If there are G grams of tritium 3H (a radioactive form of hydrogen) in a container, then as a result of radioactive decay, 1 year later there will be 0.945G grams of tritium left. The following expresses the number of grams G of grams left after t years. G = initial value ✕ 0.945t Show that it takes the same amount of time for 100 grams of heavy hydrogen to decay to 50 grams as for 50 grams to decay to 25 grams. Rewrite the above formula to represent decay from 100 grams to 50 grams. = 100 ✕ 0.945t Solve this equation for t. (Round your answer to two decimal places.) t = yr Repeat this process for decay from 50 grams to 25 grams. (Round your answer to two decimal places.) t = yr How long will it take for 100 grams of tritium to decay to 6.25 grams? (Note: You can do this without your calculator!) t = yr

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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If there are G grams of tritium 3H (a radioactive form of hydrogen) in a container, then as a result of radioactive decay, 1 year later there will be 0.945G grams of tritium left. The following expresses the number of grams G of grams left after t years.

G = initial value ✕ 0.945t

Show that it takes the same amount of time for 100 grams of heavy hydrogen to decay to 50 grams as for 50 grams to decay to 25 grams.

Rewrite the above formula to represent decay from 100 grams to 50 grams.
= 100 ✕ 0.945t

Solve this equation for t. (Round your answer to two decimal places.)
t = yr

Repeat this process for decay from 50 grams to 25 grams. (Round your answer to two decimal places.)
t = yr

How long will it take for 100 grams of tritium to decay to 6.25 grams? (Note: You can do this without your calculator!)
t = yr

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