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 m^2, and that the water enters the suit at 15 degree C and is warmed by the diver to skin temperature of 35 degree C. The specific heat of water is 1.00 kcal/kg middot C degree. Estimate how much energy (in units of candy bars = 300 kcal) is required by this heating process. Express your answer using two significant figures. Q = ____ candy bars

Explanation / Answer

Let us first calculate the mass of the water

m= V=Ad

m=(1000kg/m^3)*(1.0m^2)*(0.5*10^-3m)

m=0.5kg

Now,

Q=m*c*T

Q=0.5kg*1.00kcal/kg*(35C – 15C)

Q= 10kcal

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