Whats is volume of mass at the centre of the sun

karen_lorr

Thank you

Orion1

Whats is volume of mass at the center of the sun?

Total solar radius:
[tex]R_{\odot} = 6.955 \cdot 10^8 \; \text{m}[/tex]
Inside 24% of the Sun's radius, 99% of the power has been generated, and by 30% of the radius, fusion has stopped nearly entirely.

Active solar core fusion radius:
[tex]r_f = 0.3 R_{\odot}[/tex]
Average active fusion core volume:
[tex]V_f = \frac{4 \pi r_f^3}{3} = 3.805 \cdot 10^{25} \; \text{m}^3[/tex]
[tex]\boxed{V_f = 3.805 \cdot 10^{25} \; \text{m}^3}[/tex]

I am trying to get a visualization of dimension of a certain amount of mass within the core of the sun?

The proton–proton chain occurs around 9.2×10^37 times each second in the core of the Sun. This reaction uses four free protons (hydrogen nuclei).

Solar core fusion reaction rate:
[tex]\frac{dn}{dt} = 9.2 \cdot 10^{37} \; \frac{\text{fusions}}{\text{s}}[/tex]
Solar mass fusion reaction rate:
[tex]\frac{dm}{dt} = 4 m_p \frac{dn}{dt} = 6.155 \cdot 10^{11} \; \frac{\text{kg}}{\text{s}}[/tex]
[tex]m_p - \; \text{proton mass}[/tex]
[tex]\boxed{\frac{dm}{dt} = 6.155 \cdot 10^{11} \; \frac{\text{kg}}{\text{s}}}[/tex]

But if you could "see" it, how much space would this lot take up.

One-third the present volume of the Sun.

Reference:
Solar - core - Wikipedia

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jimgraber

Simple nitpick: one third radius = 1/27 volume, or .3 radius -> .027 volume.
Still pretty large. I would have guessed much smaller.
Best,
Jim Graber