Question

A scientist receiving a new sample of plutonium knows that the sample will not be of use to him after 90 percent of the radioactive material in the sample has disintegrated. If the half-life of this particular plutonium isotope is 113 days, for how many days after the sample arrives will the scientist be able to make use of the plutonium?

Answer 1

Answer:

375.37787 days

Step-by-step explanation:

After 90% of the sample is gone, it is of no use. This leaves 10% intact. So:

.5^x=10%=.1

.5^x=.1

log .5^x=log .1

x log .5=log .1

x=3.321928

3.321928 x 113=375.37787 days before the sample is unusable ..........

Answer 2

The scientist will have 375.37787 days after the sample is received before they may use the plutonium.

What is radioactive material?

Chemicals in the class of radionuclides, known as radioactive materials, They stabilize themselves by altering the nucleus.

It is useless once 90% of the sample has been consumed. This preserves 10% of the original.

Let the half-life of the new sample will is x.

5^x= 10 %        (10%=.1)

.5^x=.1

log 5ˣ=log .1

x log .5=log .1

x=3.321928

If the half-life of this particular plutonium isotope is 113 days, then the number of days after the sample arrives is;

⇒ 3.321928 × 113

⇒375.37787 days

Hence, the number of days after the sample arrives, will the scientist be able to make use of the plutonium will be 375.37787 days.

To learn more, about the radioactive material, refer;

https://brainly.com/question/3542572

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