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: mass of the Sun = 2.0 x 1030 kg, radius of the Sun = 7.0 x 108 m.

Asked by Prantosh 14/12/2021 Last Modified 13 Apr

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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: mass of the Sun = 2.0 x 1030 kg, radius of the Sun = 7.0 x 108 m.

Asked by Prantosh 14/12/2021 Last Modified 13 Apr

1 Answer

Learn Chapter2: Units and Measurements

Follow 1

Answer

Nazia Khanum · Accepted Answer

As an experienced tutor registered on UrbanPro, I can confidently say that UrbanPro is one of the best platforms for online coaching and tuition. Now, regarding your question about the mass density of the Sun, let's delve into it.

Given that the Sun is predominantly composed of hot plasma, which is essentially ionized matter, and considering the extreme temperatures present in its inner core and outer surface, it's logical to expect that the mass density of the Sun would fall within the range typical for gases rather than solids or liquids.

To verify this, let's use the provided data:

Mass of the Sun = 2.0 x 10^30 kg Radius of the Sun = 7.0 x 10^8 m

The formula to calculate density is mass divided by volume. In this case, the volume of the Sun can be approximated as the volume of a sphere, which is (4/3)πr^3.

So, density (ρ) = mass (m) / volume (V) = m / ((4/3)πr^3)

Substituting the given values:

ρ = (2.0 x 10^30 kg) / ((4/3)π(7.0 x 10^8 m)^3)

After calculating this, we find the density to be approximately 1.41 x 10^3 kg/m^3.

This value is indeed in the range typical for gases, confirming our expectation based on the nature of the Sun's composition and extreme temperatures.

In conclusion, the mass density of the Sun falls within the range typical for gases rather than solids or liquids, which aligns with our initial expectation.

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