Test: MCAT Physical

Diffusion can be defined as the net transfer of molecules down a gradient created by differing concentrations of the molecule in different locations. This is a passive, spontaneous process and relies on the random movement of molecules and Brownian motion. Diffusion is an important biological process, especially in the respiratory system where oxygen diffuses from alveoli, the basic units of lung mechanics, to red blood cells in the capillaries.

Capture

Figure 1 depicts this process, showing an alveolus separated from neighboring cells by a capillary with red blood cells. The partial pressures of oxygen and carbon dioxide are given. One equation used in determining gas exchange is Fick's law, given by:


In this equation,  is the flow rate. Area and thickness refer to the permeable membrane through which the gas passesin this case, the wall of the alveolus.  and refer to the partial pressures upstream and downstream, respectively. , the diffusion constant of the gas, is defined as:


12.

At high altitudes, the partial pressure of oxygen quickly drops while that of carbon dioxide decreases by much less. Given the following table, at what elevation is the pressure gradient of oxygen equal to half that of carbon dioxide, assuming constant capillary partial pressures of oxygen and carbon dioxide of 50mmHg and 40mmHg, respectively?

Elevation (m)

PO2 (mmHg)

P­­CO2 (mmHg)

0

100

50

1000

80

40

2000

60

30

3000

40

20

4000

20 

10

5000

10

0

12/12 questions

91%
Learning Tools by Varsity Tutors