Week 1 Lab: Pipetting

Performing Serial Dilution

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Dilution Practice 1

Dilution Practice 2

  1. The stock concentration of a mystery substance (MS) is 5 M. If the molar mass of MS is 532 g/mol, what’s the concentration of the stock concentration in g/mL? To make your life easier, you can use one of many online calculators.

Answer 1:
The stock concentration of MS is 2.66 g/mL.
Steps:
1. Convert moles to grams. A 5 M solution contains 5 moles per liter: 5 mol/L * 532 g/mol = 2660 g/L
2. Convert grams per liter to grams per milliliter: 2660 g / 1000 mL = 2.66 g/mL

  1. You will perform a serial dilution to get 100 uM of MS. Devise a plan to dilute a 5 M MS solution to 100 uM. How many dilution steps will we need? Which tubes should we use? Which pipettes?

Answer 2:
Three dilution steps are needed using P10 & P1000 pipettes with three 1.5 mL microcentrifuge tubes.
Steps:
1. Calculate the total dilution factor.
5 M = 5 mol/L. The target is 100 µM = 1 × 10-4 mol/L. Total dilution factor = (5 mol/L) / (1 × 10-4 mol/L) = 50,000.
2. Break this into three steps.
50,000 = 100 × 100 × 5, so we will do a 1:100 dilution, then another 1:100 dilution, then a 1:5 dilution.
3. Use three 1.5 mL microcentrifuge tubes (Tube 1, Tube 2, Tube 3).
Tube 1: 1:100 dilution from the 5 M stock. Add 990 µL diluent + 10 µL of 5 M MS (P1000 + P10).
   Final concentration in Tube 1 = (5 M) / 100 = 0.05 M = 50 mM.
Tube 2: 1:100 dilution from Tube 1. Add 990 µL diluent + 10 µL from Tube 1 (P1000 + P10).
   Final concentration in Tube 2 = (50 mM) / 100 = 0.5 mM = 500 µM.
Tube 3: 1:5 dilution from Tube 2. Add 800 µL diluent + 200 µL from Tube 2 (both with P1000).
   Final concentration in Tube 3 = (500 µM) / 5 = 100 µM.<br

  1. Fill out the following chart to prepare a final reaction with 60 uL reaction volume. Why did we make 100 uM MS if we actually need 40 uM MS? Why not prepare 40 uM in serial dilutions?
ReagentStock concentrationDesired concentrationVolume in 60 µL reaction
Loading dye6X1X10 µL
MS100 µM40 µM24 µL
dH2On/an/a26 µL

Answer 3 Part 1 -
Check with C1V1 = C2V2:

  • Loading dye: (6X) · V1 = (1X) · (60 µL) → V1 = 10 µL
  • MS: (100 µM) · V1 = (40 µM) · (60 µL) → V1 = (40/100) · 60 µL = 24 µL
  • dH2O: 60 µL total − 10 µL dye − 24 µL MS = 26 µL

Answer 3 Part 2 -
We made 100 µM MS as a working stock because:

1. Pipetting accuracy: It’s much easier and more accurate to pipette volumes like 10–25 µL from a 100 µM stock than to pipette tiny volumes from a much more dilute 40 µM stock.

2. Flexibility: A 100 µM stock can be used to make many different final concentrations (e.g., 10, 20, 40, 50 µM) simply by adjusting the volume added. A 40 µM stock would only be useful for reactions requiring exactly 40 µM.

3. Separation of tasks:
Preparing a 100 µM intermediate stock allows you to complete the serial dilution step once. After that, setting up reactions becomes a simple mixing step rather than repeating dilution calculations every time.

4. Cleaner math for the final mix: Using a 100 µM stock makes the final reaction calculation simple. Going from 100 µM to 40 µM in a 60 µL reaction is a single C1V1 = C2V2 step, and it uses pipetting volumes that are accurate and easy to measure.