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## Homework Statement

5 kg of water at 60 degrees are put in contact with 1 kg of ice at 0 degrees and are thermally isolated from everything else. The latent heat of ice is 3.3x10

^{5}J/kg

What is the change of entropy of the universe when 100J of energy are transferred from the water to the ice

2. Homework Equations

2. Homework Equations

Q=+/- mL

Q=mcΔT

ΔS=|Q|/T

_{c}-|Q|/T

_{H}

## The Attempt at a Solution

mcΔT+mL+mcΔT=0

(5)(4200)(T

_{f}-60)+(1)(3.3×10

^{5})+2000(1)T

_{f}=0

23000T

_{f}=96000

T

_{f}=41.74 C

ΔS=100/(41.74+273)-100/(273)=-0.0486

I'm not getting the right answer for this one. Help would be greatly appreciated!