Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 50

Apothecaries (druggists) use the following set of measures in the English system: $$\begin{aligned} 20 \text { grains ap } &=1 \text { scruple (exact) } \\ 3 \text { scruples } &=1 \text { dram ap (exact) } \\ 8 \operatorname{dram} a p &=1 \text { oz ap (exact) } \\ 1 \operatorname{dram} a p &=3.888 g \end{aligned}$$ a. Is an apothecary grain the same as a troy grain? (See Exercise 49.) b. 1 oz ap 5 ________ oz troy. c. An aspirin tablet contains \(5.00 \times 10^{2} \mathrm{mg}\) of active ingre- dient. What mass in grains ap of active ingredient does it contain? What mass in scruples? d. What is the mass of 1 scruple in grams?

Short Answer

Expert verified
a. No, 1 apothecary grain is not the same as 1 troy grain. 1 apothecary grain is approximately 0.0648 g, while 1 troy grain is approximately 0.06479891 g. b. 1 oz ap is approximately 1.09714 oz troy. c. The aspirin tablet contains 500 mg or 0.5 g of active ingredient, which is approximately 7.717 grains ap or approximately 0.38585 scruples. d. The mass of 1 scruple is approximately 1.296 g.

Step by step solution

01

Calculate the mass of 1 apothecary grain in grams

According to the given information, 1 dram ap = 3.888 g, and 1 scruple = 1/3 dram ap, and 1 grain ap = 1/20 scruple. We need to find the mass of 1 grain ap in grams. 1 grain ap = (1/20) * (1/3) * 3.888 g Calculate this value.
02

Compare with troy grain mass

The mass of 1 troy grain, as given in Exercise 49, is approximately 0.06479891 g. Compare the mass of 1 apothecary grain with the mass of 1 troy grain and determine whether they are the same. #b. Convert 1 oz ap to oz troy#
03

Calculate the mass of 1 oz ap in grams

From the given information, 1 oz ap = 8 drams ap. Calculate the mass of 1 oz ap in grams by multiplying with the conversion factor. 1 oz ap = 8 * 3.888 g Calculate this mass in grams.
04

Convert grams to oz troy

To convert the mass in grams to oz troy, use the conversion factor from Exercise 49 which states that 1 g = 0.0321507 oz troy. Calculate the mass in oz troy. #c. Convert aspirin tablet mass to grains ap and scruples#
05

Convert mg to grains ap

The mass of the active ingredient in the aspirin tablet is 500 mg. First, convert this mass to grams. 500 mg = 0.5 g Now, convert the mass in grams to grains ap using the conversion factor. Calculate the mass in grains ap.
06

Convert grains ap to scruples

Now, convert the mass in grains ap to scruples using the given conversion factor. Calculate the mass in scruples. #d. Mass of 1 scruple in grams#
07

Calculate the mass of 1 scruple in grams

Since we know that 1 scruple = 1/3 dram ap, and 1 dram ap = 3.888 g, we can easily find the mass of 1 scruple in grams. 1 scruple = (1/3) * 3.888 g Calculate the mass in grams.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Give four examples illustrating each of the following terms. a. homogeneous mixture b. heterogeneous mixture c. compound d. element e. physical change f. chemical change

The radius of a neon atom is \(69 \mathrm{pm},\) and its mass is \(3.35 \times\) \(10^{-23} \mathrm{g} .\) What is the density of the atom in grams per cubic centimeter \(\left(\mathrm{g} / \mathrm{cm}^{3}\right) ?\) Assume the nucleus is a sphere with volume \(=\frac{4}{3} \pi r^{3}\)

Which of the following are chemical changes? Which are physical changes? a. the cutting of food b. interaction of food with saliva and digestive enzymes c. proteins being broken down into amino acids d. complex sugars being broken down into simple sugars e. making maple syrup by heating maple sap to remove water through evaporation f. DNA unwinding

During a very cold winter, the temperature may remain below freezing for extended periods. However, fallen snow can still disappear, even though it cannot melt. This is possible because a solid can vaporize directly, without passing through the liquid state. Is this process (sublimation) a physical or a chemical change?

When a marble is dropped into a beaker of water, it sinks to the bottom. Which of the following is the best explanation? a. The surface area of the marble is not large enough to be held up by the surface tension of the water. b. The mass of the marble is greater than that of the water. c. The marble weighs more than an equivalent volume of the water. d. The force from dropping the marble breaks the surface tension of the water. e. The marble has greater mass and volume than the water. Justify your choice, and for choices you did not pick, explain what is wrong about them.
See all solutions

Recommended explanations on Chemistry Textbooks

Organic Chemistry

Read Explanation

Chemical Analysis

Read Explanation

Inorganic Chemistry

Read Explanation

Nuclear Chemistry

Read Explanation

Physical Chemistry

Read Explanation

Chemical Reactions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free