Polonium-210 is a radioactive substance. To find the next week’s amount of polonium-210, we multiply this week’s amount by 0.97. Suppose there is initially 10 grams of polonium-210. Round to two decimal places. Write a formula that gives the amount P, in grams, of polonium-210 present after t weeks as an exponential function of t. How long will it take before there is only 1 gram remaining? Find the half-life of polonium-210.

Answered: Polonium-210 is a radioactive…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Polonium-210 is a radioactive substance. To find the next week’s amount of polonium-210, we multiply this week’s amount by 0.97. Suppose there is initially 10 grams of polonium-210. Round to two decimal places.

Write a formula that gives the amount P, in grams, of polonium-210 present after t weeks as an exponential function of t.

How long will it take before there is only 1 gram remaining?

Find the half-life of polonium-210.

Expert Solution

Step 1

Given:

The initial amount of polonium- 210 = 10gm.

We need to find

(i) a formula that gives the amount P, in grams, of polonium-210 present after t weeks as an exponential function of t.

(ii) the time it will take before there is only 1 gram remaining

(iii) to find the half-life of polonium-210.

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