The graph shows how the activity of a sample of radon-220 changes with time. Use the graph to determine its half-life. Calculate the value of decay constant of radon-220.
Answer:
The decay process can be represented as follows: \[_{86}^{220}Ru\to _{84}^{216}Po+_{2}^{4}He\] The mass number and atomic number of Po and He have been indicated in the above equation. The half-life of a radioactive sample is the time in which its activity is reduced to its half of its initial value. From the graph, the activity reduces from initial value \[{{R}_{0}}\]to its half value \[{{R}_{0}}/2\] in 16 days. \[\therefore \] Half-life of radon, \[{{T}_{1/2}}=16\]days Decay constant , \[\lambda =\frac{0.693}{{{T}_{1/2}}}=\frac{0.693}{16}=\text{0}\text{.043da}{{\text{y}}^{\text{-1}}}\]
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