What Is the Final Temperature When Mixing Ice and Steam?

[Sirsh]

0.50kg of ice at 0degrees is mixed with 0.1kg of steam at 100degrees. what is the final temperature?

The Attempt at a Solution

0.5*2100*(X-0) = 0.1*2000*(100-X)
1050X = 20,000-200X
3050X = 20,000
X = 16

But that's not the temp?

Can someone please help me out. Thank you. Sirsh

 

[kuruman]

When the ice and steam are mixed, the ice will start melting and the steam will start condensing. You need to take into account the specific heats of fusion and vaporization.