What Is the Rough Estimate for Temperature in Statistical Mechanics Homework?

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Homework Statement




Please see attached

Homework Equations





The Attempt at a Solution



Ok so I've done the first part okay and got S = 17.38 times the Boltzmann constant.

Just don't see how to make a rough estimate of the temp.. what is epsillon>?
 

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how am i meant to link it to temp?