Introduction To General, Organic, And Biochemistry
12th Edition
ISBN: 9781337571357
Author: Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher: Cengage Learning
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Textbook Question
Chapter 9.4, Problem 9.5QC
Problem 9-5
Barium-122 has a half-life of 2 minutes. Suppose you obtained a sample weighing 10.0 g and it takes 10 minutes to set up an experiment in which the barium-122 is to be used. How many grams of barium-122 will remain at the point when you begin the experiment?
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Students have asked these similar questions
Lead-194 has a half-life of 11 minutes. A sample of lead-194 with a mass of 0.149g is allowed to decay for 66 minutes. What mass of lead-194 in grams remains in the sample after 66 minutes?
a. 2.33 x 10 -3
b. 2.48 x 10 -4
c. 2.25 x 10 -4
d. 1.35 x 10 -2
e. no correct response
Potassium-44 decays by beta emission with a half-life of 22 minutes. A 125mg sample of the isotope is allowed to decay for 88 minutes. What mass of K-44 in mg remains in the sample after the 88 minutes?
a. 7.81mg
b. 15.6mg
c. 31.5mg
d. 62.5mg
e. no correct response
How did you get this?
k===0.693t1/20.69315 hrs0.0462 hrs−1k=0.693t1/2=0.69315 hrs=0.0462 hrs
0.693
a 102.0 nanogram(ng) sample of sodium-24 was stored in a lead-lined cabinet for 2.5 days How much sodium-24 remained? The half-life os sodium -24 is 15 hours
_________ ng sodium -24 remain
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Expert Answer
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Step 1
Radioactive decay is a first order reaction.
Conversion of days into hours:
1 day2.5 days===24 hrs2.5×2460 hrs1 day=24 hrs2.5 days=2.5×24=60 hrs
Calculation of k:
k===0.693t1/20.69315 hrs0.0462 hrs−1k=0.693t1/2=0.69315 hrs=0.0462 hrs-1
Step 2
Radioactive decay is a first order reaction, therefore:
[A]=[Ao] e−kt[A]=[Ao] e-kt
where [A] is the final amount remained at time t, [Ao] is the initial amount.
Putting values:
[A]====102.0 ng×e−0.0462 hrs−1×60 hrs102.0 ng×e−2.772102.0 ng×0.062546.38 ng[A]=102.0 ng×e-0.0462 hrs-1×60 hrs=102.0 ng×e-2.772=102.0 ng×0.06254=6.38 ng
Thus 6.38 ng of sodium-24 remained.
Chapter 9 Solutions
Introduction To General, Organic, And Biochemistry
Ch. 9.3 - Problem 9-1 Iodine-139 is a beta emitter. Write an...Ch. 9.3 - Problem 9-2 Thorium-223 is an alpha emitter. Write...Ch. 9.3 - Prob. 9.3QCCh. 9.3 - Problem 9-4 Thallium-201, a radioisotope used to...Ch. 9.4 - Problem 9-5 Barium-122 has a half-life of 2...Ch. 9.5 - Problem 9-6 A radioactive isotope in a 9.0-mL vial...Ch. 9.5 - Prob. 9.7QCCh. 9 - What is the relationship between frequency and...Ch. 9 - How does energy relate to frequency and...Ch. 9 - Prob. 3P
Ch. 9 - 9-10 Microwaves are a form of electromagnetic...Ch. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - 9-14 Write the symbol for a nucleus with the...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - 9-39 If you work in a lab containing radioisotopes...Ch. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - Prob. 53PCh. 9 - Prob. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57PCh. 9 - Prob. 58PCh. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - Prob. 64PCh. 9 - Prob. 65PCh. 9 - Prob. 66PCh. 9 - Prob. 67PCh. 9 - Prob. 68PCh. 9 - Prob. 69PCh. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - Prob. 77PCh. 9 - Prob. 78PCh. 9 - Prob. 79PCh. 9 - 9-86 is effective in prostate cancer therapy when...Ch. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 83PCh. 9 - Prob. 84PCh. 9 - Prob. 85PCh. 9 - Prob. 86PCh. 9 - Prob. 87PCh. 9 - Prob. 88PCh. 9 - Prob. 89PCh. 9 - Prob. 90PCh. 9 - Prob. 91PCh. 9 - Prob. 92PCh. 9 - Prob. 93PCh. 9 - Prob. 94PCh. 9 - Prob. 95P
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- Problem 9-1 Iodine-139 is a beta emitter. Write an equation for this nuclear reaction and identify the product formed.arrow_forwardProblem 9-6 A radioactive isotope in a 9.0-mL vial has an intensity of 300. mCi. A patient is required to take 50. mCi intravenously. How much liquid should be used for the injection?arrow_forwardProblem 9-2 Thorium-223 is an alpha emitter. Write an equation for this nuclear reaction and identify the product formed.arrow_forward
- Problem 9-4 Thallium-201, a radioisotope used to evaluate heart function in exercise stress tests, decays by electron capture and gamma emission. Write an equation for this nuclear decay and identify the product.arrow_forwardA reaction believed to be either first or second order has a half-life of 20 s at the beginning of the reaction but a half-life of 40 s sometime later. What is the order of the reaction?arrow_forwardConsider the following potential-energy curves for two different reactions: a. Which reaction has a higher activation energy for the forward reaction? b. If both reactions were run at the same temperature and have the same orientation requirements to react, which one would have the larger rate constant? c. Are these reactions exothermic or endothermic?arrow_forward
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