Dopamine is a potent drug administered intravenously to increase blood pressure in seriously ill patients. How many milliliters of a 4.0% (w/v) solution must be used to prepare 250 mL of a 0.080% (w/v) solution?

Question

Dopamine is a potent drug administered intravenously to increase blood pressure in seriously ill patients. How many milliliters of a 4.0% (w/v) solution must be used to prepare 250 mL of a 0.080% (w/v) solution?
Analysis
Since we know an initial concentration ([latex]C_{1}[/latex]), a final concentration ([latex]C_{2}[/latex]), and a final volume ([latex]V_{2}[/latex]), we can calculate the volume ([latex]V_{1}[/latex]) of the initial solution that must be used with the equation, [latex]C_{1}V_{1} = C_{2}V_{2}[/latex].

Accepted Answer

[1] Identify the known quantities and the desired quantity.

[latex]C_{1}[/latex] = 4.0% (w/v) [latex]C_{2}[/latex] = 0.080% (w/v)
[latex]V_{2}[/latex] = 250 mL
known quantities

[latex]V_{1}[/latex] = ?
desired quantity

[2] Write the equation and rearrange it to isolate the desired quantity, [latex]V_{1}[/latex], on one side.

[3] Solve the problem.
• Substitute the three known quantities into the equation and solve for [latex]V_{1}[/latex].

Question 7.sp.11: Dopamine is a potent drug administered intravenously to incr...

Related Answered Questions