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A radioactive isotope .(Z)X^(A) is conve...

A radioactive isotope `._(Z)X^(A)` is converting into `._(Z-8)Y^(A-16)` by `alpha`-decay. If g-atoms `._(Z)X^(A)` produced 3 mole of He atoms in 20 hours, then calculate the half life of `._(Z)X^(A)` (in hours).

A

10

B

5

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
`{:(._(Z)X^(A)to,Y+,4_(2)^(4)He,),("1 mole",,"4 mol",),(1-x,,4x,),(,,4x=3,),(,,x=(3)/(4),):}`
`K=(1)/(20)ln4`
`t_(1//2)=(ln2)/((1)/(10)ln2)`
`t_(1//2)=10" hrs. "]`
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