Calculate the activity of 30 g of radium-226 in Bq and mCi. ( The half-life of...

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Atomic mass of radium is 226.

226g of radium contain avogadro number (6.022X10^23Â Â) of radium atoms.

30g contain (6.022 X 10²³ â€‹/226) X 30 = 8 X 10²² â€‹atoms.

Activity is related to half-life asÂ Â Â Â Â Â Â Â Â Â Â Â Activity= 0.693 X N/ T_1/2 Bq

Substituting, Activity = 0.693 X 8 X 10²² â€‹/ (1600 X 365 X 24 X 60 X 60)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1.76 X 10¹⁵ Bq

Now to express in Ci, Activity = 1.76 X 10¹⁵ â€‹/ 3.7 X 10¹⁰ â€‹Ci

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 4.756 X 10 ⁴â€‹Ci

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 4.756 X 10⁷ mCi

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