Chapter 42: Q 20 Exercise (page 1236)

A sample of 1.0x1010atoms that decay by alpha emission

has a half-life of 100 min. How many alpha particles are emitted

between t = 50 min and t = 200 min?

Short Answer

Expert verified

Therefore 4.57×109atomsare emitted between t=50 min and t = 200 min.

Step by step solution

01

Given information

t1/2=100minNo=1.0×1010atoms

02

Explanation

To begin, we must determine the number of radioactive atoms at time t = 50 minutes:

N50=No12t/t1/2N50=1.0×1010atoms1250min/100minN50=7.07×109atoms

We determine the number of radioactive atoms at time t = 200 minutes:

N200=No12t/t1/2N200=1.0×1010atoms12200min/100minN200=2.50×109atoms

03

Explanation

We determine the number of radioactive atoms between time t = 50 minutes and 200 minutes:

Ndecay=N50-N200Ndecay=7.07×109atoms-2.50×109atomsNdecay=4.57×109atoms

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 Physics 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