Answer:
Diffusion rate is 1.96 × [tex]10^{-3}[/tex] [tex]cm^{2}[/tex]/s
Explanation:
Diffusion is the process in which the molecules of a substance propagates from a region of higher concentration to region of lower concentration through a semi-permeable membrane.
diffusion rate = [tex]\frac{area}{time}[/tex]
Given that; diameter = 15 mm, time = 15 minutes.
The dye spread in a circular form, so that;
area = [tex]\pi[/tex][tex]r^{2}[/tex]
r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{15}{2}[/tex] = 7.5 mm = 0.75 cm
area = [tex]\frac{22}{7}[/tex] × [tex](0.75)^{2}[/tex] = 1.7679 [tex]cm^{2}[/tex]
time = 15 minutes = 15 × 60 = 900 seconds
So that;
diffusion rate = [tex]\frac{1.7679}{900}[/tex]
= 0.0019643 [tex]cm^{2}[/tex]/s
Diffusion rate is 1.96 × [tex]10^{-3}[/tex] [tex]cm^{2}[/tex]/s