Specific Heat Problem and boiling water

[clutch12]

Homework Statement

140 grams of boiling water (temperature 100° C, heat capacity 4.2 J/gram/K) are poured into an aluminum pan whose mass is 1100 grams and initial temperature 24° C (the heat capacity of aluminum is 0.9 J/gram/K).
After a short time, what is the temperature of the water?

Homework Equations

Q=mc delta t

The Attempt at a Solution

140g(4.2J/K/gram)(T-100) = 1100g(0.9 J/K/gram)(24-T)
588T-58800 = 23760 - 990 T
588T + 990 T = 23760 + 58800
1578 T = 82560
T= 52.319

Am I doing this right?

 

[Delphi51]

Looks good to me, clutch.

 

[clutch12]

Alright and when I am determining the temperature am i subtracting 100-52.319 or no?

 

[Delphi51]

No, 52.319 is the final answer. 100-52.319 would be the change in temperature of the water.

 

[clutch12]

oh ok thanks for clearing that up