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The half-life of ""(92)^(238)U undergoin...

The half-life of `""_(92)^(238)U` undergoing a-decay is `4.5 xx 10^9` years. What is the activity of 1g sample of `""_(92)^(238)U`?

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(a) The activity of a sample of radioactive nucleus equals to its decay rate (or number of nuclei decaying per unit time).
It.s SI unit is disintegration/s or becquerel
(b) `R = lambda N`
`= (log_(e) 2xx 25.3 10^(20) xx 10)/( 4.5 xx 10^(9) )`
`= ( 0.6931 xx 25.3 xx 10^(21) )/( 4.5 xx 109 xx 365 xx 24 xx 60 xx 60)`
`=1.24 xx 10^(5)` dps
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