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BIO “The Ship of the Desert.” Camels require very little

Chapter 17, Problem 53E

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QUESTION:

BIO “The Ship of the Desert.” Camels require very little water because they are able to tolerate relatively large changes in their body temperature. While humans keep their body temperatures constant to within one or two Celsius degrees, a dehydrated camel permits its body temperature to drop to 34.0o C overnight and rise to 40.0o C during the day. To see how effective this mechanism is for saving water, calculate how many liters of water a 400-kg camel would have to drink if it attempted to keep its body temperature at a constant 34.0o C by evaporation of sweat during the day (12 hours) instead of letting it rise to 40.0o C. (?Note?: The specific heat of a camel or other mammal is about the same as that of a typical human, 3480 J/kg ? K. The heat of vaporization of water at 34o C is 2.42 X 106 J/kg.)

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QUESTION:

BIO “The Ship of the Desert.” Camels require very little water because they are able to tolerate relatively large changes in their body temperature. While humans keep their body temperatures constant to within one or two Celsius degrees, a dehydrated camel permits its body temperature to drop to 34.0o C overnight and rise to 40.0o C during the day. To see how effective this mechanism is for saving water, calculate how many liters of water a 400-kg camel would have to drink if it attempted to keep its body temperature at a constant 34.0o C by evaporation of sweat during the day (12 hours) instead of letting it rise to 40.0o C. (?Note?: The specific heat of a camel or other mammal is about the same as that of a typical human, 3480 J/kg ? K. The heat of vaporization of water at 34o C is 2.42 X 106 J/kg.)

ANSWER:

Solution 53E Change in body temperature of the camels T = 40 C 34 C = 6 C = 6 K 0 Mass of the camel m = 400 kg Specific heat of camel’s body s = 3480 J/kg.K 6 Latent heat of vaporization of water L = 2.42 × 10 J/kg Now, heat lost by the body of the came

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