High School

What dosage in grams per kilogram of body weight does a 122 lb woman receive if she takes two 275 mg tablets of penicillin? Express your answer using three significant figures.

Answer :

The dosage of penicillin for the 122 lb woman is approximately 0.00993 g/kg of body weight.

To calculate the dosage in grams per kilogram of body weight, we'll follow these steps:

Convert the weight of the woman from pounds to kilograms.

122 lb * (1 kg / 2.2046 lb) = 55.34 kg (rounded to two decimal places)

Calculate the total dosage of penicillin in grams.

2 tablets * 275 mg/tablet = 550 mg

Convert the total dosage from milligrams to grams.

550 mg * (1 g / 1000 mg) = 0.55 g

Calculate the dosage per kilogram of body weight.

Dosage per kg = Total dosage (g) / Body weight (kg)

Dosage per kg = 0.55 g / 55.34 kg = 0.00993 g/kg

Rounded to three significant figures, the dosage is approximately 0.00993 g/kg.

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