Heat balance equation

[Bduffy01440]

You have 50lbs. of Ice at 32f and add it to 200lbs. Of water at 180f what is the final temperature?

 

[tkhunny]

Ummm... Is it otherwise a closed system?

 

[Bduffy01440]

The question comes up on a 1st class engineers exam that I’m studying to take. It just says you add 50lbs of ice at 32f to 200lbs of water at 180f what’s the final temperature. I’m guessing it’s closed system or just a tank or drum. I was taking the latent heat of fusion 144 btu/lb. and multiplying it by 50 to get 7200 btu/lb. then I took the 200lbs. X 180 = 36000 btus/lb. then added the two together 36000+7200= 43200. Then divided by 250lbs and came up with 172.8 btus/lb. but I don’t know if it’s correct.