determine the volume of 45mM ethanol needed to make 1700 microliters that has a final ethanol concentration of 26.5mM?

Use c1v1 = c2v2

1700 x 26.5 = 45 x uL
Solve for uL.

To determine the volume of 45mM ethanol needed to make 1700 microliters with a final concentration of 26.5mM, we can use the concept of dilution.

The formula for dilution is:

C1V1 = C2V2

Where:
C1 = initial concentration of the solute (before dilution)
V1 = initial volume of the solute (before dilution)
C2 = final concentration of the solute (after dilution)
V2 = final volume of the solute (after dilution)

Let's plug in the values given in the question:

C1 = 45mM
V1 = unknown (we need to find this)
C2 = 26.5mM
V2 = 1700 microliters

Now we can rearrange the formula to solve for V1:

V1 = (C2 * V2) / C1

V1 = (26.5mM * 1700 microliters) / 45mM

Before we proceed, note that the units of mM and microliters need to be converted to a consistent unit. Let's convert everything to milliliters (mL):

V1 = (26.5mM * 1.7 mL) / 45mM

Simplifying further:

V1 = 995 mL / 45

V1 ≈ 22.11 mL

Therefore, approximately 22.11 mL of 45mM ethanol is needed to make 1700 microliters with a final ethanol concentration of 26.5mM.