Question

$M$ kg of ice at $0^{0}C$ is mixed with $M$ kg of water at ${10}^{0}C$. The final temperature is

• A. $8^{0}C$
• B. $6^{0}C$
• C. $4^{0}C$
• D. $0^{0}C$

Answer 1

Answer: (D)

$0^{0}C$

For the ice to melt, heat provided must be greater than the latent heat of ice.
Latent heat$=ML=M\times 334=334MkJ$
Let's assume that the water reaches $0^o$C
Change in heat$=M\times 4.19(10-0)=41.9MkJ$
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.