High School

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FR is a 39-year-old male admitted to the hospital for treatment of dehydration and Crohn's disease.

**Medications:**
- D5 1/2 NS at 100 ml/hr x 2 liters, then reduce rate to 60 ml/hr and run continuously
- Methylprednisolone 40 mg IV Q12H
- Diovan 160 mg PO daily
- Entocort EC 6 mg PO daily
- Potassium chloride 24 mEq PO daily

The pharmacist has 600 mg Micro-K capsules available. How many capsules should FR take daily? (MW KCl = 74.5)

**(Answer must be numeric; no units or commas; round the final answer to the nearest WHOLE number)**

Answer :

Final answer:

To deliver the prescribed 24 mEq of potassium chloride, which converts to 937.4 mg of potassium, the patient would need to take approximately 2.98, or rounded up, 3 capsules of 600 mg Micro-k daily.

Explanation:

The question requires us to calculate how many 600 mg Micro-k capsules the patient should take daily to meet the requirement of 24 mEq of potassium chloride (KCl). The molecular weight (MW) of KCl is provided as 74.5 g/mol. First, we need to convert mEq to mg:

  • 1 mEq of K+ corresponds to the atomic weight of K (approximately 39.1 g/mol), hence 1 mEq of K+ is 39.1 mg.
  • Since the prescription is for 24 mEq of potassium, this translates to 24 mEq x 39.1 mg/mEq = 937.4 mg of K+.

As potassium chloride, since KCl contains one potassium ion (K+) for every chloride ion (Cl-), we just scale by the ratio of the weights of K to KCl to find the required KCl:

  • 937.4 mg (K) x (74.5 g/mol KCl / 39.1 g/mol K) = 1788.63 mg of KCl.

Finally, to find out the number of 600 mg Micro-k capsules needed:

  • 1788.63 mg KCl / 600 mg/capsule = 2.98, which we round up to 3 capsules per day.

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