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How long will it take before twenty percent of our 1,000-gram sample of uranium-235 has decayed? [See Section 6.6 Example 13] Which is this: A(t) = A0 (1 / 2)t/T where • A0 is the amount initially present • T is the half-life of the substance • t is the time period over which the substance is studied • y is the amount of the substance present after time t The decay equation is A0 eKt , where t is the time for the decay, and K is the characteristic of the material. Suppose T is the time it takes for half of the unstable material in a sample of a radioactive substance to decay, called its half-life. Prove that K = ln0.5 / T  . What is K for the uranium-235?

How long will it take before twenty percent of our 1,000-gram sample of uranium-235 has decayed? [See Section 6.6 Example 13] Which is this: A(t) = A0 (1 / 2)t/T where • A0 is the amount initially present • T is the half-life of the substance • t is the time period over which the substance is studied • y is the amount of the substance present after time t The decay equation is A0 eKt , where t is the time for the decay, and K is the characteristic of the material. Suppose T is the time it takes for half of the unstable material in a sample of a radioactive substance to decay, called its half-life. Prove that K = ln0.5 / T  . What is K for the uranium-235?

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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  How long will it take before twenty percent of our 1,000-gram sample of uranium-235 has decayed? [See Section 6.6 Example 13] Which is this: A(t) = A0 (1 / 2)t/T
where
• A0 is the amount initially present
• T is the half-life of the substance
• t is the time period over which the substance is studied
• y is the amount of the substance present after time t

The decay equation is A0 eKt , where t is the time for the decay, and K is the characteristic of the material. Suppose T is the time it takes for half of the unstable material in a sample of a radioactive substance to decay, called its half-life. Prove that K = ln0.5 / T  . What is K for the uranium-235? Show the steps of your reasoning.

 

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