00:01
First, we'll calculate the concentration of the diluted caffeine solution using beer's law.
00:07
Absorbance is equal to molar absorptivity multiplied by b, the path length, and c, the concentration.
00:15
Rearrangement gives us concentration in units of molarity equal to absorbance divided by molar absorptivity and path length.
00:23
The molar absorptivity and absorbance values along with the path length were provided.
00:28
If we plug them in, we get the 0 .463 divided by 9 ,841, 1 over molar centimeters, multiplied by 1 centimeter.
00:41
And we get 4 .70 times 10 to the negative 5 molar.
00:47
This, however, was from the diluted solution.
00:50
So we'll do a backwards m1v1 equals m2v2 calculation and solve for m1, which will be the concentration of the concentrated solution before dilution...