MD order: dextromethorpan 10 mg q 4 h for a cough

Available: 5g/5 mL
How many tablespoons will be administered per dose?

1 answer

To determine the number of tablespoons that will be administered per dose, we need to calculate the volume of the medication that corresponds to 10 mg of dextromethorphan.

Given that the available form of the medication is 5g/5 mL, we can convert the medication to milligrams by multiplying 5g by 1000 (since 1g = 1000mg).

5g * 1000 = 5000mg

Since 5 mL corresponds to 5000mg, we can calculate the volume of medication needed for 10 mg by setting up a proportion:

5 mL / 5000 mg = x mL / 10 mg

Cross-multiplying, we get:

5000 mg * x mL = 10 mg * 5 mL

x mL = (10 mg * 5 mL) / 5000 mg

x mL = 50 mL / 5000

x mL = 0.01 mL

Therefore, 0.01 mL of the medication is needed for a dose of 10 mg.

Since there are approximately 14.79 mL in 1 tablespoon, we can now calculate the number of tablespoons per dose:

0.01 mL / 14.79 mL = 0.000675 tablespoons

Therefore, approximately 0.000675 tablespoons will be administered per dose.

Note: It is important to round this value appropriately, as administering such tiny amounts accurately might be difficult or impractical.