Number of breaths required to burn 2.5 kg mass of fat is 175000 breaths.
The mass of carbon dioxide in one breath is calculated as follows:
Volume of Carbon dioxide in one breath = 4% * 500
Volume of Carbon dioxide in one breath = 20 mL = 2 * 10⁻⁵ m³
Density of carbon dioxide = 2.0 kg/m³
Mass of carbon dioxide in one breath = 2 * 10⁻⁵ m³ * 2.0 kg/m³
Mass of carbon dioxide in one breath = 4 * 10⁻⁵ kg
Mass of carbon dioxide to be exhaled to burn 2.5 kg of fat = 2.8 kg * 2.5 = 7 kg of carbon dioxide.
Number of breaths required = 7 kg/4 * 10⁻⁵ kg
Number of breaths required = 175000 breaths
In conclusion, the mass of carbon dioxide in one breath determines the number of breaths required to burn 2.5 kg of fat.
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