I revised the calculation. The result is the same, at the end of the dive the two divers have different quantity of N2.
How two divers on same dive end up with different N2?
Peter is 275lbs or 124kg and has Body Fat of 20% (BFP) with 25kg of fat and Paul has 35% BFP at 200lbs or 90kgs, is obese with 31.5 kg fat.
Concentration:
For each diver, how many grams of N2 are dissolved in in 1 liter of compartment F with Half Time 120 minutes (HT) at given constant temperature? Dive depth is 30 meters or 100ft.
Given KH of N2 in aqueous solution = 1600 atm/(mol/liter)
At equilibrium (saturation) the concentration is directly proportional to the partial pressure of N2 in the solution.
P=KHC
C=P/KH
C=4 atm / 1600 atm/(mol/L)
C=0.0025 mol/L
Amount in given size:
Convert to grams:
mass of one mole of N2=28g
g of N2 = mol N2 x 28
= 0.0025 x 28 g/mol
= 0,07g
1L of fat = 900g fat
1L of fat will hold 0,063g N2 when saturated at 30 meters or 100ft.
Peter: 900g fat tissue hold 0,063g N2, 2500g hold 1,75g
Paul: 900g fat tissue hold 0,063g N2, 3100g hold 2,17g
Once saturation is reached, it is reached, Peter's and Paul's compartment F won't hold more than what they can respectively.
So after 40 minutes of dive time, 30m-100ft, how much is the residue N2?
In this dive one whole HT period is not yet reached, the dive is 40 minutes so far, one half time is 120 minutes.
To build the table we take some values as anchor points:
F initial(g) time HT remains(g)
Peter 1600 120 120 800
Paul 2000 120 120 1000
Then:
120 minute compartment F
minutes %HT
40 20 <---
80 40
120 50
240 75
360 87.5
600 97,76
720 96.80
840 98.44
24h 100?
48h 100
Peter: saturation is 20% of 1.75g = 0.35g N2
Paul: saturation is 20% of 2.17g = 0.434g N2
Paul has more gas in his body as predicted. Different absolute N2 mass or volume between the divers before starting ascent.
Is this relevant after the dive?
Can become relevant for repetitive dives?
One could proceed to calculate the second diver's residual N2 dive after day by day after a weeks holiday.
I think the point is made.
A. Paul has more gas than Peter, which could lead to start bubbling before Peter would.
B. Peter and Paul's computers display the same residue N2, where it could be more accurate.
For "A," there are settings than can be adjusted (GF high, GF low) to mitigate the risk of bubbling,
there are no dive planning adjustments for surfacing M-values for "B.", in the current model.
Right now divers follow recommendations to be conservative.
Objections? Flaws?
Safe diving!