Question 32

The average daily loss of water of a human body is 0.8 kg, evaporated by the body. How much food (in kg) has to be consumed in order to compensate for the loss of energy due to the evaporation if human body can use $$70\%$$ of the energy provided by the decomposition of food. The heat of combustion of food is 6000 kJ/kg, the heat of vaporisation of water is 2440 kJ/kg


Correct Answer: 0.46

Solution

Evaporating 0.8 kg of water takes $$0.8 \times 2440 = 1952\text{ kJ}$$. Since only $$70\%$$ of food energy is usable, the food must supply $$\frac{1952}{0.7} \approx 2789\text{ kJ}$$. The mass of food is $$\frac{2789}{6000} \approx 0.46\text{ kg}$$.

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