Question

please explain

6. Suppose 1-g sample of pure 226Ra is placed in a sealed container. Com- pute the quantity of helium present in the container after four weeks.

Answer 1

Bolu Guen Radar ir radioactive element with half life of 1600 years. In nature, there are a large number of atomic nuclei that can spontaneously emit elementary partiler or nuclear fragments. Such phenomenon is called radioactive decay. As a result of the experiments, the derived radiouitive decay law is given by ON =-X.N where, N & is the amount of radioactive material is decay constant depends on radioactive substance sign indicates the decay of material ve a egn & is solved to -Xot N . N(A) = No é Half life (81) Half life . . Period time (t) The to time required to decayed half of its initial value - sot No - Noie = 2 In a - t1/2 =

Coming to giun problem, half life of given Radrem Rath is 160o your Initial amount of Ras - 12m (N.) - 19m ty = 1600 year = 4600X52 = 1600 Y 365 = 5,84,000 days x = ln a = 0.693 - 1.1874 108 day! 5,84,000 Now, the amount of Raab after 4 weeks is given by -入七 N = No en 26 7 - 187*10*447 - 1xe That weknow - 0.999966 gror amoant of Rod26 rearted to decayed into Radon and helium is 1-0.999966 = 3.323* 10 gr the decay as follow Radium Radon + Helium 226 2224 Ra - 86 kn + He 1 mol of Ra som Imol of Helin o (rearted - Ra reacted = 3.323 * 10 moles of = 1-47x10 m 226 -7 moer of Helium formed = 1.47*10* Amount of Helum after - 1.47410 + 4. 4 weeks He = 5.88 +10 gm