Nucleocosmochronology: hydrogen/helium ratio and its change

In summary, the question asks for the maximum fraction of mass that could have been converted from hydrogen to helium in a galaxy with a mass-to-light ratio of 10 solar units over a period of 10 billion years. The solution involves using the equation \frac{N}{N_0} = e^{-\lambda t_s} and determining the half-life for the proton-proton reaction. The mass deficit for the reaction also needs to be taken into consideration.
  • #1
Logarythmic
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Homework Statement


Assume that the mass-to-light ratio, M/L, for the galaxy is, and has always been, 10 in solar units. What is the maximum fraction of the total mass that could have been burnt into helium from hydrogen over [itex]10^{10}[/itex] years? (The mass deficit for the reaction [itex]4H \rightarrow ^4He[/itex] is 0.7%)


2. The attempt at a solution
"10 in solar units" should mean

[tex]\frac{M}{L} = 10 \frac{M_{\odot}}{L_{\odot}}[/tex]

but then what? This is a basic nuclear physics problem, isn't it?
 
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  • #2
Can I use

[tex]\frac{N}{N_0} = e^{-\lambda t_s}[/tex]

and put [itex]t_s = 10^{10}[/itex]? If so I need to know the "half-life" for the proton-proton reaction. But there is something with the mass deficit aswell... As you can see, I'm not too good at nuclear physics.
 

1. What is nucleocosmochronology?

Nucleocosmochronology is the study of the ages of celestial bodies and the universe as a whole, using the abundance of certain elements and their isotopes.

2. Why is the hydrogen/helium ratio important in nucleocosmochronology?

The hydrogen/helium ratio is important because it is a fundamental indicator of the age and evolution of the universe. As the universe ages, the ratio of these elements changes due to nuclear fusion processes.

3. How is the hydrogen/helium ratio measured?

The hydrogen/helium ratio is measured using spectroscopy, which involves analyzing the light emitted by celestial bodies and looking for specific spectral lines that correspond to the presence of hydrogen and helium.

4. What does the change in hydrogen/helium ratio tell us about the age of the universe?

The change in hydrogen/helium ratio tells us that the universe is expanding and getting older. As more time passes, more hydrogen atoms are converted into helium through nuclear fusion, resulting in a decrease in the hydrogen/helium ratio.

5. How does nucleocosmochronology contribute to our understanding of the universe?

Nucleocosmochronology helps us determine the age and evolution of the universe, providing important insights into the processes that have shaped our universe and the formation of celestial bodies such as stars and galaxies. It also helps us test and refine theories about the origin and development of the universe.

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