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.
Step-by-step 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.