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Power, Force and Velocity

A couple sitt...

Question

A couple sitting in a warm room on a winter day takes 1/2 kg of cheese sandwiches (an energy intake of 8 130 kJ for both). The enthalpy of vaporisation of water is $40.65 k J m o l^{- 1}$ . Supposing that one of the energy is stored in body, mass (in g) of water would they need to perspire in order to maintain their original temperature is (nearest integer) _________.

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Solution

Energy intake $= 8.130 k J$
The enthalpy of vaporization for water $= 40.65 k J / m o l = \frac{40.65 k J / m o l}{18 g / m o l} = 2.258 k J / g$
Thus, the mass (in g) of water needed to perspire in order to maintain original body temperature $= \frac{8.130 k J}{2.258 k J / g} = 3.60 \approx 4 g$ .

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