\"Health experts\" recommend you \"drink eight eight-ounce glasses of water per

Question

"Health experts" recommend you "drink eight eight-ounce glasses of water per day" as part of a weight loss regimen. Assume you follow this advice, that the water enters your body as saturated liquid at 60 F, and all of it is exhaled so it exits your body as a saturated vapor at 98 F. How many calories does your body have to supply for this process? [It is useful to know that 'food' calories are really kCals, 1000 times the chemists cal, and equal to 4.18 kJ.] How much energy would your body have to supply if all the water exited your body as a saturated liquid at 98 F? What would the value be if half exited as saturated liquid and half as saturated vapor? (Provide basic equations, sketch and working)

Explanation / Answer

total mass of water taken per day= **= 64 ounce

so mass=64*28.35

=1814.4 gm

so delta T= 36.66-15.55(i have converted it into celcius)

= 21.11

so msdeltT= E

thus

1814.4*21.11*4.18

= 160102.3 J

so food calorie required

= 160102.3/4.18*10^3

38.3 food calorie

2). if half saturated liquid and half vapour

then

907.2 gm will be coverted to vapour....

so delt T for this = 100-15.55

=84.45

so total heat required= 907.2*4.18*21.11+ 907.2*4.18*84.45+ 907.2*2.6*1000 J

= 2759013.65 J

so fodd calorie required

=660.5 food calorie

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