Explanation Given data: The heat interaction because of the evaporation by sweating is 325 J/s. The person runs a marathon covering 26 miles in 4 h. Formula used: While evaporating, the cooling effect is observed because the water evaporates by using the latent heat of vaporization. The expression for the amount of heat released because of evaporation is, Q Evaporation = m ( L H ) water Here, Q Evaporation is the amount of energy transferred by the evaporation, m is the mass of water used and L H water is the latent heat of water. The expression for the mass of the water needed is, m = ρ V Here, ρ is the density of the water and V is the volume of water needed. Explanation: Reason for correct option: The latent heat of water is 2.26 × 10 6 J/kg . The runner runs for 4 hours, and the water is lost by evaporation, so the total amount of heat released is, Q Evaporation = 325 J/s ( 4 hr ) ( 60 min 1 hr ) ( 60 s 1 min ) = 4680000 J Recall the expression for the amount of heat released because of evaporation; Q Evaporation = m ( L H ) water Rearrange the expression for the mass of the water needed. m = Q Evaporation ( L H ) water Substitute 4680000 J for Q Evaporation and 2

2nd Edition

ISBN: 9780134601823

Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan

Publisher: Pearson,

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Chapter 15, Problem 80RPP

To determine

The quantity of water that a person should drink to replace the water lost by evaporation, when he is running a marathon covering 26 miles in 4 h and the heat lost because of the evaporation of sweat is -325 J/s.

a) 0.5 L.

b) 2 L.

c) 4 L.

d) 12 L.

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Chapter 15, Problem 79RPP

Chapter 16, Problem 1RQ

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Chapter 15 Solutions

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The quantity of water that a person should drink to replace the water lost by evaporation, when he is running a marathon covering 26 miles in 4 h and the heat lost because of the evaporation of sweat is -325 J/s. a) 0.5 L. b) 2 L. c) 4 L. d) 12 L.

Solution Summary: The author explains that the amount of water that a person should drink to replace the water lost by evaporation is -325 J/s.

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The quantity of water that a person should drink to replace the water lost by evaporation, when he is running a marathon covering 26 miles in 4 h and the heat lost because of the evaporation of sweat is -325 J/s. a) 0.5 L. b) 2 L. c) 4 L. d) 12 L.

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Chapter 15 Solutions

The quantity of water that a person should drink to replace the water lost by evaporation, when he is running a marathon covering 26 miles in 4 h and the heat lost because of the evaporation of sweat is -325 J/s.

a) 0.5 L.

b) 2 L.

c) 4 L.

d) 12 L.