Question

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.

Answer 1

`6.32 * 10^(15)`

Step-by-step explanation:

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

Here
`= 0.0019 * 3.324 * 10^(18)\\= 6.32 * 10^(15)`

Molar concentration
`= 0.0019` M

The dimensions of bacterial cell are as follows

Diameter
`= 1.1` μm

and length of the bacterial cell
`= 3.5` μm

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

Thus, volume
`= \pi * r^2 * h\\`

Substituting the given values in above equation, we get -

`= 3.14 * ((1.1)/(2) )^2 * 3.5\\`

`= 3.324` μm^3

Number of molecules

`= 0.0019 * 3.324 * 10^(18)\\= 6.32 * 10^(15)`