A sample initially contains 300 µg of 32Si (31.97415 amu), which decays with ahalf-life of 160 years.What is the initial rate of decay in this sample?a.do euiev d solantonotouboWhat is the rate of decay after 50 years?b.cdaimod lou-Ic. How long does it take for the decay rate to fall to 10% of the initial?

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Asked Dec 9, 2019
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A sample initially contains 300 µg of 32Si (31.97415 amu), which decays with a
half-life of 160 years.
What is the initial rate of decay in this sample?
a.
d
o euiev d solanto
notoubo
What is the rate of decay after 50 years?
b.
cdaimod lou-I
c. How long does it take for the decay rate to fall to 10% of the initial?
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A sample initially contains 300 µg of 32Si (31.97415 amu), which decays with a half-life of 160 years. What is the initial rate of decay in this sample? a. d o euiev d solanto notoubo What is the rate of decay after 50 years? b. cdaimod lou-I c. How long does it take for the decay rate to fall to 10% of the initial?

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Expert Answer

Step 1

The nuclear reactions are a type of chemical processes which lead to the formation of some new nuclei with the emission of certain particles. Usually alpha or beta particles, or gamma rays are emitted as a side product with some new daughter nuclei. The nuclei which shows spontaneous decay with time are called as radioactive nuclei. The radioactive decay follows the first order kinetic and the half-life is inversely proportional to the decay constant of the radioactive decay. 

Step 2

The radioactive decay follows the first order kinetic and the half-life is inversely proportional to the decay constant of the radioactive decay. 

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0.693 t12 here: t12 = half-life 2= decay constant

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Step 3

Given:

Half-life=160 years

Calculate the deca...

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0.693 t12 0.693 λ- 160 years -1 2 = 0.00433 years

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