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JEE Main 202325 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
25 January
Shift
Morning Shift
Subject
Chemistry
Chapter
Biomolecules

JEE Main 2023 · 25 January · Morning Shift · Chemistry · Biomolecules

An athlete is given 100g of glucose ( C _ 6 H _ 12 O _ 6 ) for...

An athlete is given 100g100g of glucose (C6H12O6)\left({C}_{6}{H}_{12}{O}_{6}\right) for energy. This is equivalent to 1800kJ1800kJ of energy. The 5050 % 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 45kJmol−145kJ{mol}^{- 1}

Molar mass of C,H and OC, H \text{ and } O are 12.1and16gmol−112.1 and 16g{mol}^{- 1}.

Correct answer

0

Step-by-step solution

Overall reaction of metabolism of glucose in the body:
C6H12O6(s)+6O2→6CO2(g)+6H2O(l){C}_{6}{H}_{12}{O}_{6} ( s ) + 6{O}_{2} \to 6{CO}_{2} ( g ) + 6{H}_{2}O ( l )

Extra energy used to convert H2O(l){H}_{2}O ( l ) into H2O(g){H}_{2}O ( g ), energy left

=18002=900kJ= \dfrac{1800}{2} = 900kJ
Moles of water vaporised from enthalpy of evaporation:

⇒900=nH2O×45⇒ 900 = {n}_{{H}_{2}O} \times 45

nH2O=90045=20mole{n}_{{H}_{2}O} = \dfrac{900}{45} = 20\text{mole}

WH2O=20×18=360g{W}_{{H}_{2}O} = 20 \times 18 = 360g

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