If 50% of a radioactive substance dissociates in 15 min, then the time taken by substance to dissociate 99% will be

Question

If 50% of a radioactive substance dissociates in 15 min, then the time taken by substance to dissociate 99% will be

If 50% of a radioactive substance dissociates in 15 min, then the time taken by substance to dissociate 99% will be
A. 50 min
B. 100 min
C. 99 min
D. 150 min

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
Radioactive disintegration is a first order reaction,
`k=(0.693)/(t_(1//2))=(0.693)/(15)" "(Given, t_(1//2)=15min)`
=0.0462
Given, a=100, x=99 t=?
`or" "0.0462=(2.303)/(t)"log"(100)/(100-99)`
`=(2.303)/(t)" log "100` `or" "0.0462xxt =2.303xx2`
`therefore" "t=(2.303xx2)/(0.0462)=99min`

5 views Answered 2023-02-05 15:29