Question
The evaporation of perspiration is the primary mechanism for cooling the human body. Estimate the amount of water you will lose when you bake in the sun on the beach for an hour. Use a value of $1000 \mathrm{~W} / \mathrm{m}^{2}$ for the intensity of sunlight and note that the energy required to evaporate a liquid at a particular temperature is approximately equal to the sum of the energy required to raise its temperature to the boiling point and the latent heat of vaporization (determined at the boiling point).
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Mathematically, this can be represented as: \[E = I \cdot A \cdot T\] where \(E\) is the energy received, \(I\) is the intensity of sunlight, \(A\) is the surface area, and \(T\) is the time. Show more…
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The evaporation of perspiration is the primary mechanism for cooling the human body. Estimate the amount of water you will lose when you bake in the sun on the beach for an hour. Use a value of 1000 $\mathrm{W} / \mathrm{m}^{2}$ for the intensity of sun- light and note that the energy required to evaporate a liquid at a particular temperature is approximately equal to the sum point and the latent heat of vaporization (determined at the boiling point).of the energy required to raise its temperature to the boiling
Evaporating sweat cools the body because evaporation is an endothermic process: $$ \mathrm{H}_{2} \mathrm{O}(l) \longrightarrow \mathrm{H}_{2} \mathrm{O}(g) \quad \Delta H_{\mathrm{ren}}^{\mathrm{e}}=+44.01 \mathrm{kJ} $$ Estimate the mass of water that must evaporate from the skin to cool the body by $0.50^{\circ} \mathrm{C}$ . Assume a body mass of 95 $\mathrm{kg}$ and assume that the specific heat capacity of the body is 4.0 $\mathrm{J} / \mathrm{g} \cdot^{\circ} \mathrm{C}$ .
Evaporating sweat cools the body because evaporation is an endothermic process: $$ \mathrm{H}_{2} \mathrm{O}(l) \longrightarrow \mathrm{H}_{2} \mathrm{O}(g) \quad \Delta H_{\mathrm{ran}}^{\mathrm{o}}=+44.01 \mathrm{~kJ} $$ Estimate the mass of water that must evaporate from the skin to cool the body by $0.50^{\circ} \mathrm{C}$. Assume a body mass of $95 \mathrm{~kg}$ and assume that the specific heat capacity of the body is $4.0 \mathrm{~J} / \mathrm{g} \cdot{ }^{\circ} \mathrm{C}$.
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