
A sample contains 92% stable 40 Ar and 8 % unstable 39 Ar. The half life...
Question 27: A sample contains 98% stable 1271(lodine) and 2 % unstable 1311. The half life of the unstable 1311 is 8 days. Calculate the activity (the number of decay per second) for one gram of this sample. (8%) Answer: -
Suppose a radioactive sample initially contains N0 unstable nuclei. These nuclei will decay into stable nuclei, and as they do, the number of unstable nuclei that remain, N(t), will decrease with time. Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time t: N(t)=N0e−λt, where λ is known as the decay constant. Note that at t=0,...
The average banana contains about half a gram of potassium. Of that, 0.012% is radioactive K-40, with a half-life of 1.251×109 years. Calculate the number of atoms that decay in one hour from a banana.
The half-life of Potassium-40 (K-40) decaying to Argon-40 (Ar-40) is 1.3 billion years. Suppose an igneous rock contains 105 million atoms of Ar-40 and 15 million atoms of K-40. (Assume here that no Ar-40 was present in the mineral when it formed and that no Ar-40 has escaped since formation). Using the number of half-lives from the previous question, how old is this rock? 2.6 billion years old 5.2 billion years old 3.9 billion years old 1.3 billion years old
Only problem 8 please.
8. Consider the three component decay in Problem 7. The
half-life of the orig- inal nucleus is one day. The half-life of
the second nuclide is two days, while the third nuclide is stable.
The initial number of particles for nuclide A is 10,000, while
nuclides B and C have no initial particles. Plot the number of
particles from 0 to 10 days using ODE45 in MATLAB.
Problem 7 Consider the case where we have the...
4. The half-life of a sample has been defined as the time it takes for half of a sample to decay. The fifth-life can be defined as the time it takes for one-fifth of a sample to decay. Given these definitions, calculate the fifth-life of a sample that has a half-life of 29 years.
4. The half-life of a sample has been defined as the time it takes for half of a sample to decay. The fifth-life can be defined as the time it takes for one-fifth of a sample to decay. Given these definitions, calculate the fifth-life of a sample that has a half-life of 29 years.
The half-life of 131I is 8.04 days. (a) Convert the half-life to seconds. (b) Calculate the decay constant for this isotope. (c) Convert 0.350 μCi to the SI unit the becquerel. (d) Find the number of 131I nuclei necessary to produce a sample with an activity of 0.350 μCi. (e) Suppose the activity of a certain 131I sample is 6.10 mCi at a given time. Find the number of half-lives the sample goes through in 40.2 d and the activity...
The half-life of 131I is 8.04 days. (a) Convert the half-life to seconds. s (b) Calculate the decay constant for this isotope. s−1 (c) Convert 0.650 μCi to the SI unit the becquerel. Bq (d) Find the number of 131I nuclei necessary to produce a sample with an activity of 0.650 μCi. 131I nuclei (e) Suppose the activity of a certain 131I sample is 7.10 mCi at a given time. Find the number of half-lives the sample goes through in...
The unstable isotope 40K is used for dating rock samples. Its half-life is 1.28×109y. How many decays occur per second in a sample containing 1.61×10−6 g of 40K? What is the activity of the sample in curies?