We’re asked to determine the minimum number of cubic nanocontainers that a person would need in their bloodstream to provide 1 hour worth of oxygen, O2., given that the edge length of each nanocontainer is 24 nm.
For this problem, we need to do the following steps:
Step1. Determine the volume of 1 nanocontainer.
Recall that the equation for finding the volume of a cube is given by:
where l = edge length
Step 2. Determine oxygen, O2 requirement per hour in the bloodstream for a person.
A human being uses about 550 liters of pure oxygen or 19 ft3 (cubic feet) per day. (based on literature)
Step 3. Determine minimum # of nanocontainers that will supply the oxygen needed per hour
Nanotechnology, the field of trying to build 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 bodys oxygen transporters. For example, nanocontainers, perhaps constructed of carbon, could be pumped full of oxygen and injected into a persons 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 24 nanometers.
What is the minimum number of nanocontainers that a person would need in their bloodstream to provide 1 hours worth of oxygen?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Dimensional Analysis concept. You can view video lessons to learn Dimensional Analysis. Or if you need more Dimensional Analysis practice, you can also practice Dimensional Analysis practice problems.