The correct option is A

$0°C$

Step 1: Given Data-

Heat energy supplied $1000cal$

Mass of ice $100g$

Step 2: Calculate the heat energy required to melt ice-

We know that Latent heat of fusion of Ice is $80cal/g$

Hence even to melt the ice (convert the state to water at $0°C$), The heat required will be:

$$\begin{gathered} Q=m{L}_f \\ Q=100\times 80 \\ Q=8000cal \end{gathered}$$

Therefore, $8000cal$ of heat energy is required to melt the ice. Even after that, the temperature of the water will be $0°C$

Hence, when $1000cal$ of heat energy is supplied to $100g$ of ice at $0°C$, there will be no change in the temperature.

Hence Option A is correct.