1. A 2 mg sample of Au-198, which is sometimes used in medicine, has a half-life of 2.7 days. Write an equation and then find the ameunt remaining after 5 days. Equ Answer
1. A 2 mg sample of Au-198, which is sometimes used in medicine, has a half-life of 2.7 days. Write an equation and then find the ameunt remaining after 5 days. Equ Answer
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
B
![**Problem Statement:**
1. A 2 mg sample of Au-198, which is sometimes used in medicine, has a half-life of 2.7 days. Write an equation and then find the amount remaining after 5 days.
**Instructions:**
- Write an Equation: ___
- Answer: ___
**Solution Approach:**
To solve this problem, you can use the exponential decay formula related to half-life:
\[ A(t) = A_0 \left(\frac{1}{2}\right)^{\frac{t}{T_{1/2}}} \]
Where:
- \( A(t) \) is the amount remaining after time \( t \).
- \( A_0 \) is the initial amount.
- \( t \) is the time elapsed.
- \( T_{1/2} \) is the half-life.
**Example Calculation:**
Given:
- \( A_0 = 2 \) mg
- \( T_{1/2} = 2.7 \) days
- \( t = 5 \) days
Plug these values into the formula to find the amount remaining after 5 days.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa93fe523-bbc5-4ded-98ad-9d42c9cf636e%2F8305b532-1d8d-48cf-bdd9-5d52bfe29f43%2Frpmq8g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
1. A 2 mg sample of Au-198, which is sometimes used in medicine, has a half-life of 2.7 days. Write an equation and then find the amount remaining after 5 days.
**Instructions:**
- Write an Equation: ___
- Answer: ___
**Solution Approach:**
To solve this problem, you can use the exponential decay formula related to half-life:
\[ A(t) = A_0 \left(\frac{1}{2}\right)^{\frac{t}{T_{1/2}}} \]
Where:
- \( A(t) \) is the amount remaining after time \( t \).
- \( A_0 \) is the initial amount.
- \( t \) is the time elapsed.
- \( T_{1/2} \) is the half-life.
**Example Calculation:**
Given:
- \( A_0 = 2 \) mg
- \( T_{1/2} = 2.7 \) days
- \( t = 5 \) days
Plug these values into the formula to find the amount remaining after 5 days.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education