amels require very little water because they are able to tolerate relatively lar

Question

amels 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 34.0C overnight and rise to 40.0C during the day. (Note: The specific heat of a camel or other mammal is about the same as that of a typical human, 3480 J/(kgK). The heat of vaporization of water at 34C is 2.42 × 106 J/kg.)

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 34.0C by evaporation of sweat during the day (12 hours) instead of letting it rise to 40.0C.

V= L

Explanation / Answer

Q = M S dT

M = 400 kg , S =3480 J/(kgK) and

dT = 6 K( 400 C - 340 C ====> 313 - 307 = 6 K )

Q = 400 X 40 X 6

Q = 1.0056 X 107 J

but we know that

The heat of vaporization of water at 34C is Lv = 2.42 X 106 J/kg

Q = Lv m

m = Q / Lv

m = 8352000 / 2.42 X 106

m = 3.451 kg

but given from data V= L

V = 3.451 kg then L = 3.451 Litres

then the camel would have to drink 3.451 Litres of water

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