Answer : 78500 molecules of dye would be needed to visualize a single egg.
Explanation : An single egg cell has an diameter of 100 μm which is an approximate value.
To calculate the area of the cell membrane we can use this formula.
A = π [tex] (100)^{2} / 4 [/tex];
Therefore, A = 3.14 X [tex] (100)^{2} / 4 [/tex]
So, A = 7850 μ[tex]m^{2}[/tex]
Now. to calculate the amount of dye molecules needed for 10 fluorescent molecules / μ[tex]m^{2}[/tex]
will be;
as 1 μ[tex]m^{2}[/tex] = 7850 μ[tex]m^{2}[/tex] dye molecules.
Then 10 fluorescent molecules will need;
7850 X 10 = 78500 molecules of dye.
Therefore, the answer is 78500 molecules of dye.