-) hal-bfe q 242 days. sich valse is closet to the b.4 the alter 2 ym. (1730 dug )? Gaddinium-153. has. a half- f e Gd-133 1.ft in a poranstem t'l2= 242 d. 12.5%

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
icon
Concept explainers
Question
100%

See image below.  Can you please show me how to solve this to get 12.5%?

**Question:**

Gadolinium-153 has a half-life of 242 days. Which value is closest to the percentage of the Gd-153 left in a person's system after 2 years (730 days)?

**Given:**

t₁/₂ = 242 days

**Solution:**

12.5% (circled)

---

**Explanation:**

The problem involves calculating the remaining percentage of Gadolinium-153 in a person's system after a given period of time, based on its half-life of 242 days. The calculation implies several half-lives have passed in the 730 days (2 years), resulting in approximately 12.5% of the original amount remaining.
Transcribed Image Text:**Question:** Gadolinium-153 has a half-life of 242 days. Which value is closest to the percentage of the Gd-153 left in a person's system after 2 years (730 days)? **Given:** t₁/₂ = 242 days **Solution:** 12.5% (circled) --- **Explanation:** The problem involves calculating the remaining percentage of Gadolinium-153 in a person's system after a given period of time, based on its half-life of 242 days. The calculation implies several half-lives have passed in the 730 days (2 years), resulting in approximately 12.5% of the original amount remaining.
Expert Solution
Step 1

Gd-153 has half life of 242 days 

question is asked about , percentage of Gd-153 remaining after 730 days 

 

1) first we will calculate number of possible half lifes in 730 days 

number of half lifes = total days / half life days 

                              = 730 / 242 

                              = 3.02

                              = 3.00 half lifes 

2) now we will calculate % of Gd-153 remaining after completion of 3 half lifes 

suppose we have initial amount 100% 

100% 1 half life50% 2 half life25 % 3 half life 12.5 % 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Ionic Equilibrium
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY