9. The amount of a radioactive substance that is remaining after t years is given by A(t) = Agekt. Suppose I initially have 40 grams of this substance, and that after 5 years, 38 grams of the substance remains. (a) Find the exact value of the decay constant k. (b) How long will it take for only 10 grams of the substance to remain? Round your answer to one decimal place, and write your answer in a sentence.

9. The amount of a radioactive substance that is remaining after t years is given by A(t) = Agekt. Suppose I initially have 40 grams of this substance, and that after 5 years, 38 grams of the substance remains. (a) Find the exact value of the decay constant k. (b) How long will it take for only 10 grams of the substance to remain? Round your answer to one decimal place, and write your answer in a sentence.

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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Writing and Balancing Nuclear Equations

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9. The amount of a radioactive substance that is remaining after t years is given by A(t) = Agekt.
Suppose I initially have 40 grams of this substance, and that after 5 years, 38 grams of the
substance remains.
(a) Find the exact value of the decay constant k.
(b) How long will it take for only 10 grams of the substance to remain? Round your answer
to one decimal place, and write your answer in a sentence.

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[References] Use the References to access important values if needed for this question. Radioactive decay can be described by the following equation In A = In Ag - kt where Ag is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance. For the radioactive isotope chromium-51, k is 2.50 x 10-2 days . If the original amount of chromium-51 in a sample is 29.2 mg, how much chromium-51 remains after 30.5 days have passed? mg Submit Answer Retry Entire Group No more group attempts remain
You have a 3.00 g sample of chromium-51, which has a half-life of 27.8 days. How long will it take for this sample to decay until only 0.375 g remains? Draw the timeline and circle the answer.
In order to solve for the rate constant, k, in two steps you must: Step One Add the same expression to each side of the equation to leave the term that includes the variable by itself on the right- hand side of the expression: (Be sure that the answer field changes from light yellow to dark yellow before releasing your answer.) +[A] - kt + [A], Drag and drop your selection from the following list to complete the answer: 1 1 [A.] -[Ao] - [A.] [Ao] Submit
Be sure to answer all parts. How much phosphorus−32 remains from a 1.00 g sample after each of the following number of half-lives: (a) 3; (b) 8? (a) g of phosphorus−32 remains. (b) g of phosphorus−32 remains.
Strontium-90 is a radioactive material that decays according to the function A(t)=A0e−0.0244t, where A0 is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 500 grams ofstrontium-90. (a) What is the decay rate of strontium-90? (b) How much strontium-90 is left after 40years? (c) When will only 300 grams of strontium-90 be left? (d) What is the half-life of strontium-90?