Question

If $10g$ of the ice at $0^{0}C$ is mixed with $10g$ of water at ${10}^{0}C$, then the final temperature of the mixture will be :

• A. $5^{0}C$
• B. $0^{0}C$
• C. $100K$
• D. ${40}^{0}C$

Answer 1

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

For the ice to melt, heat provided must be greater than the latent heat of ice.
Latent heat$=mL=0.01\times 334=3.34kJ$
Let's assume that the water reaches $0^o$C
Change in heat$=0.01\times 4.19(10-0)=0.0419kJ$
This is less than the latent heat of ice, hence the ice won't melt, instead the whole mixture will be at $0^o$C only.