Final answer:
To calculate the number of milliliters (mL) of the diluted solution that can be prepared from 53.0 mL of a 15.0% (m/v) solution of the medication, you can use the formula C₁V₁ = C₂V₂. However, without the value of V₂, it is not possible to calculate the number of milliliters of the diluted solution.
Step-by-step explanation:
To calculate the number of milliliters (mL) of the diluted solution that can be prepared from 53.0 mL of a 15.0% (m/v) solution of the medication, you can use the formula C₁V₁ = C₂V₂. In this case, C₁ represents the concentration of the stock solution (15.0% (m/v)), V₁ represents the volume of the stock solution you want to find, C₂ represents the desired concentration of the diluted solution (1.91% (m/v)), and V₂ represents the final volume of the diluted solution you want to prepare. Rearranging the equation, you get: V₁ = (C₂V₂) / C₁
Substituting the given values:V₁ = (1.91% (m/v) × V₂) / 15.0% (m/v)
To calculate V₁, you need to know the value of V₂, which is not given in the question. Without the value of V₂, it is not possible to calculate the number of milliliters of the diluted solution that can be prepared from 53.0 mL of the stock solution.