Go down to 33 feet of sea water, and now you are inhaling twice as many molecules with each breath--2 million molecules. Leaving the systemic capillaries, #P_"O₂"# = 40 - 50 mmHg. For example, air contains 21% oxygen. Dalton’s Law (also called Dalton’s Law of Partial Pressures) states that the total pressure exerted by the mixture of non-reactive gases is equal to the sum of the partial pressures of individual gases.

That means the partial pressure of oxygen is 0.21. Now the total pressure of the gases is 2.0 atmospheres. Air contains around 0.4% carbon dioxide so its partial pressure is 0.4 kPa. Because #P_"O₂"# in the systemic capillaries is greater than the partial pressure in the body cells, oxygen diffuses from the blood and into the cells. The oxygen partial pressure (pO 2), which is a key component of the physiological state of an organ, results from the balance between oxygen delivery and its consumption.In mammals, oxygen is transported by red blood cells circulating in a well-organized vasculature. Oxygen supply and diffusion into tissues are necessary for survival. At a pressure of 100 kPa (typical atmosphere) the partial pressure of oxygen would be 21 kPa. Oxygen is still 21% of that, but since there are 2 atmospheres instead of 1, the partial pressure of oxygen is 0.42. Mathematically, this can be stated as follows: [latex]{P}_{total} = {P}_{1}+{P}_{2}+…+\;{P}_{n}[/latex] where P 1, P 2 and P n represent the partial pressures of each compound. The partial pressure of oxygen required to half-saturate hemoglobin at $\mathrm{pH} 7.4$ is $3.7 \mathrm{kPa}$. The partial pressure of a gas in a mixture is the pressure it would exert if the others were not there.

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