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Chapter 42: Q 20 Exercise (page 1236)

A sample of 1.0x1010atoms that decay by alpha emission

has a half-life of 100 min. How many alpha particles are emitted

between t = 50 min and t = 200 min?

Short Answer

Expert verified

Therefore 4.57×109atomsare emitted between t=50 min and t = 200 min.

Step by step solution

01

Given information

t1/2=100minNo=1.0×1010atoms

02

Explanation

To begin, we must determine the number of radioactive atoms at time t = 50 minutes:

N50=No12t/t1/2N50=1.0×1010atoms1250min/100minN50=7.07×109atoms

We determine the number of radioactive atoms at time t = 200 minutes:

N200=No12t/t1/2N200=1.0×1010atoms12200min/100minN200=2.50×109atoms

03

Explanation

We determine the number of radioactive atoms between time t = 50 minutes and 200 minutes:

Ndecay=N50-N200Ndecay=7.07×109atoms-2.50×109atomsNdecay=4.57×109atoms

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Most popular questions from this chapter

The uranium isotope U238is naturally present at low levels in many soils. One of the nuclei in the decay series of U238is the radon isotope R222n, which decays by emitting a localid="1650487447445" 5.50MeValpha particle with localid="1650487458663" t1/2=3.82days. Radon is a gas, and it tends to seep from soil into basements. The Environmental Protection Agency recommends that homeowners take steps to remove radon, by pumping in fresh air, if the radon activity exceeds 4pCiperliterof air.

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a. Suppose the sun collapses into a neutron star. What will its radius be? Give your answer in km.

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