**Radioactive Decay in Common Elements**Americium-241 and phosphorus-32 are two elements used in practical applications due to their radioactive properties. Here's a brief overview of each element and relevant calculations related to their decay.---### Americium-241**Usage**: Americium-241 is widely used in smoke detectors. **Decay Properties**: - It has a first-order rate constant for radioactive decay given by \( k = 1.6 \times 10^{-3} \, \text{yr}^{-1} \).### Phosphorus-32**Usage**: Phosphorus-32 is utilized for the analysis of metabolic pathways.**Decay Properties**:- It has a rate constant for radioactive decay of \( k = 0.050 \, \text{day}^{-1} \).---### Problem Statements and Calculations#### Part D**Problem**: How much of a 1.04 mg sample of americium remains after 3 half-lives? **Requirement**: Express your answer in milligrams to two significant figures.**Solution Area**:- Input box for the answer in milligrams.- Submit button for answer evaluation.#### Part E**Problem**: How much of a 2.83 mg sample of phosphorus remains after 3 half-lives? **Requirement**: Express your answer in milligrams to two significant figures.**Solution Area**:- Input box for the answer in milligrams.- Submit button for answer evaluation.#### Part F**Problem**: How much of a 1.00 mg sample of americium remains after 4 days? **Requirement**: Express your answer in milligrams to two significant figures.**Solution Area**:- Input box for the answer in milligrams.- Submit button for answer evaluation.---Each section provides space for students to calculate the remaining amount of a radioactive sample based on its decay properties, stressing the importance of understanding first-order decay kinetics.

Radioactive decays follows first order rate constant.Half life of tye first order rate constant does…

Americium-241 is used in smoke detectors. It has a first order rate constant for radioactive decay of k=1.6 x 10-3 yr-¹. By contrast, phophorus-32, which is used for the analysis of metabolic pathways, has a rate constant for radioactive decay of k = 0.050 day-1 ▼ ▼ Part D How much of a 1.04 mg sample of americium remains after 3 half-lives? Express your answer in milligrams to two significant figures. 15. ΑΣΦ m= Submit Part E m = Submit Request Answer How much of a 2.83 mg sample of phophorus remains after 3 half-lives? Express your answer in milligrams to two significant figures. ΨΕΙ ΑΣΦ Part F Request Answer ? D Π| ΑΣΦ mg How much of a 1.00 mg sample of americium remains after 4 days? Express your answer in milligrams to two significant figures. 11 ? mg

Americium-241 is used in smoke detectors. It has a first order rate constant for radioactive decay of k=1.6 x 10-3 yr-¹. By contrast, phophorus-32, which is used for the analysis of metabolic pathways, has a rate constant for radioactive decay of k = 0.050 day-1 ▼ ▼ Part D How much of a 1.04 mg sample of americium remains after 3 half-lives? Express your answer in milligrams to two significant figures. 15. ΑΣΦ m= Submit Part E m = Submit Request Answer How much of a 2.83 mg sample of phophorus remains after 3 half-lives? Express your answer in milligrams to two significant figures. ΨΕΙ ΑΣΦ Part F Request Answer ? D Π| ΑΣΦ mg How much of a 1.00 mg sample of americium remains after 4 days? Express your answer in milligrams to two significant figures. 11 ? mg

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...

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