While jogging, a 70.0-{\rm kg} student generates thermal energy at a rate of 1200 {\rm W}. To maintain a constant body temperature of 37.0{\rm ^{\circ} C}, this energy must be removed by perspiration or other mechanisms. If these mechanisms failed and the heat could not flow out of the student's body, irreversible body damage could occur.(adsbygoogle = window.adsbygoogle || []).push({});

Protein structures in the body are irreversibly damaged if body temperature rises to 44.0{\rm ^{\circ} C} or above. The specific heat of a typical human body is 3480\;{\rm J/(kg \cdot K)}, slightly less than that of water. (The difference is due to the presence of protein, fat, and minerals, which have lower specific heat capacities.)

For how long a time t could a student jog before irreversible body damage occurs?

Express your answer in minutes.

Okay so I used Q=mc(Tf-Ti) = 1705200J

Then I divded that with the power given in the problem to obtain to time in sec since I know power is J/s

I got 1421 s then I converted it to min -> 23.68min -> I entered 24min as my answer.

I don't understand where I did wrong, it says:

"Not quite. Check through your calculations; you may have made a rounding error or used the wrong number of significant figures."

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# The Overheated Jogger

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