When a diver jumps into a lake, water leaks into the gap region between the dive

Question

When a diver jumps into a lake, water leaks into the gap region between the diver's skin and her wetsuit, forming a water layer about 0.5 mm thick. Assume that the total surface area of the wetsuit covering the diver is about 1.0 m2, and that the water enters the suit at 16 C and is warmed by the diver to skin temperature of 35C. The specific heat of water is 1.00 kcal/kgC. Estimate how much energy (in units of candy bars = 300 kcal) is required by this heating process.

Express your answer using two significant figures.

Explanation / Answer

Volume = area*thickness = 1*0.5*10^-3 = 0.0005 m^3

mass = 0.5 kg

Now Energy = 0.5*1000*(35-16) = 9500 cal = 9500/(300000) = 0.03166 candy bars Answer

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