I really have no clue how to solve this.

"Given 360.5g of hot tea at 80 (C), what mass of ice at 0 (C) must be added to obtain iced tea at 10.5 (C)? The specific heat of the tea is 4.18, and the heat of fusion for ice is 6.01 kj/mol.

Question

I really have no clue how to solve this. 

"Given 360.5g of hot tea at 80 (C), what mass of ice at 0 (C) must be added to obtain iced tea at 10.5 (C)? The specific heat of the tea is 4.18, and the heat of fusion for ice is 6.01 kj/mol.

anonymous · Answer

(tea) mass*spec heat*T = (water) m*heat fusion

schrodinger · Answer

Could you explain in words how you would arrive at the point/how i'm supposed to know that association? Thanks.

anonymous · Answer

Actually I think there is something wrong because tea doesn't freeze at 10,5ºC - 1 atm. Unless the pressure is other. If so you will need the heat of fusion of tea as well.

anonymous · Answer

Are you sure about the question?

schrodinger · Answer

Let me double check: I'll directly copy/paste it to make sure there aren't any possible errors on my part:

"Given 360.5 of hot tea at 80.0, what mass of ice at 0  must be added to obtain iced tea at 10.5? The specific heat of the tea is 4.18 , and  for ice is +6.01 ."

anonymous · Answer

Well I don't know. It seems to me there is lack of info. I would do this. Calculate the hole energy for the tea process. Q total = Q1 (T80->Tfusion) + Q2 (fusion) + Q3 (Tfusion->T10.5 if 10.5 is not the fusion T o f tea). Then you use this energy to calculate the mass of water Q = m*L where L is 6.01kj/mol