Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 46

Indicate the number of significant figures in each of the following measured quantities: (a) \(62.65 \mathrm{~km} / \mathrm{hr}\), (b) \(78.00 \mathrm{~K}\), (c) \(36.9 \mathrm{~mL}\) (d) \(250 \mathrm{~mm}\), (e) 89.2 metric tons, (f) \(6.4224 \times 10^{2} \mathrm{~m}^{3}\)

Short Answer

Expert verified
(a) 4 significant figures, (b) 4 significant figures, (c) 3 significant figures, (d) 2 significant figures, (e) 3 significant figures, (f) 5 significant figures.

Step by step solution

01

:For the given quantity, all the digits (6, 2, 6, and 5) are non-zero and there are no zeros between non-zero digits. Hence, all the digits are considered significant. Therefore, there are 4 significant figures in \(62.65 \mathrm{~km}/\mathrm{hr}\). ##Step 2: Determine the significant figures in (b) \(78.00 \mathrm{~K}\).##

:In this case, we have two non-zero digits (7 and 8) and two trailing zeros after the decimal point (0 and 0). Since the number has a decimal point, the trailing zeros are significant. Thus, there are 4 significant figures in \(78.00 \mathrm{~K}\). ##Step 3: Determine the significant figures in (c) \(36.9 \mathrm{~mL}\).##
02

:Here, all the digits (3, 6, and 9) are non-zero, and there are no zeros between non-zero digits. Therefore, there are 3 significant figures in \(36.9 \mathrm{~mL}\). ##Step 4: Determine the significant figures in (d) \(250 \mathrm{~mm}\).##

:For this quantity, we have two non-zero digits (2 and 5) and one trailing zero without a decimal point (0). The trailing zero is not considered significant since there is no decimal point. Thus, there are 2 significant figures in \(250 \mathrm{~mm}\). ##Step 5: Determine the significant figures in (e) 89.2 metric tons.##
03

:In this case, all the digits (8, 9, and 2) are non-zero. There are no zeros between non-zero digits. Therefore, there are 3 significant figures in 89.2 metric tons. ##Step 6: Determine the significant figures in (f) \(6.4224 \times 10^{2} \mathrm{~m}^{3}\).##

:The number is in scientific notation, which means that only the significant digits are written (6, 4, 2, 2, and 4). There are no zeros between them, so there are 5 significant figures in \(6.4224 \times 10^{2} \mathrm{~m}^{3}\). To summarize the number of significant figures in each measured quantity: (a) 4 significant figures, (b) 4 significant figures, (c) 3 significant figures, (d) 2 significant figures, (e) 3 significant figures, (f) 5 significant figures.

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

A solid white substance \(A\) is heated strongly in the absence of air. It decomposes to form a new white substance \(\mathrm{B}\) and a gas C. The gas has exactly the same properties as the product obtained when carbon is burned in an excess of oxygen. Based on these observations, can we determine whether solids A and \(\mathrm{B}\) and gas \(\mathrm{C}\) are elements or compounds?

What is the number of significant figures in each of the following measured quantities? (a) \(902.5 \mathrm{~kg}\), (b) \(3 \times 10^{-6} \mathrm{~m}\), (c) \(0.0096 \mathrm{~L}\), (d) \(2.94 \times 10^{3} \mathrm{~m}^{2}\) (e) \(92.03 \mathrm{~km}\) (f) \(782.234 \mathrm{~g}\).

Ethyl chloride is sold as a liquid (see photo) under pressure for use as a local skin anesthetic. Ethyl chloride boils at \(12^{\circ} \mathrm{C}\) at atmospheric pressure. When the liquid is sprayed onto the skin, it boils off, cooling and numbing the skin as it vaporizes. (a) What changes of state are involved in this use of ethyl chloride? (b) What is the boiling point of ethyl chloride in degrees Fahrenheit? (c) The bottle shown contains $103.5 \mathrm{~mL}\( of ethyl chloride. The density of ethyl chloride at \)25^{\circ} \mathrm{C}\( is \)0.765 \mathrm{~g} / \mathrm{cm}^{3} .$ What is the mass of ethyl chloride in the bottle?

Use appropriate metric prefixes to write the following measurements without use of exponents: (a) \(7.29 \times 10^{6} \mathrm{~g}\) (b) \(6.1 \times 10^{-10} \mathrm{~m}\) (c) \(1.828 \times 10^{-3} \mathrm{~s}\) (d) \(3.523 \times 10^{9} \mathrm{~m}^{3}\) (g) \(3.552 \times 10^{12} \mathrm{~L}\) (e) $9.62 \times 10^{2} \mathrm{~m} / \mathrm{s}(\mathbf{f}) 8.923 \times 10^{-12} \mathrm{~kg}$

The total rate at which power is used by humans worldwide is approximately 15 TW (terawatts). The solar flux averaged over the sunlit half of Earth is $680 \mathrm{~W} / \mathrm{m}^{2}$ (assuming no clouds). The area of Earth's disc as seen from the Sun is \(1.28 \times 10^{14} \mathrm{~m}^{2}\). The surface area of Earth is approximately 197,000,000 square miles. How much of Earth's surface would we need to cover with solar energy collectors to power the planet for use by all humans? Assume that the solar energy collectors can convert only \(10 \%\) of the available sunlight into useful power.
See all solutions

Recommended explanations on Chemistry Textbooks

Physical Chemistry

Read Explanation

Inorganic Chemistry

Read Explanation

Organic Chemistry

Read Explanation

Chemical Reactions

Read Explanation

Making Measurements

Read Explanation

Kinetics

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