Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 43

Perform each of the following conversions. a. 8.43 \(\mathrm{cm}\) to millimeters b. \(2.41 \times 10^{2} \mathrm{cm}\) to meters c. 294.5 \(\mathrm{nm}\) to centimeters d. \(1.445 \times 10^{4} \mathrm{m}\) to kilometers e. 235.3 \(\mathrm{m}\) to millimeters f. 903.3 \(\mathrm{nm}\) to micrometers

Short Answer

Expert verified
a. \(8.43\, \mathrm{cm} = 84.3\, \mathrm{mm}\) b. \(2.41 \times 10^{2}\, \mathrm{cm} = 2.41\, \mathrm{m}\) c. \(294.5\, \mathrm{nm} = 2.945\times 10^{-7}\, \mathrm{cm}\) d. \(1.445 \times 10^{4}\, \mathrm{m} = 14.45\, \mathrm{km}\) e. \(235.3\, \mathrm{m} = 235300\, \mathrm{mm}\) f. \(903.3\, \mathrm{nm} = 0.9033\, \mathrm{\mu m}\)

Step by step solution

01

Identify the conversion factor between centimeters and millimeters

There are 10 millimeters in 1 centimeter.
02

Perform the conversion

Multiply 8.43 cm by the conversion factor (10 millimeters/1 centimeter): \[8.43 \, \mathrm{cm} \times \frac{10 \, \mathrm{mm}}{1 \, \mathrm{cm}} = 84.3 \, \mathrm{mm}\] #b. Convert \(2.41 \times 10^{2} \, \mathrm{cm}\) to meters#
03

Identify the conversion factor between centimeters and meters

There are 100 centimeters in 1 meter.
04

Perform the conversion

Divide \(2.41 \times 10^{2} \, \mathrm{cm}\) by the conversion factor (100 cm/1 meter): \[\frac{2.41 \times 10^{2}\, \mathrm{cm}}{100\, \mathrm{cm/m}} = 2.41\, \mathrm{m}\] #c.Convert 294.5 nm to centimeters#
05

Identify the conversion factor between nanometers and centimeters

There are \(1 \times 10^9\) nanometers in 1 meter and 100 centimeters in 1 meter.
06

Perform the conversion

Divide 294.5 nm by the conversion factor (1e9 nm/1 m) and multiply by 100 cm/1 m: \[\frac{294.5\, \mathrm{nm}}{1\times 10^9\, \mathrm{nm/m}} \times \frac{100\, \mathrm{cm}}{1\, \mathrm{m}} = 2.945\times 10^{-7}\, \mathrm{cm}\] #d. Convert \(1.445 \times 10^{4}\, \mathrm{m}\) to kilometers#
07

Identify the conversion factor between meters and kilometers

There are 1000 meters in 1 kilometer.
08

Perform the conversion

Divide \(1.445 \times 10^{4}\, \mathrm{m}\) by the conversion factor (1000 m/1 km): \[\frac{1.445\times 10^{4}\,\mathrm{m}}{1000\, \mathrm{m/km}} = 14.45\, \mathrm{km}\] #e. Convert 235.3 m to millimeters#
09

Identify the conversion factor between meters and millimeters

There are 1000 millimeters in 1 meter.
10

Perform the conversion

Multiply 235.3 m by the conversion factor (1000 mm/1 m): \[235.3\, \mathrm{m} \times \frac{1000\, \mathrm{mm}}{1 \, \mathrm{m}} = 235300\, \mathrm{mm}\] #f. Convert 903.3 nm to micrometers#
11

Identify the conversion factor between nanometers and micrometers

There are 1000 nanometers in 1 micrometer.
12

Perform the conversion

Divide 903.3 nm by the conversion factor (1000 nm/1 μm): \[\frac{903.3\, \mathrm{nm}}{1000\, \mathrm{nm/\mu m}} = 0.9033\, \mathrm{\mu m}\]

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

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

A thermometer gives a reading of $96.1^{\circ} \mathrm{F} \pm 0.2^{\circ} \mathrm{F}\( . What is the temperature in \)^{\circ} \mathrm{C} ?$ What is the uncertainty?

You go to a convenience store to buy candy and find the owner to be rather odd. He allows you to buy pieces in multiples of four, and to buy four, you need $0.23. He only allows you to do this by using 3 pennies and 2 dimes. You have a bunch of pennies and dimes, and instead of counting them, you decide to weigh them. You have 636.3 g of pennies, and each penny weighs 3.03 g. Each dime weighs 2.29 g. Each piece of candy weighs 10.23 g. a. How many pennies do you have? b. How many dimes do you need to buy as much candy as possible? c. How much should all these dimes weigh? d. How many pieces of candy could you buy? (number of dimes from part b) e. How much would this candy weigh? f. How many pieces of candy could you buy with twice as many dimes?

A parsec is an astronomical unit of distance where 1 parsec \(=\) 3.26 light years \((1 \text { light year equals the distance traveled by }\) light in one year). If the speed of light is \(186,000 \mathrm{mi} / \mathrm{s}\) , calcu- late the distance in meters of an object that travels 9.6 parsecs.

The density of pure silver is 10.5 \(\mathrm{g} / \mathrm{cm}^{3}\) at \(20^{\circ} \mathrm{C} .\) If 5.25 \(\mathrm{g}\) of pure silver pellets is added to a graduated cylinder containing 11.2 \(\mathrm{mL}\) of water, to what volume level will the water in the cylinder rise?
See all solutions

Recommended explanations on Chemistry Textbooks

Kinetics

Read Explanation

Nuclear Chemistry

Read Explanation

The Earths Atmosphere

Read Explanation

Chemical Analysis

Read Explanation

Chemical Reactions

Read Explanation

Inorganic Chemistry

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