How would you make a serial dilution if you have a starting value 100mM of X

The are the values of X show different dilutions.
Volume variables (x) mL
0
1
3
1
10
30
100

We starting out with 100mM of X which would be considered its concentration. In order to describe how to do a serial dilution I need to figure out the dilution factor from the volume variables. She wants us to describe how when starting from 100mM of concentration we can obtain those volumes.

Df1= 100ml/30mL = 3.333
Df2= 30mL/ 10= 3
Df3= 10mL/3= 3.333
Df4= 3/1 = 3
Df5= 3/1= 3
so I guess she wants us to work our way from the bottom up so I obtained a dilution factor of 3.333 and 3.

to find out the concentration I have the formula

C= C1/Dfactor
C= 100mM/ 3.333= 30.03mM

how would we describe doing this dilution. From the 30.0mM concentration we add 3.3333 mol per liter. As you see I am still confused. I have no way of asking her for explaination, so If any help could be proivded I would appreciate it.

To perform the serial dilution and obtain the desired volumes and concentrations, you can follow these steps:

1. Prepare a series of dilution tubes or plates labeled with the corresponding volume variables (0, 1, 3, 1, 10, 30, and 100).

2. Begin with the initial concentration of 100 mM of X.

3. For the first dilution (volume variable x = 100 mL), take 100 mL of X and add it to a new container. This will be your stock solution for further dilutions.

4. To obtain the next concentration (volume variable x = 30 mL), you need to dilute the stock solution. Take 30 mL of the stock solution and add it to a new container. Calculate the dilution factor (Df) by dividing the initial volume by the added volume: Df1 = 100 mL / 30 mL = 3.333. The new concentration is obtained by dividing the initial concentration by the dilution factor: C1 = 100 mM / 3.333 = 30.03 mM.

5. Repeat step 4 for the remaining volume variables, adjusting the added volume and calculating the new concentration accordingly:

- For x = 10 mL: Take 10 mL of the previous dilution and add it to a new container. Df2 = 30 mL / 10 mL = 3. The new concentration is C2 = C1 / Df2 = 30.03 mM / 3 = 10.01 mM.

- For x = 3 mL: Take 3 mL of the previous dilution and add it to a new container. Df3 = 10 mL / 3 mL = 3.333. The new concentration is C3 = C2 / Df3 = 10.01 mM / 3.333 = 3.003 mM.

- For x = 1 mL: Take 1 mL of the previous dilution and add it to a new container. Df4 = 3 mL / 1 mL = 3. The new concentration is C4 = C3 / Df4 = 3.003 mM / 3 = 1.001 mM.

- For x = 10 mL: Take 10 mL of the previous dilution and add it to a new container. Df5 = 3 mL / 1 mL = 3. The new concentration is C5 = C4 / Df5 = 1.001 mM / 3 = 0.333 mM.

- For x = 30 mL: Take 30 mL of the previous dilution and add it to a new container. Df6 = 10 mL / 3 mL = 3.333. The new concentration is C6 = C5 / Df6 = 0.333 mM / 3.333 = 0.1 mM.

- For x = 100 mL: Take 100 mL of the previous dilution and add it to a new container. Df7 = 30 mL / 10 mL = 3. The new concentration is C7 = C6 / Df7 = 0.1 mM / 3 = 0.0333 mM.

By following these steps, you can perform a serial dilution starting with a concentration of 100 mM and obtain the desired volumes and concentrations indicated in the list you provided.