calculate the number of alpha and beta particles emitted by 92U²³⁸ to 82pb²⁰⁸.
Answers
Answer:
There are 8 α - emissions and 6 β - emissions
Explanation:
SORRY BRUH, BUT THERE IS A MISTAKE IN THE QUESTION, IT WOULD BE ₈₂Pb²⁰⁶
There is a transition from ₉₂U²³⁸ to ₈₂Pb²⁰⁶
Few things to be noticed -
1. There is a change in the mass number
2. There is a change in the atomic number
Things to keep in mind -
1. When an alpha emission occurs, the mass number decreases by 4 and the atomic number decreases by 2.
2. When a beta emission occurs, the mass number remains same but the atomic number increases by 1.
Solution -
Change in mass number - 238 - 206 = 32
Since, mass of every alpha particle is 4,
Let the number of alpha particles be α
4 α = 32
α = 8
Since, 8 alpha particles are released, the atomic number changes to 92 -2X 8 = 92-16= 76.
But the atomic number is 82, which shows there are beta emissions.
Let number of β - emissions be β
82 - β = 76
β = 6.
ANS - There are 8 α - emissions and 6 β - emissions
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