# Homework Help: Finding entropy change

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1. Jun 15, 2017

### Chemmjr18

1. The problem statement, all variables and given/known data

A 5.0-kg piece of lead at a temperature of is 600 Celsius placed in a lake whose temperature is 15 Celsius. Determine the entropy change of (a) the lead piece, (b) the lake, and (c) the universe.

final temperature of lead=288.15 assumed that the temperature of lake wont noticeably change)
2. Relevant equations

For the lake and the universe im not sure where to begin.
3. The attempt at a solution
ΔS=-710 J/K

The books answer is ΔS=-540 J/K for the lead. I feel like the book isn't giving all of the necessary data to solve this problem (i.e. the size of the lake).

2. Jun 15, 2017

### Staff: Mentor

How much heat is transferred to the lake? With this amount of heat transferred, if the lake is considered an ideal reservoir at 15 C, what is its change in entropy? What is the sum of the entropy change of the lead and the lake?

Last edited: Jun 15, 2017
3. Jun 15, 2017

### Chemmjr18

Thanks for your help. I guess the book is wrong (which isn't surprising). For the lake, I got ΔS=1300 J/K and for the universe, I got ΔS=590 J/K.

4. Jun 15, 2017

### Staff: Mentor

Confirmed.

5. Jun 15, 2017

### Chemmjr18

Thanks for the help!