Let V represent the volume of a lung and c the concentration of some chemical inside. Suppose the internal surface area is proportional to volume and that a lung with volume 400 cm3 has a surface area of 100 cm2. The lung absorbs the chemical at a rate per unit surface area of

Time is measured in seconds, surface area in cm2, and volume in cm3. The parameter α takes on the value 6.0 in the appropriate units.
a. Find surface area as a function of volume. Make sure your dimensions make sense.
b. What are the units of R? What must be the units of α?
c. Suppose that c = 1.0 × 10ˆ’2 and V = 400.0 cm3. Find the total amount of chemical absorbed.
d. Suppose that c = 1.0 × 10ˆ’2. Find the total chemical absorbed as a function of V.

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