How Do You Calculate Particle Density in a Star Using Electron Energy?

Thread starter tanaygupta2000
Start date Apr 11, 2020
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Density Particle Star

In summary, particle density in a star refers to the number of particles present in a given volume of its interior, and is directly related to its mass and size. It plays a crucial role in a star's evolution, as it affects internal pressure and temperature. Particle density can be measured using techniques such as spectroscopy and asteroseismology, and can vary greatly among different types of stars. Giant stars have lower particle densities, while white dwarfs have extremely high particle densities.

Apr 11, 2020

tanaygupta2000

Homework Statement: At what particle density does a completely degenerate electron gas in a star have enough kinetic energy per particle to permit the reaction
p + e + 0.8 MeV -----> n
where p, e and n are proton, electron and neutron respectively. What is the minimum density of the neutron star?

Relevant Equations: The relation between energy E and electron density n is given by :
E = (h^2)/8m (3n/π)^2/3

I am confused whether for electron I have to use rest mass energy (m_oc² + 0.8 MeV) or just 0.8 Mev for calculating E.
Also how do I find minimum density of a neutron star using above data ? Please help !

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Apr 12, 2020

tanaygupta2000

How do I solve such a problem ?

Related to How Do You Calculate Particle Density in a Star Using Electron Energy?

What is particle density in a star?

Particle density in a star refers to the number of particles, such as atoms or molecules, present in a specific volume within the star. It is a measure of how tightly packed the particles are within the star.

How does particle density affect a star?

The particle density in a star is directly related to its mass and size. A higher particle density means that there are more particles in a given volume, resulting in a more massive and compact star. It also affects the temperature and pressure within the star, which can impact its overall stability and lifespan.

How is particle density in a star measured?

Particle density in a star is typically measured using spectroscopy, which involves analyzing the light emitted by the star. By studying the absorption lines in the star's spectrum, scientists can determine the types and amounts of elements present in the star, which can then be used to calculate its particle density.

What factors can influence the particle density in a star?

The particle density in a star can be influenced by several factors, including its age, composition, and stage of evolution. For example, as a star ages and burns through its fuel, the particle density in its core may decrease, leading to changes in its structure and behavior.

How does particle density vary among different types of stars?

The particle density in a star can vary greatly depending on its type. For example, giant stars have lower particle densities compared to smaller, more compact stars like white dwarfs. Additionally, the particle density can also vary within a single star, with the core having a much higher density than the outer layers.