Which type of respiration?
Boyle's Law is not easily applicable to physiological respiration, i.e. breathing, due to the constraints of fixed moles and temperature for the equation to make sense. The temperature of gasses in your lungs is generally different than the temperature of the surrounding air (because your body warms the air in your lungs), and as you breathe air in and out the molality of the gasses in your lungs changes.
To apply Boyle's Law to your lungs, you could in theory obtain a limited application by holding your breath, then flexing your diaphragm.
Volume at constant temperature
By Boyle's law the product of the pressure and volume at a fixed temperature will remain constant.
It can alternatively be stated as
Pressure (at fixed temperature) is proportional to the reciprocal of the volume.
or
P1V1 = P2V2
or, in it's initial form
"For a fixed amount of an ideal gaskept at a fixed temperature, pressure and volume are inversely proportional"
Boyle's law is representative of all parts of all the alveoli getting oxygen. The lung fills uniformly with equal pressure on all surfaces.
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Robert Boyles ...Boyles law which states the principle that at a constant temperature the volume of a confined ideal gas varies inversley with its pressure.
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