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Consider a gas with N=1023 molecules. Initially, the gas is contained in one half of a box, but eventually it is allowed to fill the

Consider a gas with N=1023 molecules. Initially, the gas is contained in one half of a box, but eventually it is allowed to fill the remaining half. 

1. Compute the change of entropy by counting the number of micro-states. 

2. Use the Stirling Approximation to rewrite the computation above for very large N .

3. Compute the change of entropy again, but now use the heat transfer formula.

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