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To treat a bacterial infection, a doctor orders 4 tablets of amoxicillin per day for 10 days. If each tablet contains 250 mg of amoxicillin, how many ounces of the medication are given in 10 days? (2.6)
1. Matter and Measurements
Dimensional Analysis
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Lipitor, a pharmaceutical drug that has been shown to lower 'bad' cholesterol levels, while boosting 'good' cholesterol levels had over $12 billion in sales last year. Each pill weighs 2.5 g, which contains 4.0% of the active ingredient by mass. What mass in kg of the active ingredient is present in one bottle of 120 pills?
A
0.112 kg
B
0.020 kg
C
0.012 kg
D
0.024 kg
E
1.02 kg
Verified step by step guidance1
First, determine the mass of one pill. Each pill weighs 2.5 g.
Next, calculate the total mass of 120 pills by multiplying the mass of one pill by the number of pills: \( 2.5 \, \text{g/pill} \times 120 \, \text{pills} \).
Now, find the mass of the active ingredient in the total mass of pills. Since the active ingredient makes up 4.0% of the mass, multiply the total mass of pills by 0.04.
Convert the mass of the active ingredient from grams to kilograms. Remember that 1 kg = 1000 g, so divide the mass in grams by 1000.
Review the options provided and compare the calculated mass of the active ingredient in kilograms to select the correct answer.
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