Certified Histocompatibility Specialist Practice Test

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What is the appropriate dilution volume required to achieve a working concentration of 40ng/ul from a 100ul stock solution at 167ug/ml?

418ul

To achieve a working concentration of 40 ng/µL from a stock solution of 167 µg/mL, it is essential to understand the relationship between concentration, volume, and dilution.

First, convert the stock concentration from µg/mL to ng/µL to make it compatible with the desired units. Since \(1 \, \text{µg/mL} = 1 \, \text{ng/µL}\), the stock concentration of 167 µg/mL is equivalent to 167 ng/µL.

Next, use the dilution formula, which can be expressed as follows:

\( C_1V_1 = C_2V_2 \)

Where:

- \( C_1 \): initial concentration (167 ng/µL)

- \( V_1 \): volume of the stock solution needed

- \( C_2 \): target concentration (40 ng/µL)

- \( V_2 \): final total volume of the diluted solution

We need to find \( V_2 \) in order to determine the dilution volume. Rearranged, the equation becomes:

\( V_2 = \frac{C_1V_1}{C_2} \

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