What volume,in mL of a 10% potassium chloride solution supplying 20 mEq/15 mL is needed to provide one 15 mEq dose of KCl?

Rationale

11.25 mL of a 10% potassium chloride solution is needed to provide one 15 mEq dose of KCl.

To determine the necessary volume of a 10% potassium chloride solution to provide a 15 mEq dose of KCl, we can use the information that 20 mEq is supplied in 15 mL. By calculating the concentration, we find that 15 mL provides 20 mEq, implying that 1 mL provides 1.33 mEq. Thus, to find the volume for 15 mEq, we use the ratio to determine that 11.25 mL is required.

A (8 mL) YOUR ANSWER

If 8 mL of the solution were used, it would provide only 10.67 mEq of KCl (8 mL x 1.33 mEq/mL), which is insufficient for the required 15 mEq dose. Thus, this choice is too low.

B (11.25 mL) CORRECT

This choice correctly calculates the required volume based on the concentration of the solution. Since 1 mL provides approximately 1.33 mEq, multiplying this by 11.25 mL yields the necessary 15 mEq dose, confirming this as the correct answer.

C (15 mL) YOUR ANSWER

Using 15 mL would provide 20 mEq of KCl, which exceeds the required 15 mEq dose. While this volume is sufficient, it is not the optimal amount needed, making this choice incorrect.

D (20 mL) YOUR ANSWER

Choosing 20 mL would supply 26.67 mEq of KCl (20 mL x 1.33 mEq/mL), which is also beyond the necessary 15 mEq dose. This choice is excessive and not aligned with the dosing requirements.

Conclusion

The correct volume of 11.25 mL is determined by calculating the concentration of the potassium chloride solution and the required dose. The other choices either underdose or overdose the amount needed, emphasizing the importance of accurate dosing in medical contexts.

What volume,in mL of a 10% potassium chloride solution supplying 20 mEq/15 mL is needed to provide one 15 mEq dose of KCl?

11.25 mL of a 10% potassium chloride solution is needed to provide one 15 mEq dose of KCl.

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