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What mass of C^(14) with t(1//2) = 5730 ...

What mass of `C^(14)` with `t_(1//2) = 5730` years has activity equal to curie?

A

`1.56 xx 10^(-2)`

B

`3.12 xx 10^(-2)`

C

`4.34 xx 10^(-2)`

D

`7.80 xx 10^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`A = lamda N, 1 xx 10^(-3) xx 3.7 xx 10^(10) = ((0.693 )/(5570 xx 365 xx 24 xx 60 xx 60 )) xxN_t`
`N_t = ((1 xx 10^(-3) xx 3.7 xx 10^(10) xx 5570 xx 365 xx 24 xx 60 xx 60 )/( 0.693 )) =((7522.285 )/( 0.693 )) xx 86400 xx 10^(10)`
`=(( 7.522285 xx 10^3 xx 8.64 xx 10^4 xx 10^(10))/( 0.693 )) =( 7.522285 xx 8.64 )/( 0.693 ) xx 10^(17) = 93.784 xx 10^(17) = 9.3784 xx 10^(18)`
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