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Chapter 2: Problem 59

Write an equality and two conversion factors for each of the following medications in stock: a. \(10 \mathrm{mg}\) of Atarax per \(5 \mathrm{~mL}\) of Atarax syrup b. \(0.25 \mathrm{~g}\) of Lanoxin per 1 tablet of Lanoxin c. \(300 \mathrm{mg}\) of Motrin per 1 tablet of Motrin

Short Answer

Expert verified
Atarax: 10 mg = 5 mL, \[\frac{10 \text{ mg}}{5 \text{ mL}}\frac{5 \text{ mL}}{10 \text{ mg}}Lanoxin: 0.25 g = 1 tablet, \[\frac{0.25 \text{ g}}{1 \text{ tablet}}\frac{1 \text{ tablet}}{0.25 \text{ g}}Motrin: 300 mg = 1 tablet, \[\frac{300 \text{ mg}}{1 \text{ tablet}}\frac{1 \text{ tablet}}{300 \text{ mg}}

Step by step solution

01

- Equality for Atarax

Identify the given values. For Atarax, we are given that there are 10 mg of Atarax per 5 mL of syrup. The equality can be written as: 10 mg Atarax = 5 mL Atarax syrup
02

- Conversion Factors for Atarax

From the equality, two conversion factors can be derived:1) \[\frac{10 \text{ mg Atarax}}{5 \text{ mL Atarax syrup}}\]2) \[\frac{5 \text{ mL Atarax syrup}}{10 \text{ mg Atarax}}\]
03

- Equality for Lanoxin

Identify the given values. For Lanoxin, we are given that there are 0.25 g of Lanoxin per 1 tablet. The equality can be written as: 0.25 g Lanoxin = 1 tablet
04

- Conversion Factors for Lanoxin

From the equality, two conversion factors can be derived:1) \[\frac{0.25 \text{ g Lanoxin}}{1 \text{ tablet}}\]2) \[\frac{1 \text{ tablet}}{0.25 \text{ g Lanoxin}}\]
05

- Equality for Motrin

Identify the given values. For Motrin, we are given that there are 300 mg of Motrin per 1 tablet. The equality can be written as: 300 mg Motrin = 1 tablet
06

- Conversion Factors for Motrin

From the equality, two conversion factors can be derived:1) \[\frac{300 \text{ mg Motrin}}{1 \text{ tablet}}\]2) \[\frac{1 \text{ tablet}}{300 \text{ mg Motrin}}\]

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Key Concepts

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

conversion factors
Conversion factors are vital tools in pharmaceutical dosages to switch between units of measurement. They act as bridges, allowing you to convert a quantity expressed in one unit to another unit. For instance, if you know that 10 mg of Atarax equals 5 mL of Atarax syrup, you can set up conversion factors such as:
  • \(\frac{10 \text{ mg Atarax}}{5 \text{ mL Atarax syrup}}\)
  • \(\frac{5 \text{ mL Atarax syrup}}{10 \text{ mg Atarax}}\)
These factors help you in recalibrating dosages, ensuring patients receive the accurate amount of medication every time. Mix-ups or incorrect conversions can result in severe consequences, making understanding and properly using conversion factors crucial.
medication equality
Medication equality refers to the equivalence between different measures of the same medication. For example, the equality for Atarax is 10 mg Atarax = 5 mL Atarax syrup. This equality can help set up conversion factors useful for dosing.
Another example: 0.25 g Lanoxin = 1 tablet of Lanoxin shows the measure of the drug in its solid form. Understanding medication equality assists in recognizing how much of the drug in one form equals a different form.
  • Pharmacy tecnicians often use this knowledge when filling prescriptions.
  • It is also useful for doctors prescribing medications.
Grasping medication equality helps ensure that patients receive the correct dosage every time.
dosage calculations
Dosage calculations are essential in administering the correct amount of medication. To perform dosage calculations accurately, you need to know the equality and appropriate conversion factors. For example, let鈥檚 take Motrin, where 300 mg equals 1 tablet. If a prescription requires 600 mg, you can calculate the dosage as follows:
  • Given that 1 tablet equals 300 mg.
  • The required dosage is 600 mg.
  • Setting up the equation: \(\frac{600 \text{ mg}}{300 \text{ mg/tablet}}\).
  • You will need 2 tablets of Motrin.

