Question

$1kg$ of ice at $0^{o}C$ is mixed with $1kg$ of water at ${10}^{o}C$. The resulting temperature will be

• A. Less than $0^{o}C$
• B. $0^{o}C$
• C. Between $0^{o}C$ and ${10}^{o}C$
• D. Greater than $0^{o}C$

Answer 1

The correct option is B $0^{o}C$

The latent heat of ice is $80kcal/kg$, it means $80kcal.$

Heat is required to melt the ice at $0^{o}C$ in water at $0^{o}C$.

Now heat given by $1kg$ of water, when its temperature decreases to the temperature of ice ($0^{o}C$)

$Q=1\times 1\times (10-0)=10kcal$

As we can see that heat provided by water is less than the heat required to change the ice completely in water. Therefore, final temperature will be $0^{o}C$.