Nanotechnology, the field of building ultrasmall structures one atom at a
time, has progressed in recent years. One potential application of
nanotechnology is the construction of artificial cells. The simplest cells
would probably mimic red blood cells, the body's oxygen transporters.
Nanocontainers, perhaps constructed of carbon, could be pumped full of oxygen
and injected into a person's bloodstream. If the person needed additional
oxygen - due to a heart attack perhaps, or for the purpose of space travel-
these containers could slowly release oxygen into the blood, allowing tissues
that would otherwise die to remain alive. Suppose that the nanocontainers were
cubic and had an edge length of \(25 \mathrm{nm}\).
a. What is the volume of one nanocontainer? (Ignore the thickness of the
nanocontainer's wall.)
b. Suppose that each nanocontainer could contain pure oxygen pressurized to a
density of \(85 \mathrm{~g} / \mathrm{L}\). How many grams of oxygen could each
nanocontainer contain?
c. Air typically contains about 0.28 g of oxygen per liter. An average human
inhales about \(0.50 \mathrm{~L}\) of air per breath and takes about 20 breaths
per minute. How many grams of oxygen does a human inhale per hour? (Assume two
significant figures.)
d. What is the minimum number of nanocontainers that a person would need in
his or her bloodstream to provide 1 hour's worth of oxygen?
e. What is the minimum volume occupied by the number of nanocontainers
calculated in part d? Is such a volume feasible, given that total blood volume
in an adult is about \(5 \mathrm{~L} ?\)