How to derive formula for nucleus decay using this equation?

In summary, the conversation discusses the derivation of the formula N=No*e^k*t, which is derived from the equation Nn=No/2^n where No is the initial number of particles and n represents the number of half lives. The decay constant formula, k=-.693/t, may also be used. The person speaking has not made much progress and is looking for assistance.
  • #1
Gwyndolin
1
0

Homework Statement


The formula being derived is N=No*e^k*t, from the equation Nn=No/2^n where No is the initial number of particles and the lowercase n in the second equation is the number of half lives. The n in Nn just indicates the number of particles after so many half lives. You might also use the formula for the decay constant so feel free to.

Homework Equations


N=No*e^kt
Nn=No/2^n
k=-.693/t

The Attempt at a Solution


I haven't really made any meaningful progress so I leave it to you!
 
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  • #2
Gwyndolin said:

Homework Statement


The formula being derived is N=No*e^k*t, from the equation Nn=No/2^n where No is the initial number of particles and the lowercase n in the second equation is the number of half lives. The n in Nn just indicates the number of particles after so many half lives. You might also use the formula for the decay constant so feel free to.

Homework Equations


N=No*e^kt
Nn=No/2^n
k=-.693/t

The Attempt at a Solution


I haven't really made any meaningful progress so I leave it to you!
Sorry. PF is not a Homework service. You'll have to do the work, and we'll answer questions and make suggestions if you get stuck.
 

Related to How to derive formula for nucleus decay using this equation?

1. What is the equation for nuclear decay and how is it derived?

The equation for nuclear decay is expressed as: N(t) = N0 * e-λt, where N(t) represents the number of atoms remaining after time t, N0 represents the initial number of atoms, and λ represents the decay constant. This equation is derived from the radioactive decay law, which states that the rate of decay of a radioactive substance is directly proportional to the number of atoms present at any given time.

2. How is the decay constant determined in the equation for nuclear decay?

The decay constant, λ, is a characteristic property of each radioactive substance and is determined through experimental data. It can be calculated by measuring the ratio of the number of atoms remaining over time. By plotting this data on a graph, the slope of the line can be used to calculate the decay constant.

3. What factors affect the rate of nuclear decay?

The rate of nuclear decay can be affected by several factors, including the type of radioactive substance, the surrounding environment, and the presence of any stabilizing elements. Additionally, the decay constant can vary for different isotopes of the same element.

4. Can the equation for nuclear decay be used to predict the rate of decay for any radioactive substance?

Yes, the equation for nuclear decay can be used to predict the rate of decay for any radioactive substance as long as the decay constant is known. However, it should be noted that this equation is based on the assumption that the decay process is random and unaffected by external factors.

5. Are there any limitations to using the equation for nuclear decay?

While the equation for nuclear decay is a useful tool for predicting the rate of decay for radioactive substances, it does have its limitations. It is based on the assumption that the decay process is constant and unaffected by external factors, which may not always be the case. Additionally, the equation does not take into account any potential changes in the decay constant over time.

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