Recap: Boyles Law implies that as we go deeper the density of gas in our lungs increases(due to compression), Daltons law says that as density increases, the partial pressure is higher, and Henrys law says that the higher the partial pressure, the more you will in-gas.
Understand yet?
yes I understand... in fact, you may have just solidified my argument... my argument was that the original text said that he taught his students boyles law, and I said that that was not an accurate way to describe to students, or anyone, for that fact, why we on gas nitrogen...
because it simply doesn't matter... all we need to know about on-gassing and off gassing is that the pressure changes - it doesn't matter why the pressure changes, and it doesn't matter what the volume of the gas is either, it just matters that there is a pressure change...
when we talk decompression theory, henrys law is still the only thing we need to worry about teaching, because all students need to know is that pressure increases which causes the liquid (blood and tissues) to absorb nitrogen and any other gasses we breathe... trying to teach boyles law to describe this is completely inaccurate, because it is not the volume of air we breathe, but the pressure of the air we breathe...
take your recap, and delete boyles law from it - instead, we know that as we dive deeper, there is increased pressure on our bodies... as you said, daltons law says that the sum of the partial pressures in a gas is equal to the total pressure of the gas... we don't need to know from boyles why volume is affected other than when we calculate sac rates... we just need to know the pressure... so, 99 feet is 4 ata... simple... po2 = .21 x 4 = .84 pn2 = .79 x 4 = 3.16 nowhere in there does volume or density that we might have tried to find from boyles law apply... then we'd use henry's law to see what that 3.16 ata of N2 does as far as absorption into the bloodstream...
so, if you can tell me what we gain by figuring out boyles law when we do these calculations, then please, show me...