A man takes a diet equivalent to 10000 kJ per day and does work, in expending his energy in all forms equivalent to 12500 KJ per day. If the energy lost was stored as sucrose (1632 kJ per 100 g), how many days should it takes to lose 2 kg of his weight? (Ignore water loss).

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Solution

The correct option is A 13
Energy taken by a man = 10000 kJ
Change in internal energy per day = 12500 - 10000 = 2500 kJ
The energy is lost by the man as he expands more energy than he takes.
Now 100 g of sugar corresponds to energy = 1632 kJ
Loss in energy
2000 g of sugar corresponds to energy
$= \frac{1632 \times 2000}{100} = 32640$ kJ
$∴$ Number of days required to lose 2000 g of weight or 32640 kJ of energy
$= \frac{32640}{2500} = 13$

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