11. Putting it all together! Radioisotopes are often used in diagnostic imaging for detecting disease. The isotope 64Cu (copper-64), which has a half-life of 12.7 hours, is used to study diseases affecting copper metabolism such as Wilson's disease. What percentage of the original activity in the sample remains after 38.0 hours? Show your work, include units, and pay attention to significant figures. Hint: Remember that this process follows first order kinetics and that half-life is given by: k = 0.693 11

11. Putting it all together! Radioisotopes are often used in diagnostic imaging for detecting disease. The isotope 64Cu (copper-64), which has a half-life of 12.7 hours, is used to study diseases affecting copper metabolism such as Wilson's disease. What percentage of the original activity in the sample remains after 38.0 hours? Show your work, include units, and pay attention to significant figures. Hint: Remember that this process follows first order kinetics and that half-life is given by: k = 0.693 11

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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P Σ %24 A reactant decomposes with a half-life of 103 s when its initial concentration is 0.270 M. When the initial concentration is 0.605 M, this same reactant decomposes with the same half-life of 103 s. What is the order of the reaction? 02 What is the value and unit of the rate constant for this reaction? Units: %3D 9:31 PM ツ 10/24/2021 F10 F11 PrtScr こレゴ Insert Delete 114 & ) Backspace 8. O R. } Enter L. B. Shift N Alt Ctrl PgDn
Cor • Part A The half-life for the radioactive decay of U – 238 is 4.5 billion years and is independent of initial concentration. How long will it take for 16 % of the U – 238 atoms in a sample of U – 238 to decay? Express your answer using two significant figures. Templates Symbols ugdo redo reset keyboard shortcuts help t = уг Submit Request Answer Part B If a sample of U – 238 initially contained 1.3x101° atoms and was formed 6.1 billion years ago, how many U – 238 atoms does it contain today? Express your answer using two significant figures. Templaes Symbols uado redo rest keyboard shortcuts help, N = atoms
The decay behavior of a radioactive substance obeys first order kinetics: In(N/N) = -kt, where N is the amount of radioactive nuclei at time = t seconds, N, is the amount at t = 0 seconds, k is the first order rate constant, and t is the elapsed time. If the half-life of the radioactive nuclei is 10 minutes, calculate the amount that remains after 75 seconds. (Hint: at the first half-life, N = ½ N,.) You should express your result as a percentage.
9. A sample of a compound is found to have a half-life of 14.65 seconds, Answer the following questions regarding this sample. For your calculations, use the value of k that you found in step 4a. k%3D1.22 x 10^-4 a How long would it take for the sample to decompose to where 60.5% of the original sample remains? Show your calculation. b. How long would it take for the sample to decompose to where 35.8% of the original sample remains? Show your calculation.
QUESTION 5: Niobium-89 decays through beta decay to produce yttrium-89 in a first order process with a half-life of 78.4 hours. How many moles of niobium-89 remain after 100 hours if 1 mole is present at the start? How many moles of beta-particles will a 1 mole sample of niobium-89 produce in 100 hours?
Consider the radioisotope ²⁴⁰Pu (half life = 6.56 × 10³ years). What is the first order rate constant for ²⁴⁰Pu?
I was given the below function to describe the half life radioactive decay: N(t)=N0e-kt Where N(t) represents the amount of parent isotope remaining at any time t, N0 is the amount of parent isotope present at time zero (0), and k is the rate constant for a first order reaction such as half-life. Similarly, I was given another function: P(t)=N(t)/N0 P(t) represents the quantity of % remaining at any time t. I was told that P(t) was 0.5 and was asked to calculate the half-life of potassium using both P(t) and N(t) above, however I was not given the rate constant. How would I go about this problem?
Corrected True/False: Indicate whether each statement is true or false by circling the word true or the word false. If false, correct the statement to make it true in the space provided. 10. A physical change usually involves a greater enthalpy change than does a chemical change. True / False 11. In endothermic reactions the products have more kinetic energy than the reactants. True / False 12. The process of nuclear decay is a third order reaction. True / False 13. The rate-determining step is the slowest step in a reaction mechanism. True / False
1. Reaction Kinetics and Dimensional Analysis (a) Consider an example first-order reaction of the nuclear decay of element A: A+B+C where B and C are the products of the decay. The reaction is said to be first-order because, at a given time, the rate at which the molar concentration of A, denoted as [A] (mol/L), decreases is proportional to the molar concentration of A at that time: d[A] dt = -k[A] Here, k, the proportionality constant, is known as the rate constant. Let time be measured in seconds. Determine the units for the rate constant k. b) The dissociation of hydrogen iodide (a.k.a., HI) is a second-order process, which means d[HI] dt = -k[HI]² Let time be measured in seconds. Determine the units for the rate constant k for this particul reaction.
Americium-241 is used in smoke detectors. It has a first order rate constant for radioactive decay of k= 1.6 x 10¹ yr. 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 ▾ How much of a 2.50 mg sample of americium remains after 3 half-lives? Express your answer in milligrams to two significant figures. ▾ TTL = ▾ Part E Submit TIL = How much of a 1.51 mg sample of phophorus remains after 3 half-lives? Express your answer in milligrams to two significant figures. Templates Symbols Undo redo Peser keyboard shortcuts help Templates Symbols Undo redo es keyboard shortcuts Help n Submit Part F TTL= Request Answer How much of a 1.00 mg sample of americium remains after 4 days? Express your answer in milligrams to two significant figures. Part G Submit Request Answer Templates Symbols Undo redo Teset keyboard shortcuts Help n ** Previous Answers Request Answer How much of a 1.35 mg sample of phophorus…
Scientists working in Lake Apoka calculating half-lives of pollutants called volatile organic compounds, often measure a transport rate constant. In one study conducted in the fall of 2010, researchers from the University of Florida found the half-life of a particular pollutant in the lake when the concentration measured 0.835 M was 37.3 days. Assuming that the process is first order, calculate the rate constant of this process.