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Where did this formula from the second law of thermodynamics $\Delta S=q/T$ come from and what is the reasoning behind it?

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Where did this formula from the second law of thermodynamics come from and what is the reasoning be...

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Where did this formula from the second law of thermodynamics come from and what is the reasoning behind it?

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Where did this formula from the second law of thermodynamics $\Delta S=q/T$ come from and what is the reasoning behind it?