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\( t \) (i) How much diluent (in milliliters) must be added to prepare a 500,000 units \( / \mathrm{mL} \) strength? \( \square \) mL eBook

Ask by Higgins Gibbs. in the United States
Mar 14,2025

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To prepare a 500,000 units/mL solution, you need to know the concentration of the diluent. Without that information, it's impossible to determine how much diluent to add.

Solución

To determine how much diluent must be added to prepare a 500,000 units/mL strength, we need to know the concentration of the diluent and the desired final concentration. Let's assume the concentration of the diluent is \( C \) units/mL and the desired final concentration is 500,000 units/mL. The formula to calculate the amount of diluent to be added is: \[ \text{Amount of diluent} = \frac{\text{Desired final concentration} - \text{Initial concentration}}{\text{Concentration of diluent}} \] Given: - Desired final concentration = 500,000 units/mL - Initial concentration = 0 units/mL (assuming the diluent is added to a solution with no initial concentration) We need to find the concentration of the diluent (\( C \)). Let's denote the amount of diluent to be added as \( x \) mL. The formula becomes: \[ x = \frac{500,000 - 0}{C} \] To find the concentration of the diluent, we need more information about the initial concentration of the solution or the concentration of the diluent. Please provide the initial concentration of the solution or the concentration of the diluent to proceed with the calculation.

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Bonus Knowledge

To prepare a 500,000 units/mL strength, you need to know the total amount of units you want to achieve and the concentration of your starting solution. Suppose you’re starting with a higher concentration, like 1,000,000 units/mL. If you want to prepare 10 mL of the desired dilution, you will need to mix 5 mL of the original solution with 5 mL of diluent. Always remember, the amount of diluent you need will vary based on your starting concentration! A common mistake in dilution calculations is forgetting to account for the final volume when calculating how much diluent to add. It’s crucial to remember that the total volume after diluting is equal to the desired final volume. Make sure to track your units and volumes carefully to achieve the correct concentration!

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