In an engineering reference book, you find that the density of iron is \(0.284 \mathrm{lb} / \mathrm{in.}^{3} .\) What is the density in \(\mathrm{g} / \mathrm{cm}^{3} ?\)

Short Answer

Expert verified
The density of iron is approximately \(7.86 \: g/cm^3\).

Step by step solution

01

Write down the given density of iron

The given density of iron is \(0.284 \: lb/in^3\).
02

First convert pounds to grams

Knowing that \(1 \: lb = 453.592 \: g\), the density of iron can be converted to grams per cubic inch. By multiplying the given density with the conversion factor \(453.592 \: g/lb\), we obtain \(0.284 \: lb/in^3 \times 453.592 \: g/lb = 128.8 \: g/in^3\).
03

Then convert cubic inches to cubic centimeters

Knowing that \(1 \: in^3 = 16.387 \: cm^3\), the density of iron can be converted to grams per cubic centimeter by dividing the density obtained in Step 2 by this conversion factor. So, \(128.8 \: g/in^3 / 16.387 \: cm^3/in^3 = 7.86 \: g/cm^3\).
04

Check units and round off

Check that the units have been correctly converted and the figure has been calculated with the right number of significant figures. Finally, round off the result to two decimal places.

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.

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

See all solutions

Recommended explanations on Chemistry Textbooks

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