Suppose that on a dry, sunny day when the air temperature is near 37∘C, a certain swimming pool would increase in temperature by 1.75∘C in one hour if not for evaporation. What fraction of the water in the pool must evaporate during this time to carry away precisely enough energy to keep the temperature of the pool constant? The specific heat of water is 4186 J/(kg·∘C). At 37∘C, the latent heat of vaporization of water is 2430 kJ/kg. Assume that the water in the pool is close enough to 37 ∘C that this value for the latent heat can be used.

Suppose that on a dry, sunny day when the air temperature is near 37∘C, a certain swimming pool would increase in temperature by 1.75∘C in one hour if not for evaporation. What fraction of the water in the pool must evaporate during this time to carry away precisely enough energy to keep the temperature of the pool constant? The specific heat of water is 4186 J/(kg·∘C). At 37∘C, the latent heat of vaporization of water is 2430 kJ/kg. Assume that the water in the pool is close enough to 37 ∘C that this value for the latent heat can be used.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter21: Heat And The First Law Of Thermodynamics

Section: Chapter Questions

Problem 71PQ

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