- #1
Chemmjr18
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Homework Statement
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.
mass of lead=5 kg
initial temperature of lead=873.15 K
final temperature of lead=288.15 assumed that the temperature of lake won't noticeably change)
heat capacity of lead=128 J/(kg⋅K)
Homework Equations
For the lead,
ΔS=mass of lead⋅heat capacity of lead⋅ln(final temperature/initial temperature)
For the lake and the universe I am not sure where to begin.
The Attempt at a Solution
For the lead I got
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).