The concentration of a biomolecule inside a rod-shaped prokaryotic cell is 0.004

Question

The concentration of a biomolecule inside a rod-shaped prokaryotic cell is 0.0043 M. Calculate the number of molecules inside the cell, which is 3.2 pm long and 1.6 km in diameter. Number 1.665 x 10 13 molecules O Previous ® Give Up & View Solution e Again Next Try Explanation Find the volume of the cell in liters. Vis the volume, ris the radius of the rod-shaped cell, and his the height or length of the cell. Remember that the radius is half the diamter, or 0.80 pm. lt may be helpful to calculate the volume in cubic centimeters (1 um 1x10 cm) and then convert to liters. There are 1x 10 cm in 1 L ofthe Next, calculate moles of the molecule in the cell. That is, convert molt to moles, using the volume 0,0043 cell in Finally, use Avogadro's number to convert moles to molecules.

Explanation / Answer

Volume of the rod shaped cell = pi*d2/4*l

Here, pi = 3.14, d = diameter = 1.6 um, l = length = 3.2 um

Putting values we get:

Volume of a single cell = 6.43*10-18 m3

Number of moles of biomolecule present in cell = conc. * volume = 0.0043 * 6.43*10-18 = 0.027*10-18 moles

1 mole = 6.023*1023 molecules

So total molecules present = 0.027*10-18 * 6.023*1023 = 1.665*104 molecules

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