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If 5 molecules of a particular protein were present in an E. coli cell, what wou

ID: 1022807 • Letter: I

Question

If 5 molecules of a particular protein were present in an E. coli cell, what would be the nanomolar concentration of this protein? Assume an E. coli cell to be a cylinder 2.2 micrometers long and 1.09 micrometer in diameter. Report your answer to the nearest tenth of a unit, and for a hint, see the handout entitle Equations, Math Concepts, and Conversions on Canvas. Please note that the units are understood to be nanomolar (or nM), but just enter the numerical answer and not the units. I do not want people to miss this question because one person used "nanomolar" and another person used "nM".

Explanation / Answer

we have to find out

the volume of the E.coli cell = pi x r^2 x h= 3.14 x ( 1.09 / 2 )^2 x 2.2 mm3

= 2.0525 mm3

we have = 5.0 molecules per 2.0525 mm3

= 2.436 x 10^15 per dm3

Divided by avagadro's constant:

we get
molar concentration = 2.436 x 10^15 per dm3 / 6.023 x 10^23 per mol

= 4.0 x 10^-9 mol/dm3

= 4.0 nanomolar

or = 4.0 nM