An E. coli cell contains about 15,000 ribosomes, which carry out protein synthesis. Assuming ribosomes are spherical and have a diameter of 20.0 nm, calculate the fraction of the E. coli cell volume that is occupied by ribosomes.
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Ответ:
14.57%
Explanation:
From the previous lesson, we understood that the Volume of E.coli = 4.13 × 10⁻¹⁹ m³
The diameter of the ribosome = 20 nm
Radius will be D/2 = 20 nm/2 = 10 nm
The volume of the sphere since the shape of the ribosome is spherical = 4πr³
∴
The volume for each ribosome = 4πr³
For 15000 ribosome, we have:
= 6.283 × 10⁻²⁰
Thus, the fraction of E.coli volume occupied by the ribosome can be determined by using the formula:
= 14.57%
Ответ: