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Chapter 2: Problem 111

To treat a bacterial infection, a doctor orders 4 tablets of amoxicillin per day for 10 days. If each tablet contains \(250 \mathrm{mg}\) of amoxicillin, how many ounces of the medication are given in 10 days? (2.6)

Short Answer

Expert verified
0.35274 ounces.

Step by step solution

01

- Calculate the Total Number of Tablets

To find the total number of tablets taken in 10 days, multiply the number of tablets per day by the number of days: \(4 \text{ tablets/day} \times 10 \text{ days} = 40 \text{ tablets}\).
02

- Convert Tablets to Milligrams

Each tablet contains 250 milligrams of amoxicillin. Multiply the total number of tablets by the milligrams per tablet: \(40 \text{ tablets} \times 250 \text{ mg/tablet} = 10,000 \text{ mg}\).
03

- Convert Milligrams to Grams

Convert the milligrams to grams. There are 1,000 milligrams in a gram: \(10,000 \text{ mg} \times \frac{1 \text{ g}}{1,000 \text{ mg}} = 10 \text{ g}\).
04

- Convert Grams to Ounces

Finally, convert the grams to ounces. There are approximately 0.035274 ounces in a gram: \(10 \text{ g} \times 0.035274 \text{ oz/g} = 0.35274 \text{ oz}\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

unit conversion
Unit conversion is an essential skill in dosage calculations. It involves changing a measurement from one unit to another, ensuring consistency and accuracy.
For example, in medication dosage, you might need to convert milligrams to grams, grams to ounces, or tablets to milligrams. This process allows healthcare providers to prescribe the correct amount of medication efficiently.
The basic steps include identifying the units you want to convert, knowing the conversion factors (like 1 gram = 1000 milligrams), and performing the arithmetic operations.
Always double-check your calculations to avoid errors.
milligrams to grams
Converting milligrams to grams is straightforward because both units measure mass in the metric system. The conversion factor between milligrams (mg) and grams (g) is 1 gram = 1000 milligrams.
For instance, if you have 10,000 milligrams and you need to convert that to grams:
\(10,000 \text{mg} \times \frac{1 \text{g}}{1000 \text{mg}} = 10 \text{g}\)
This conversion is useful in medication dosing where smaller units are often prescribed but need to be converted for administration or record-keeping.
grams to ounces
Grams and ounces are units for measuring weight, with grams being part of the metric system and ounces part of the imperial system. To convert grams to ounces, use the conversion factor 1 gram 鈮� 0.035274 ounces.
For example, converting 10 grams to ounces:
\(10 \text{g} \times 0.035274 \text{oz/g} = 0.35274 \text{oz}\)
This type of conversion is essential for contexts where different measurement systems might be used, such as international medicine or pharmacy.
tablet dosage
Tablet dosage refers to the amount of medication contained in a single tablet, often measured in milligrams. Calculating the total dosage often involves multiplying the number of tablets by the dosage per tablet.
For example, if a doctor prescribes 4 tablets per day, each containing 250 mg of amoxicillin, for 10 days, the total dosage in milligrams is:
\(4 \text{ tablets/day} \times 10 \text{ days} \times 250 \text{ mg/tablet} = 10,000 \text{ mg}\)
Precise dosage calculation is critical for effective treatment and avoiding overdoses.

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Most popular questions from this chapter

How many significant figures are there in each of the following? a. \(28.003 \mathrm{~g}\) b. \(0.000057 \mathrm{~m}\) c. \(890000000 \mathrm{~km}\) d. \(4.50 \times 10^{6} \mathrm{~kg}\) e. \(0.7005 \mathrm{~L}\) f. \(19.0^{\circ} \mathrm{C}\)

Solve each of the following problems using one or more conversion factors: a. Wine is \(12 \%\) alcohol by volume. How many milliliters of alcohol are in a 0.750-L bottle of wine? b. Blueberry high-fiber muffins contain \(51 \%\) dietary fiber by mass. If a package with a net weight of 12 oz contains six muffins, how many grams of fiber are in each muffin? c. A jar of crunchy peanut butter contains \(1.43 \mathrm{~kg}\) of peanut butter. If you use \(8.0 \%\) of the peanut butter for a sandwich, how many ounces of peanut butter did you take out of the container? d. In a candy factory, the nutty chocolate bars contain \(22.0 \%\) pecans by mass. If \(5.0 \mathrm{~kg}\) of pecans were used for candy last Tuesday, how many pounds of nutty chocolate bars were made?

During a workout at the gym, you set the treadmill at a pace of \(55.0 \mathrm{~m} / \mathrm{min} .\) How many minutes will you walk if you cover a distance of \(7500 \mathrm{ft} ?\) (2.6)

In which of the following pairs do both numbers contain the same number of significant figures? a. \(5100 \mathrm{~m}\) and \(0.0051 \mathrm{~m}\) b. \(8000 \mathrm{~kg}\) and \(0.080 \mathrm{~kg}\) c. \(0.000095 \mathrm{~s}\) and \(950000 \mathrm{~s}\) d. \(58.0 \mathrm{~L}\) and \(5.80 \times 10^{4} \mathrm{~L}\)

Perform each of the following conversions using metric conversion factors: a. \(44.2 \mathrm{~mL}\) to liters b. \(8.65 \mathrm{~m}\) to nanometers c. \(5.2 \times 10^{8} \mathrm{~g}\) to megagrams d. 0.72 ks to milliseconds
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