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The problem states that the human body generated heat at the rate of about 100. W (1 W= 1 J/s). And the question asks at what rate does your body heat generate entropy in your surroundings, taken to be at 20. degrees Celsius? So would the entropy be that of the system or of the surroundings? The solutions manual starts with a negative sign for the entropy calculation but then the answer appears without a negative sign.
The solutions manual uses the entropy generation formula which has a negative answer because the system will be releasing entropy. But the question asks for the rate of entropy your body generates. So we are answering the question, at what rate is the entropy in our surrounding changing, which would result in a positive entropy of the surroundings.
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