<p>Suppose we have a density model</p>
<p><span class="math-container">$$ρ = ρ_c (1-r/R)$$</span></p>
<p>where <span class="math-container">$ρ$</span> is density, <span class="math-container">${}_c$</span> means central, and <span class="math-container">$R$</span> is the stellar radius.</p>
<p>Let's call the temperature for that fusion process to begin, <span class="math-container">$T_f$</span>.</p>
<p>I want to know the minimal stellar mass for a certain fusion to begin.
I made some assumptions, for example the values of X, Y, and μ. So if the gas is non degenerative and non relativistic, we have</p>
<p><span class="math-container">$$P = \dfrac{ρκΤ}{μm_h}$$</span></p>
<p>But im not sure what to do with the pressure. I have <span class="math-container">$T,μ$</span>, can obtain <span class="math-container">$ρ(M,R)$</span>. Maybe I can use virial?</p>

CC BY-SA 4.0
2020-12-09T00:48:16.500Z
What fusion process are you considering? Hydrogen? Helium? Or heavier?
Daddy Kropotkin
CC BY-SA 4.0
2020-12-09T05:34:05.273Z
Sounds like a homework question.
ProfRob
<star><nucleosynthesis>
Mass required for a certain fusion process
omysoulll
# Mass required for a certain fusion process

(Asked by: username_0 on 2020-12-08)

Suppose we have a density model

$$ρ = ρ\_c (1-r/R)$$

where $ρ$ is density, ${}\_c$ means central, and $R$ is the stellar radius.

Let's call the temperature for that fusion process to begin, $T\_f$.

I want to know the minimal stellar mass for a certain fusion to begin.
I made some assumptions, for example the values of X, Y, and μ. So if the gas is non degenerative and non relativistic, we have

$$P = \dfrac{ρκΤ}{μm\_h}$$

But im not sure what to do with the pressure. I have $T,μ$, can obtain $ρ(M,R)$. Maybe I can use virial?

**Tags:** star, nucleosynthesis
> **Comments:**
> **username_1**: What fusion process are you considering? Hydrogen? Helium? Or heavier?  
> **username_2**: Sounds like a homework question.  

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## 0 answers

