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The concentration of a biomolecule inside a rod‑shaped prokaryotic cell is 0.0019 M. Calculate the number of molecules inside the cell, which is 3.5 μm
long and 1.1 μm in diameter.

Respuesta :

Answer:

[tex]6.32 * 10^{15}[/tex]

Explanation:

The molar concentration is defined as the number of moles of a substance in one unit volume of a solution

Here [tex]= 0.0019 * 3.324 * 10^{18}\\= 6.32 * 10^{15}[/tex]

Molar concentration [tex]= 0.0019[/tex] M

The dimensions of bacterial cell are as follows

Diameter [tex]= 1.1[/tex] μm

and length of the bacterial cell  [tex]= 3.5[/tex] μm

The volume of the solution is equal to product of area and the length

Thus, volume [tex]= \pi * r^2 * h\\[/tex]

Substituting the given values in above equation, we get -

[tex]= 3.14 * (\frac{1.1}{2} )^2 * 3.5\\[/tex]

[tex]= 3.324[/tex] μm^3

Number of molecules

[tex]= 0.0019 * 3.324 * 10^{18}\\= 6.32 * 10^{15}[/tex]