Table 5.

Model 3 (Eq. 3) density effects on O₂ and CO₂ solubility over 25–45°C using ρ_w = 0.99332 g/ml, ρ_s = 0.99933 g/ml, and ρ_pl = 1.020 g/ml at 37°C

Gas/Solution	C1, ml gas·ml fluid−1·760 mmHg−1	k1, 1/°C	C2, ml gas·ml fluid−1·760 mmHg−1	k2, 1/°C	γ	β	Density Scalar $\left[1-\text{γ}\cdot {\left(\frac{{\text{ρ}}_{\text{sol}}-{\text{ρ}}_{\text{w}}}{{\text{ρ}}_{\text{w}}}\right)}^{\text{β}}\right]$	Overall RMSE	Overall NRMSE
O2
Water	0.0328	0.0398	0.0163	0.0	0.59	0.497	1	1.4E-04	2.5E-05
Saline							0.9534	3.7E-05
Plasma							0.9023	8.8E-05
CO2
Water	1.052	0.0571	0.6821	0.012	2.256	0.877	1	8.7E-04	1.4E-03
Saline							0.974	1.7E-03
Plasma							0.905	3.2E-03