A nurse is preparing to administer potassium chloride 20 mEq. The amount available is potassium chloride liquid 40 mEq/15 mL. How many mL should the nurse administer? (Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)
The Correct Answer is ["7.5"]
We can calculate the volume of potassium chloride solution to administer using the following steps:
Identify the prescribed dose: The nurse needs to administer 20 mEq of potassium chloride.
Identify the concentration of available solution: The potassium chloride liquid is available in a concentration of 40 mEq/15 mL. This means there are 40 milliequivalents (mEq) of potassium chloride in every 15 milliliters (mL) of the solution.
Set up a proportion to find the volume needed:
Desired dose (mEq) : Volume to administer (mL) = Concentration (mEq/mL)
Plug in the values:
20 mEq : Volume to administer (mL) = 40 mEq/15 mL
Solve for the volume:
To isolate the volume (mL), multiply both sides of the proportion by the volume unit (mL) and divide by the dose (mEq).
Volume to administer (mL) = (20 mEq) x (mL) / (40 mEq/15 mL)
We can simplify the calculation before dividing:
Volume to administer (mL) = (20 mEq x 15 mL) / 40 mEq
Volume to administer (mL) = 300 mL / 40 mEq
Volume to administer (mL) = 7.5 mL (round to one decimal place)
Therefore, the nurse should administer 7.5 mL of the potassium chloride solution.
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