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.

Part B: How many 100 mg tablets should a 35 lb child take to receive the same dosage? Express your answer using two significant figures.

Part A: To calculate the dosage in grams per kilogram of body weight, we need to find the weight of the woman in kilograms. We can use the conversion factor 1 lb = 0.453592 kg.

To convert 122 lb to kg:

122 lb × 0.453592 kg/lb = 55.338 kg

The total dose taken is:

2 tablets × 275 mg/tablet = 550 mg

The dosage in grams per kilogram of body weight is:

550 mg / 55.338 kg = 0.00994 g/kg (rounded to three significant figures)

Therefore, the 122lb woman receives 0.00994 grams per kilogram of body weight if she takes two 275 mg tablets of penicillin.

Part B: To calculate how many 100 mg tablets the 35 lb child would take, we need to find the total dose required. We can use the same conversion factor: 1 lb = 0.453592 kg.

To convert 35 lb to kg:35 lb × 0.453592 kg/lb = 15.875 kg

Since we know the dosage required in Part A, we can use that to find the total dose for the child:

0.00994 g/kg × 15.875 kg = 0.1578 g (rounded to four significant figures)

To find how many 100 mg tablets are needed, we can use the conversion factor:

1 g = 10³ mg

1 tablet = 100 mg

So, the number of tablets required is:

0.1578 g × 10³ mg/g ÷ 100 mg/tablet = 1.58 tablets (rounded to two significant figures)

Therefore, the 35 lb child would need to take 1.58 tablets of 100 mg to receive the same dosage.

Learn more about dosage: https://brainly.com/question/29338196

#SPJ11