By understanding dosage calculations, medical professionals can accurately prescribe and administer medications, ensuring patient safety.
milligrams to milliliters
Converting milligrams to milliliters is common when dealing with liquid medications. This involves using the medication equality derived from the concentration of the drug. For example, for Atarax, knowing 10 mg equals 5 mL, allows you to convert milligrams to milliliters or vice versa. To convert, use the conversion factors:
  • \(\frac{10 \text{ mg}}{5 \text{ mL}}\)
  • \(\frac{5 \text{ mL}}{10 \text{ mg}}\)
  • For instance, to find how many milliliters 20 mg of Atarax would be: \(\frac{5 \text{ mL}}{10 \text{ mg}} \times 20 \text{ mg} = 10 \text{ mL}\).
Understanding this conversion helps in administering the precise volume of liquid medication corresponding to the required milligrams.
grams to tablets
In certain cases, medication strengths are given in grams, and you need to determine the equivalent number of tablets. For instance, consider Lanoxin, where 0.25 g equals 1 tablet. Two conversion factors can be derived from this equality:
  • \(\frac{0.25 \text{ g Lanoxin}}{1 \text{ tablet}}\)
  • \(\frac{1 \text{ tablet}}{0.25 \text{ g Lanoxin}}\)
To find how many tablets are needed for 0.5 g of Lanoxin:
  • Given 0.25 g equals 1 tablet.
  • Need 0.5 g.
  • Setting up the equation: \(\frac{0.5 \text{ g}}{0.25 \text{ g/tablet}} = 2 \text{ tablets}\).

Knowing how to convert grams to tablets ensures precise dosing, ensuring patients receive the correct amount of medication.

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Most popular questions from this chapter

Identify the number of significant figures in each of the following: a. The mass of a neonate is \(1.607 \mathrm{~kg}\). b. The Daily Value (DV) for iodine for an infant is \(130 \mathrm{mcg}\). c. There are \(4.02 \times 10^{6}\) red blood cells in a blood sample.

Solve each of the following problems: a. A glucose solution has a density of \(1.02 \mathrm{~g} / \mathrm{mL}\). What is its specific gravity? b. A \(0.200-\mathrm{mL}\) sample of high-density lipoprotein (HDL) has a mass of \(0.230 \mathrm{~g}\). What is the density of the HDL? c. Butter has a specific gravity of \(0.86 .\) What is the mass, in grams, of \(2.15 \mathrm{~L}\) of butter? d. A \(5.000-\mathrm{mL}\) urine sample has a mass of \(5.025 \mathrm{~g}\). If the normal range for the specific gravity of urine is \(1.003\) to \(1.030\), would the specific gravity of this urine sample indicate that the patient could have type 2 diabetes?

Use metric conversion factors to solve each of the following problems: a. The height of a student is \(175 \mathrm{~cm}\). How tall is the student in meters? b. A cooler has a volume of \(5000 \mathrm{~mL}\). What is the capacity of the cooler in liters? c. A hummingbird has a mass of \(0.0055 \mathrm{~kg}\). What is the mass, 2 in grams, of the hummingbird? d. A balloon has a volume of \(3500 \mathrm{~cm}^{3}\). What is the volume, in cubic meters?

Perform each of the following calculations, and give an answer with the correct number of decimal places: a. \(45.48 \mathrm{~cm}+8.057 \mathrm{~cm}\) b. \(23.45 \mathrm{~g}+104.1 \mathrm{~g}+0.025 \mathrm{~g}\) c. \(145.675 \mathrm{~mL}-24.2 \mathrm{~mL}\) d. \(1.08 \mathrm{~L}-0.585 \mathrm{~L}\)

Determine the density ( \(\mathrm{g} / \mathrm{mL}\) ) for each of the following: a. The fluid in a car battery has a volume of \(125 \mathrm{~mL}\) and a mass of \(155 \mathrm{~g}\). b. A plastic material weighs \(2.68 \mathrm{lb}\) and has a volume of \(3.5 \mathrm{~L}\) c. A \(5.00-\mathrm{mL}\) urine sample from a person suffering from diabetes mellitus has a mass of \(5.025 \mathrm{~g}\). d. A solid object with a mass of \(1.65 \mathrm{lb}\) and a volume of \(170 \mathrm{~mL}\)
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