Suppose that you are climbing a high mountain and the oxygen partial pressure in the air is reduced to 75 torr. Estimate the percentage of the oxygen carrying capacity that will be utilized, assuming that the pH of both tissues and lungs is 7.4 and that the oxygen concentration in the tissues is 20 torr.Please show all work. I need to know how to work this problem out. The answer is 62.7%. Please show all work and I will award 5 stars.

Respuesta :

Explanation:

The given data is as follows.

         Initial atmospheric pressure of the O = 760 torr

The partial pressure of [tex]O_{2}[/tex] = [tex]760 torr \times \frac{22}{100}[/tex]            

                                                  = 167.2 torr

Partial pressure of oxygen ([tex]O_{2}[/tex]) in the blood is 20 torr.

Therefore, calculate the carrying capacity as follows.

         Carrying capacity = [tex]\frac{(167.2 torr - 20 torr) - (75 torr - 20 torr)}{(167.2 torr - 20 torr)} \times 100[/tex]

                                        = [tex]\frac{147.2 torr - 55 torr}{147.2 torr}\times 100[/tex]

                                        = 0.6263

or,                                     = 62.6%

Thus, we can conclude that the oxygen carrying capacity is 62.6%.