A client is ordered digoxin 0.25mg po. daily. On hand is a liquid in a dropper bottle labeled 500mcg/10mL. How many milliliters will be administered?
Explanation & Rationale
Given: Desired dose: Digoxin 0.25 mg PO daily Available concentration: Digoxin 500 mcg/10 mL To find: Volume to administer (in mL) Step 1: Convert desired dose to micrograms We know that 1 milligram (mg) is equal to 1000 micrograms (mcg). Therefore, to convert the desired dose from mg to mcg, we multiply by 1000: Desired dose (mcg) = Desired dose (mg)x 1000 Desired dose (mcg) = 0.25 mg x 1000 = 250 mcg Step 2: Set up the proportion We can use the following proportion to solve the problem: (Desired dose) / (Available concentration) = Volume to administer Step 3: Substitute the values Plugging in the given values, we get: (250 mcg) / (500 mcg/10 mL) = Volume to administer Step 4: Simplify To simplify, we can invert the denominator and multiply: (250 mcg) x (10 mL / 500 mcg) = Volume to administer The "mcg" units cancel out, leaving us with: (250 x 10 mL) / 500 = Volume to administer Step 5: Calculate Performing the multiplication and division, we get: 2500/ 500 = Volume to administer 5 mL = Volume to administer