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Relatively low mass stars can be shown to have their radii dependent on their mass as;

R[itex]\propto[/itex]M^{1/2}

From this, show that the temperature in kelvin at the centre of such a star can be estimated to be

[itex]\approx[/itex]24[itex]\times[/itex]10^{6}(M/M_{solar})^{1/2}

Relevant Equations:

T_{c}=(2/3ℝ)[itex]\times[/itex]P_{c}[itex]\times[/itex](R^{3}/M)

Attempt at a Solution:

I tried to sub in the relation between R and M of the star, but to be quite honest I didn't see myself getting very far...Any pointers at all would be much appreciated! Not too sure on this one.

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# Estimation of central temperature of a star

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