The concentration of a biomolecule inside a rod-shaped prokaryotic cell is 0.0051 m. calculate the number of molecules inside the cell, which is 2.4 μm long and 1.3 μm in diamete

The solution is as follows:

Volume of a rod = πr²h

Volume = π (1.3*10⁻⁶ m/2) ² (2.4*10⁻⁶ m)

Volume = 3.186*10⁻¹⁸ m³

Since 1 m³ = 1,000 L, the volume is equivalent to 3.186*10⁻¹⁵ L.

0.0051 mol/L * 3.186*10⁻¹⁵ L * 6.022*10²³ molecules/mole = 9,784,906.92 molecules