Determine the amount of `._84Po^(210)` necessary to provide a source of `alpha` particles of 5 millicurie strength. The half life of Po is 138 days.
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Here, mass of Po=? Strength of source, `(dN)/(dt)`=5milicurie `=5xx3.7xx10^7` disintegration/sec. Half life, T=138 days `=138xx24xx60xx60sec` `=1.192xx10^7sec` `lambda=0.693/T=0.693/(1.192xx10^7)sec^-1` As `(dN)/(dt)=lambdaN` `:. N=(dN//dt)/lambda=(5xx3.7xx10^7xx1.192xx10^7)/0.693` `=3.18xx10^(15)` By defination of Avogadro's number Mass of `6.023xx10^(23)` atoms of Po=210gm `:.` Mass of `3.18xx10^(15)` atoms of Po `=(210xx3.18xx10^(15))/(6.023xx10^(23))g` `=1.11xx10^-6g`
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