High School

A cell membrane is 8.0 nm thick. How thick is it in inches? (1 m = 39.4 in)

a) \(3.15 \times 10^{-6}\) inches
b) 0.314 inches
c) \(2.04 \times 10^{-5}\) inches
d) 0.019 inches

Answer :

Final answer:

The thickness of a cell membrane is 8.0 nm, which converts to 3.15 x 10^-7 inches using the conversion rate of 1 meter equaling 39.4 inches. The choices given in the question do not match this calculation.

Explanation:

The question asks how thick a cell membrane is in inches if it is 8.0 nm thick. To convert nanometers to inches, we can use the given conversion rate of 1 meter equals 39.4 inches. First, we convert the membrane thickness from nanometers (nm) to meters (m) by remembering that 1 meter is 1,000,000,000 nanometers. Therefore, 8.0 nm is 8.0 x 10-9 meters. Then, we convert this to inches using the given conversion rate:

8.0 x 10-9 meters x (39.4 inches / 1 meter) = 315.2 x 10-9 inches

This simplifies to 3.15 x 10-7 inches. However, since this is not an option given in the question, there may be a miscalculation or misprint in the provided choices. It's recommended to check the available options and potentially advise on recalculating if necessary.

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