The Sun is a hot plasma (ionized 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: a mass of the Sun = 2.0 × 1030 kg, radius of the Sun = 7.0 × 108 m.
The Sun is a hot plasma (ionized 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: a mass of the Sun = 2.0 × 1030 kg, radius of the Sun = 7.0 × 108 m.

Answer:

According to the question, Mass = 2 x 1030 kg and Radius = 7 x 108 m

Expression of volume is

    \[\]

    \[V=\frac{4}{3}\pi {{r}^{3}}\]

    \[V=\frac{4}{3}\times \frac{22}{7}\times {{\left( 7\times {{10}^{8}} \right)}^{3}}=\frac{88}{21}\times 512\times {{10}^{24}}{{m}^{3}}\]

    \[V=2145.52\times {{10}^{24}}{{m}^{3}}\]

Then, density can be calculated in following manner –

    \[Density=\frac{Mass}{Volume}=\frac{3\times {{10}^{30}}}{2145.52\times {{10}^{24}}}\]

Density = 1.39 x 103 kg/m5

The density falls in between solids and liquids. Its density is owing to the sun’s inner layer’s strong gravitational attraction on the outer layer.