A physician prescribes 2.5 million units of penicillin G potassium daily for 1 week. If 1 unit of penicilin G potassium equals 0.6 mcg, how many tablets, each containing 250 mg, will provide the prescribed dosage regimen un

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Answer:

6 tablets

Step-by-step explanation:

Given:

Prescribed units of penicillin G potassium daily for 1 week = 2.5 million units

1 unit of penicilin G potassium = 0.6 mcg = 0.6 × 0.001 mg = 0.0006 mg

Thus,

2.5 million units of penicillin G potassium will be = 2.5 million × 0.0006

or

= 2.5 × 10⁶ × 0.0006

= 1500 mg

Also, Weight of each tablet = 250 mg

Thus, number of tablets required for 1500 mg = [tex]\frac{1500}{250}[/tex]

or

= 6 tablets.

The number of tablets containing 250 mg, that will provide the prescribed dosage regimen is 6 tablets

Since the physician prescribes 2.5 million units of penicillin G potassium daily for 1 week. If 1 unit of penicilin G potassium equals 0.6 mcg, we need to find how many tablets, each containing 250 mg, will provide the prescribed dosage regimen.

Number of mg in 2.5 million units

So, since 1 unit = 0.6 mcg

= 0.6 × 1 mcg

= 0.6 × 10⁻³ mg

2.5 million units = 2.5 × 10⁶ × 1 unit

= 2.5 × 10⁶ × 0.6 × 10⁻³ mg

= 1.5 × 10³ mg

= 1500 mg

Number of 250 mg tablets required

So, we need to find the number of 250 mg tablets in 1500 mg.

Since 250 mg = 1 tablet

1500 mg = 1500 mg × 1 tablet/250 mg

= 6 tablets

So, the number of tablets containing 250 mg, that will provide the prescribed dosage regimen is 6 tablets

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