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The half life of radium is 1600 years. ...

The half life of radium is 1600 years. How much time does 1g of radium take to reduce to 0.125 g.

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Half - life of radium = 1600 years ,
`(N)/(N_(0))=(1)/(2^(n))rArr (0.125)/(1)=(1)/(2^(n))rArr (125)/(1000)=(1)/(2^(n))rArr (1)/(8)=(1)/(2^(n)) rArr (1)/(2^(3))=(1)/(2^(n))rArr n = 3`
`therefore` Time taken = Half life `xx` no. of Half lives `= 1600xx3=4800` years.
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Knowledge Check

  • The half-life of Ra^(226) is 1620 years. Then the number of atoms decay in one second in 1 g of radium(Avogadro number = 6.023xx omega xx 10^(23) ).

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