Question

What is the final temperature of the mixture of 10 gram of ice at 0 degrees and 10 grams of water at 60 degrees

Answer 1

Well, the question is if the water can melt completely the ice. If it can, then final temperature is above 0 degreeC and everything is liquid, if not, everything continues to be at 0 º C, as a mixture of ice and saturated water at 0 degree C. The limiting condition for either situation is whether (mass of ice)*(latent heat of fusion) is greater or less than (mass of water)*(water specific heat)*(superheat of water above 0 degree C

Answer 2

Final temperature of the mixture will be 0 degree.

Explanation:

The Latent heat of melting ice 80 cal/gm, for 10 gms it is 800 calories.

The specific heat of water 1 cal/gm per degree C, and for 10 gm of water at 60 deg C has 600 calories.

As the requirement to melt 10 gm of ice is 800 calories, but the availability is only 600 calories, so  the water would melt some of the ice and the mixture temperature would remain at 0 deg C.