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## Homework Statement

A boater dumps 8.6 kg of ice from his cooler into the lake at the end of a fishing trip. The ice is at -6°C, and the lake is at 20.9°C. What is the change in entropy of the new lake-ice cube system after the ice cubes come to equilibrium with the lake?

## Homework Equations

[tex]\Delta[/tex]S = [tex]\frac{\Delta Q}{T}[/tex]

## The Attempt at a Solution

Not sure where I'm going wrong, but my answer is around 13 times too large.

I calculated 3 different dQ's corresponding to bringing the ice up to 0 C, melting the ice, then bringing the water up to 20.9 C. I then summed each dQ and got 3840.8 kJ, divided by 294.05K and end up with 13.061 kJ/K. (the actual "right" answer is 0.873 kJ/K, I just cannot get to it!)