\( { }_{84} \mathrm{Po}^{210} \) decays with \( \alpha \)-particle ...

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\( { }_{84} \mathrm{Po}^{210} \) decays with \( \alpha \)-particle to \( { }_{82} \mathrm{~Pb}^{206} \) with a half life of \( 138.4 \) day. If \( 1.0 \mathrm{~g} \) of \( { }_{84} \mathrm{Po}^{210} \) is placed in a sealed tube, how much helium will accumulate in \( 69.2 \) day? Express the answer in \( \mathrm{cm}^{3} \) at \( 1 \mathrm{~atm} \& 273 \mathrm{~K} \).
\( \mathrm{P} \) Also report the volume of \( \mathrm{He} \) formed if \( 1 \mathrm{~g} \) of \( \mathrm{Po}^{210} \mathrm{O}_{2} \) is used. [Take: [ \( \left.\left[\mathrm{e}^{-\frac{693}{2}}=.7\right]\right] \)

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