Answered: Uranium 239 is an unstable isotope of…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Uranium 239 is an unstable isotope of uranium that decays rapidly. In order to determine the rate of decay, 1 gram of U²³⁹ was placed in a container, and the amount remaining was measured at 1-minute intervals and recorded in the table below. (Let t be the time in minutes and U the number of grams remaining.)

Time in minutes	Grams remaining
0	1
1	0.9710
2	0.9428
3	0.9155
4	0.8889
5	0.8632

(a) Show that these are exponential data. (Round your answer to three decimal places.)

The ratios of successive terms are always , and therefore the data are exponential.

(b) What is the percentage decay rate each minute? (Round your answer to one decimal place.)
%

What does this number mean in practical terms?

This means that % of the remaining uranium decays each minute.

U( )

Calculate that value. (Round your answer to three decimal places.)
g

(d) What is the half-life of U²³⁹? (Round your answer to three decimal places.)
min

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