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General Chemistry

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Moderate

Kinetics of Decay and Number of Particles Emitted

CHEM-3JZ1VO

$$_{ 92 }^{ 238 }{ U }\longrightarrow _{ 2 }^{ 4 }{ He }+_{ 90 }^{ 234 }{ Th }$$

How many alpha particles $(_{ 2 }^{ 4 }{ He })$ are emitted each second by an 8 g sample of $_{ 92 }^{ 238 }{ U }$?

The half life of $ _{ 92 }^{ 238 }{ U }$ is $4.5 \times \ { 10 }^{ 9 } \ \text{years}$, and mass of Uranium is 238 g.

A

$\ 9.879\times { 10 }^{ 4 } \ \text{decays/second}$

B

$\ 3.117\times { 10 }^{ 12 } \ \text{decays/second}$

C

$\ 1.235\times { 10 }^{ 6 } \ \text{decays/second}$

D

$\ 2.351\times { 10 }^{ 7 } \ \text{decays/second}$