Final answer:
The final concentration of a solution that has been diluted is found by dividing the initial concentration by the dilution factor. In this case, to achieve a 0.0001x solution from a 1x solution, one would divide by 10,000, thus option a) Final Concentration = Initial Concentration / 10000 is correct.
Step-by-step explanation:
To illustrate mathematically how a 1x solution was turned into a 0.0001x solution using dilution factors, the correct option is:
a) Final Concentration = Initial Concentration / 10000
This means that if you have a solution with an initial concentration and you want to dilute it to a final concentration that is 10,000 times less concentrated, you would divide the initial concentration by 10,000. The dilution factor here is 10,000, because the initial solution's concentration is reduced by a factor of 10,000 to achieve the desired final concentration.
For example, if we start with a 10% initial solution and perform logarithmic dilution, which reduces the concentration of the solution by a factor of 10 for each dilution step, after four steps of dilution (10x10x10x10), we will have diluted the solution 10,000 times, thus achieving a 0.0001x final concentration from the original 1x.