It has been determined that the body can generate 5500 kJ of energy during one hour of strenuou

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It has been determined that the body can generate 5500 kJ...

It has been determined that the body can generate $5500 \mathrm{~kJ}$ of energy during one hour of strenuous exercise. Perspiration is the body's mechanism for eliminating this heat. How many grams and how many liters of water would have to be evaporated through perspiration to rid the body of the heat generated during two hours of exercise? (The heat of vaporization of water is $40.6 \mathrm{~kJ} / \mathrm{mol} .)$

Key Concepts

Conversion of Moles to Mass

Using the molar mass, one can convert the number of moles calculated from energy requirements into a mass measurement. This step is critical when translating theoretical energy values into practical amounts of a substance, such as water in the context of perspiration.

Heat of Vaporization

This is the energy required to convert a unit amount of a substance from a liquid to a gaseous state without a change in temperature. In problems involving the evaporation of water (like perspiration), it is crucial for relating the energy that needs to be dissipated to the amount of water that must evaporate.

Energy Calculation

In many scientific applications, energy produced or required during a process is calculated by multiplying the rate of energy generation by the time interval. This concept is fundamental in determining total energy expenditure during activities such as exercise.

Mole Concept

The mole is a key unit in chemistry that allows for the conversion between the number of particles and measurable quantities like mass. It plays an important role when linking the energy required for phase changes (expressed per mole) to the actual mass of the substance involved.

Density and Volume Conversion

Density, which relates mass to volume, enables the conversion of a calculated mass of a substance (like water) to its corresponding volume. Since water has a density of about 1 g/mL, this relationship is straightforward and essential for understanding how the mass of evaporated water translates to its volume in liters.

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