Equations, radioactive decay

Suppose the initial number of nuclei of a radioactive nuclide is N0, and that the half-life is T. Then the amount of parent nuclei remaining at a time t can be written as Nx = NQ( /2)(tlT>. This relationship is called the radioactive decay equation. What is the number of daughter nuclei present at time t, expressed in terms of N0 and Nx ... 

Use the radioactive decay equation to eliminate N0 and Nx from your answer to question 2. 

Note that the daughter nucleus has two fewer protons and two fewer neutrons than the parent, resulting in a different element. In this particular case, uranium has decayed to thorium. In radioactive decay equations, the total mass number A on the left side must equal the total mass number on the right. In the example above, Afefttotal = 235, while Anghttotal = 231 + 4 = 235. In addition, the total proton number on the left side of the equation must be equal to total proton number on right side (92 = 90 4- 2). So, in any nuclear reaction, there is conservation of mass number and charge. 

Radioactive Decay Equations, Magnitudes, and Units Radioactive decay is a random process, being impossible to tell which particular atom from a group of atoms will decay at a specific moment. It is then only possible to talk about the average... 

The relationship between the decay constant X and the half-life tll2 can be derived from the general radioactive decay equation... 

The rubidium-strontium geochronometer used in the Rb-Sr geochronological method is based on the radioactive 3 -decay of Rb to Sr. The growth of radiogenic Sr in a Rb rich mineral can be described by the following Equation (9.6). In the rubidium-strontium age dating method, the radioactive Rb isotope with a natural isotope abundance of 27.85 % and a half-hfe of 4.88 X 10 ° years is fundamental to the 3 decay to the isobar Sr. The equation for the Rb-Sr method can be derived from the general equation of radioactive decay (Equation 8.8 in Section 8.8) ... 

For each sample, the pj and P2 ratios were calculated using the radioactive decay equations for U, U and Th (equations (1) and (2)). 

Radioactive Decay Equations General Decay Equations... 

Same depths, eddy diffusion coefficient, and ad-vection as in Figure 12. Solid curves eddy diffusion, advection, and radioactive decay. Equations 52, 59. Dashed curves eddy diffusion, advection, decay, and production. Equation 62. 

Consider the radioactive-decay equation given below. What is the most likely identity of X ... 

Note that this equation looks similar to the equation for radioactive decay, equation (2.5), except for the additional term. Because of that term, the solution is somewhat... 

---