Question: Making use of these two expressions for alveolar partial pressures for CO2 and O2 as a function of ventilation-perfusion ratio, develop a relationship between Pa,CO2 and Pa,O2 (please use algebra). Values Given: σO2 = 1.4 x 10-6 M/mmHg σCO2 = 3.3 x 10-5 M/mmHg Wv = 5.6 x 10-5M WA = σO2*Pa,O2(so, WA varies) KO2 is 4.2 x 10-5M ZO = 2.2 mM = 0.0022 M RT = 1.7x104 mmHg/M Kc = 9.46 PV,O2 , PV,CO2 and Pi,O2 can be assumed constant and you should estimate these.

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Question: Making use of these two expressions for alveolar partial pressures for CO2 and O2 as a function of ventilation-perfusion ratio, develop a relationship between Pa,CO2 and Pa,O2 (please use algebra).

Values Given:

σO2 = 1.4 x 10-6 M/mmHg
σCO2 = 3.3 x 10-5 M/mmHg

Wv = 5.6 x 10-5M
WA = σO2*Pa,O2(so, WA varies)
KO2 is 4.2 x 10-5M
Z= 2.2 mM = 0.0022 M
RT = 1.7x104 mmHg/M
Kc = 9.46
PV,O2 , PV,CO2 and Pi,O2 can be assumed constant and you should estimate these.  

V
Q
RT
P₁,02 - Pa,02
10
{w₂
Wa - W₂ +4Zo
Q
WA
a
K2 + Wa
WA
V + W₂]}
V (c₂-ca)RT co2 (1+ Kc) [Pv,co2 - Pa,co2]RT
Pa - Pi
Pa,co2
K₂ + W₂4
02
Transcribed Image Text:V Q RT P₁,02 - Pa,02 10 {w₂ Wa - W₂ +4Zo Q WA a K2 + Wa WA V + W₂]} V (c₂-ca)RT co2 (1+ Kc) [Pv,co2 - Pa,co2]RT Pa - Pi Pa,co2 K₂ + W₂4 02
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