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Use the graph below to answer the following questions. Assume one atom produces one count per minute. Do not include units in your answers. Counts per minute 80 70 60 50 40 30 20 10 0 1 2 3 4 Time (Days) 40 9 10

Use the graph below to answer the following questions. Assume one atom produces one count per minute. Do not include units in your answers. Counts per minute 80 70 60 50 40 30 20 10 0 1 2 3 4 Time (Days) 40 9 10

Chemistry
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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a. How many atoms are in the original sample size of this radioisotope? b. How long is the half-life in days? c. How many atoms are left after 2 half-lives? d. Approximately how many days would have to pass for there to be only 2.5 atoms of the sample remaining?
Transcribed Image Text:a. How many atoms are in the original sample size of this radioisotope? b. How long is the half-life in days? c. How many atoms are left after 2 half-lives? d. Approximately how many days would have to pass for there to be only 2.5 atoms of the sample remaining?
Use the graph below to answer the following questions. Assume one atom produces one count per minute. Do not include units in your answers. Counts per minute 80 70 60 50 40 30 20 10 0 0 1 2 3 4 5 Time (Days) 6 7 8 9 10
Transcribed Image Text:Use the graph below to answer the following questions. Assume one atom produces one count per minute. Do not include units in your answers. Counts per minute 80 70 60 50 40 30 20 10 0 0 1 2 3 4 5 Time (Days) 6 7 8 9 10
Expert Solution
Step 1: Formulas required to solve the problem

Answer:

For a nuclear decay reaction,

straight N equals straight N subscript 0 straight e to the power of negative straight lambda straight t end exponent

Here:

straight lambda equals decay space constant straight N subscript 0 equals number space of space atoms space present space in space sample space initially straight N equals number space of space atoms space present space in space sample space at space time space straight t


Also,

straight t subscript 1 divided by 2 end subscript equals fraction numerator 0.693 over denominator straight lambda end fraction

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