If a 50.0 gram piece of copper is heated to 100oC and then put into a vessel containing 50.0 grams of water at 11oC. Take the molar heat capacity of copper to be 24.4 ? / ??? ?? and that of water to be 75.3 ? / ??? ??  Molar mass of copper is 63.55 g/mol and the molar mass of water is 18.02 g/mol. 24) How many moles of copper are involved in the above reaction? What will be the final temperature of the water (in oC)? a) 95oC b) 55oC c) 18oC d) 2.0oC   Note: I think I understand how to set up the problem, but am lost on the algebra to settle for T-final. My setup: 0.78678 mol Cu * 24.4 J/mol oC * (T final - 100 oC) = -2.7746 mol H2O * 75.3 J/mol oC * (T final - 11 oC) Thanks!

Chemistry & Chemical Reactivity
9th Edition
ISBN:9781133949640
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter5: Principles Of Chemical Reactivity: Energy And Chemical Reactions
Section: Chapter Questions
Problem 39PS: A piece of titanium metal with a mass of 20.8 g is heated in boiling water to 99.5 C and then...
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If a 50.0 gram piece of copper is heated to 100oC and then put into a vessel containing 50.0 grams of water at 11oC.

Take the molar heat capacity of copper to be 24.4 ? / ??? ?? and that of water to be 75.3 ? / ??? ?? 

Molar mass of copper is 63.55 g/mol and the molar mass of water is 18.02 g/mol. 24) How many moles of copper are involved in the above reaction?

What will be the final temperature of the water (in oC)?

a) 95oC

b) 55oC

c) 18oC

d) 2.0oC

 

Note: I think I understand how to set up the problem, but am lost on the algebra to settle for T-final. My setup:

0.78678 mol Cu * 24.4 J/mol oC * (T final - 100 oC) = -2.7746 mol H2O * 75.3 J/mol oC * (T final - 11 oC)

Thanks!

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