/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 10.90 The half-life of radioactive iod... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 10.90 (page 1053)

The half-life of radioactive iodine is 60 days. How much of a 50-mg sample will be left in 40 days?

Short Answer

Expert verified

31.45mgof the sample will be left from 50mg in 40days.

Step by step solution

01

Step 1. Given information   

It is given that the half-life of the element is 60days.

02

Step 2. Finding the value of k.

For an original amount, A0, that grows or decays at a rate, k, for a certain time, t, the final amount,

A=A0ekt

Then substituting the given values in the formula we get:

A=A0ekt25=50e60k12=e60k

03

Step 3. Use logarithmic properties   

Taking logarithmic properties on both sides, we get:

12=e60kln12=lne60k-0.693=60klnea=ak=-0.69360k=-0.0116

04

Step 4. Finding the number of decreased bacteria  

Substituting the obtained value of k and the given time in the given formula, we get:

A=A0ektA=50e-0.0116路40A=50e-0.464A=50路0.629A鈮�31.45

31.45mg of the sample will be left in40 days.

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 91影视!

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

Find the inverse of the function

f(x)=5x-3

In the following exercises, graph each exponential function.

g(x)=7x

In the following exercises, graph each exponential function.

f(x)=2x

In the following exercises, solve each logarithmic equation.

loga16=2

In the following exercises, find the inverse of each function.

f(x)=6x-7
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

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.