Question

The Sun is a hot plasma (ion-
ized matter) with its inner core
at a temperature exceeding 107
K, and its outer surface at a
temperature of about 6000 K.
At these high temperatures, no
substance remains in a solid
or liquid phase. In what range
do you expect the mass density
of the Sun to be, in the range
of densities of solids and liquids
or gases? Check if your guess is
correct from the following data:
mass of the Sun = 2.0 x 10³⁰ kg,
radius of the Sun = 7.0 x 10⁸ m.
​

Answer 1

Answer:

The density of the Sun is in the density range of solids and liquids. This high density is attributed to the intense gravitational attraction of the inner layers on the outer layer of the Sun

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Answer 2

$\fbox{\texttt{\green{Answer:}}}$

Density of the sun = $\bold{1391.8\:kgm^{-3}}$ (in the range of densities of solids and liquids)

$\fbox{\texttt{\pink{Given:}}}$

Mass (M) of the sun = $\bold{2.0\times{}10^{30}\:kg.}$

Radius (R) of the sun = $\bold{7.0\times{}10^{8}\:m.}$

$\fbox{\texttt{\blue{To\:find:}}}$

Mass density of the Sun.

$\fbox{\texttt{\red{How\:to\:Find:}}}$

We know mass of the sun,

M = $\bold{2.0\times{}10^{30}\:kg.}$

Radius of the sun, R = $\bold{7.0\times{}10^{8}\:m.}$

∴ Volume of the sun,

$\bold{V=\frac{4}{3}\pi\:R^{3}}$

$\bold{=\frac{4}{3}\pi(7.0\times{}10^{8})^{3}}$

$\bold{=1.437\times{}10^{27}\:m^{3}}$

Now, density of the sun,

$\bold{\rho\:=\dfrac{M}{V}=\dfrac{2.0\times{}10^{30}}{1.437\times{}10^{27}}}$

$\bold{=1391.8\:kgm^{-3}}$

The density of the sun is in the range of the densities of the solids and liquids and not gases.

The high density of the sun (in the form of hot plasma) is due to inward gravitational attraction on the outer layers due to the inner layers of the sun.