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If this decay has a half life of 2.60 years, what mass of 72.5 g of sodium 22 will remain after 15.6 years

1 Answer

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Sodium-22 remain : 1.13 g

Further explanation

The atomic nucleus can experience decay into 2 particles or more due to the instability of its atomic nucleus.

Usually, radioactive elements have an unstable atomic nucleus.

General formulas used in decay:


\large{\boxed{\bold{N_t=N_0((1)/(2))^{T/t(1)/(2) }}}

T = duration of decay

t 1/2 = half-life

N₀ = the number of initial radioactive atoms

Nt = the number of radioactive atoms left after decaying during T time

half-life = t 1/2=2.6 years

T=15.6 years

No=72.5 g


\tt Nt=72.5.(1)/(2)^(15.6/2.6)\\\\Nt=72.5.(1)/(2)^6\\\\Nt=1.13~g

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