Posted by AfterLife on Saturday, August 20, 2011 at 1:36pm.
a 35 g ice cube at 0.0 C is added to 110 g of water in a 62 g aluminium cup. The cup and the water have an initial temperature of 23 C . Find the equilibrium temperature of this system? in Celsius ,, I've been trying to solve this for 2 hours now , and I still can't get the answer ,, help please ?

Physics  bobpursley, Saturday, August 20, 2011 at 2:55pm
The sum of the heats gained equals zero (yes, the substance losing heat is negative).
sum heats gained=0
35*Hfice+62(Calum)*(Tf0)+35(Cwater)(Tf0)+ 110*Cwater(Tf23)=0
solve for Tf. 
Physics  drwls, Saturday, August 20, 2011 at 3:06pm
Assume all of the ice melts. (If it doesn't you will find out later when you compute the final temperature).
Look up the specific heat of aluminum. It is 0.22 cal/C gm
Assume the heat lost by the water and aluminum when being lowered to final temperature T equals the heat gained by the ice when melting and rising to the same temperature T. Solve for T .
( 110*1.0 + 62*0.22)*(23  T) = 35*(80 + 1.0*T)
The 1.0 numbers are specific heats of water and 80 cal/g is the latent heat of fusion of ice
If you get a negative T (in C) , all of the ice did not melt. 
Physics  AfterLife, Saturday, August 20, 2011 at 3:25pm
Thanx I will try it out