Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 18: Problem 50

How many milligrams remain of a 15.0 \(\mathrm{mg}\) sample of radium-226 after 6396 \(\mathrm{y} ?\) The half-life of this isotope is 1599 \(\mathrm{y}\) .

Short Answer

Expert verified
The remaining quantity of radium-226 after 6396 years is computed by evaluating \(N = N_0 * (0.5) ^ \frac{T}{T_{1/2}}\). Replace the trapped values within the formula to get the final answer.

Step by step solution

01

Identify the known quantities.

The initial quantity of radium-226 (N0) is 15.0 mg. The time that has passed (T) is 6396 years, and the half-life (T_{1/2}) is 1599 years.
02

Substitute the values into the radioactive decay formula.

Insert the known values into the decay formula to find N which represents the quantity of radium left after T years. So, \(N = 15.0 * (0.5) ^ \frac{6396}{1599}\).
03

Evaluate the expression.

Calculate the expression \(15.0 * (0.5) ^ \frac{6396}{1599}\) using a calculator to find N, the quantity of Radium-226 remaining after 6396 years.

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

How does acute radiation exposure differ from chronic radiation exposure?

Name two types of nuclear changes.

What type of radiation is emitted in the decay described by the following equation? $$_{19}^{43} \mathrm{K} \rightarrow_{20}^{43} \mathrm{Ca}+?$$

The half-life of radium- \(-224\) is 3.66 days. What was the original mass of radium-224 if 0.0500 g remains after 7.32 days?

Explain why charged particles do not pene- trate matter deeply.
See all solutions

Recommended explanations on Chemistry Textbooks

Inorganic Chemistry

Read Explanation

Chemical Reactions

Read Explanation

Organic Chemistry

Read Explanation

Kinetics

Read Explanation

Chemistry Branches

Read Explanation

The Earths Atmosphere

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