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An athlete is given 100 g of glucose C6H12O6 for energy. This is equivalent to 1800 kJ of energy. The 50% of this energy gained is utilized by the athlete for sports activities at the event. In order to avoid storage of energy, the weight of extra water he would need to perspire is _____g (Nearest integer) Assume that there is no other way of consuming stored energy.

Given : The enthalpy of evaporation of water is 45 kJ mol-1

Molar mass of C,H&O are $12.1$ and 16 g mol-1.

ChemistryBiomoleculesJEE MainJEE Main 2023 (25 Jan Shift 1)
Solution:
1033 Upvotes Verified Answer
The correct answer is: 360

Overall reaction of metabolism of glucose in the body:
C6H12O6( s)+6O26CO2( g)+6H2O(l)

Extra energy used to convert  H2O(l) into H2O(g), energy left

=18002=900 kJ
Moles of water vaporised from enthalpy of evaporation:

900=nH2O×45

nH2O=90045=20 mole 

WH2O=20×18=360 g

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