Before going in for an annual physical, a 70.0kg-person whose body temperature i

Question

Before going in for an annual physical, a 70.0kg-person whose body temperature is 37.0 degrees C consumes an entire 0.355-liters can of a soft drink (which is mostly water) at 12.0 degrees C.

What will be the person's body temperature after equilibrium is attained? Ignore any heating by the person's metabolism. The specific heat capacity of a human body is 3480 J/kg*K in degrees C.

Is the change in the person's body temperature great enough to be measured by a medical thermometer? (A high-quality medical thermometer can measure temperature changes as small as 0.1 degrees Cor less.)

Explanation / Answer

Let Final Temparature T, Heat lost by Human Body would be equal to heat gained by Soft Drink

Equating Q= m C t

Heat Capacity of Water = 4180 J/kg

70 x 3480 x (37-T) = 0.355 x 4180 x (T - 12)

Solving for T we get :

T = 36.84o C

Change in T = .16 o C (> 0.1) Hence can, be measured by a medical thermometer

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