1. Tardigrade
  2. Question
  3. Chemistry
  4. An athlete is given 100 g of glucose ( C 6 H 12 O 6) 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 m o l-1 Molar mass of C . H O are 12,1 and 16 g mol -1.

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Q. An athlete is given $100\, g$ of glucose $\left( C _6 H _{12} O _6\right)$ 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 $45 \,kJ \,m o l^{-1}$
Molar mass of $C . H\, \&\, O$ are 12,1 and $16\, g \,mol ^{-1}$.

JEE MainJEE Main 2023Thermodynamics

Solution:

$C _6 H _{12} O _6( s )+6 O _2 \rightarrow 6 CO _2( g )+6 H _2 O ( l )$
Extra energy used to convert $H _2 O ( l )$ into $H _2 O ( l )$ into $H _2 O ( g )$
$=\frac{1800}{2} =900 kJ$
$\Rightarrow 900= n _{ H _2 O } \times 45$
$n _{ H _2 O } =\frac{900}{45}=20 \text { mole } $
$W _{ H _2 O } =20 \times 18=360 g$