Answer: This rod-shape prokaryotic cell has 3.740,734725 molecules
Explanation:
<u>Step 1 :</u> given data
Molarity of the prokaryotic cell = 0.0035 M
Length of the cell = 4.2 μm = 4.2 * 10^-6 m
diameter of the cell = 1.3 μm = 1.3 * 10^-6 m
<u>Step 2: </u>calculate volume
To calculate volume of a rod, weneef to know the radius.
V
=
r
²
×
l
The radius = half of the diameter : r = d/2 ⇒ (1.3 * 10^-6 m)/2 = 0.65 * 10^-6 m
V= (0.65 * 10^-6 m)² * 4.2 * 10^-6 m = 1.7745 * 10 ^-18 L
<u>Step 3:</u> Calculating number of moles
Number of moles = Concentration * Volume
moles = 0.0035 M * 1.7745 * 10 ^-18 L = 6.21075 * 10^-21 moles
<u>Step 4:</u> calculating number of molecules
1 mole contains 6.023 * 10 ^-23 molecules
6.21075 * 10^-21 moles contain : 6.21075 * 10^-21 * 6.023 * 10 ^-23 molecules = 3.740,734725 molecules
This rod-shape prokaryotic cell has 3.740,734725 molecules
