Question
The half-life of $_{8}^{15} \mathrm{O}$ is 122 s. How much time does it take for the number of $_{8}^{15} \mathrm{O}$ nuclei in a given sample to decrease by a factor of $10^{-4} ?$
Step 1
Step 1: The decay equation due to radiation is given by $N = N_0 e^{-\lambda t}$, where $N$ is the number of particles at a given time point, $N_0$ is the initial number of particles, $\lambda$ is the decay constant, and $t$ is the time. Show more…
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The half-life of ${ }_{8}^{15} \mathrm{O}$ is 122 s. How long does it take for the number of ${ }^{15} \mathrm{O}$ nuclei in a given sample to decrease by a factor of $10^{-4} ?$
The half-life of ${ }_{8}^{15} \mathrm{O}$ is $122 \mathrm{~s}$. How long does it take for the number of ${ }_{8}^{15} \mathrm{O}$ nuclei in a given sample to decrease to $\frac{1}{128}$ of its original value?
The nucleus ${ }_{8}^{15} \mathrm{O}$ has a half-life of $122.2 \mathrm{~s} ;{ }_{8}^{19} \mathrm{O}$ has a half-life of $26.9 \mathrm{~s}$. If at some time a sample contains equal amounts of ${ }_{8}^{15} \mathrm{O}$ and ${ }_{8}^{19} \mathrm{O}$, what is the ratio of ${ }_{8}^{15} \mathrm{O}$ to ${ }_{8}^{19} \mathrm{O}$ (a) after 3.0 min and (b) after $12.0 \mathrm{~min} ?$
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