Question

Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 115 days. Provide 3 decimal places and a label in your answer.

Answer 1

Left amount of Polonium-210 after 115 days will be 4.5927 microgram

Step-by-step explanation:

We have given initial mass of Polonium-210
`N_0=10microgram`

Decay rate x= 0.502% = 0.00502

Time t = 115 days

We have to find the left amount of Polonium -210 after 115 days

We know that left amount is given by

`N=N_0e^(-xt)=10e^(-0.00502* 115)=4.5927microgram`

So left amount of Polonium-210 after 115 days will be 4.5927 microgram