Question

You have a stock solution that is 226mg/mL and you need 10mL of a working solution that is 15mg/mL. What is the volume of stock solution will you need to dilute to have 10mL of working solution at the above concentration. State your answer to two decimals.

Answer 1

To dilute the stock solution to a working solution with a concentration of 15mg/mL and a volume of 10 mL, you would need to use approximately 0.66 mL of the stock solution.

Step-by-step explanation:

To calculate the volume of stock solution needed to dilute to a working solution, we can use the formula:

(Concentration of Stock Solution) x (Volume of Stock Solution) = (Concentration of Working Solution) x (Volume of Working Solution)

Plugging in the given values:

(226 mg/mL) x (Volume of Stock Solution) = (15 mg/mL) x (10 mL)

Solving for the Volume of Stock Solution:

Volume of Stock Solution = (15 mg/mL) x (10 mL) / (226 mg/mL) = 0.6637 mL

Answer 2

Answer: 0.67 ml

Step-by-step explanation:

According to the dilution law,

`C_1V_1=C_2V_2`

where,

`C_1` = concentration of stock solution = 226 mg/ml

`V_1` = volume of stock solution = ?

`C_2` = concentration of working solution= 15 mg/ml

`V_2` = volume of working solution= 10 ml

Putting in the values we get:

`226mg/ml* V_1ml=15mg/ml* 10ml`

`V_1=0.67ml`

Thus volume of stock solution needed to dilute to have 10mL of working solution at the above concentration is 0.67 ml