What volume, in tsp, of a 20 mEq/15 mL solution would deliver a dose of 40 mEq?

Rationale

6 tsp of a 20 mEq/15 mL solution would deliver a dose of 40 mEq.

To determine the volume required to deliver a dose of 40 mEq from a solution of 20 mEq per 15 mL, we can set up a proportion. Since 20 mEq corresponds to 15 mL, we can calculate the necessary volume for 40 mEq using a simple ratio.

A (2) YOUR ANSWER

This option represents a volume that is too small to deliver the required 40 mEq. Using the ratio of 20 mEq per 15 mL, 2 tsp would deliver far less than 40 mEq, indicating a misunderstanding of the proportional relationship between the concentration and the desired dose.

B (6) CORRECT

This answer is correct because calculating the volume needed for 40 mEq involves setting up a proportion: (20 mEq / 15 mL) = (40 mEq / x mL). Solving for x yields 30 mL, which converts to 6 tsp (since 1 tsp is approximately 5 mL). This effectively delivers the required dose.

C (30) YOUR ANSWER

While 30 mL is the correct volume to deliver 40 mEq, the question specifically asks for the volume in teaspoons, and 30 mL converts to 6 tsp, not 30. Therefore, this choice represents the correct volume in mL but fails to adhere to the requested unit of measurement.

D (40) YOUR ANSWER

This option suggests an incorrectly high volume, which would deliver more than the required 40 mEq. Based on the concentration of 20 mEq per 15 mL, a larger volume than necessary would not accurately deliver the specified dose, indicating a miscalculation.

Conclusion

To calculate the volume needed to provide a specific dose from a concentrated solution, one must consider the concentration and set up a proportion. In this case, using a 20 mEq/15 mL solution, 6 tsp (equivalent to 30 mL) accurately delivers the required dose of 40 mEq. Understanding unit conversions and maintaining proportionality are crucial in medication dosing calculations.

What volume, in tsp, of a 20 mEq/15 mL solution would deliver a dose of 40 mEq?

6 tsp of a 20 mEq/15 mL solution would deliver a dose of 40 mEq.

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