Question

Question 17 The Earth's average density is 5.5 g/cm" Yet the density of rocks at the surface are typically 2-4 g/cm". What does that tell you about what the density must be closer to the center of the Earth? you about what the density

Answer 1

Answer with explanation:

Since the density of the rocks at the surface of earth equals $2-4gm/cm^{3}$ which is much lesser than the average density of the earth equaling $5.5gm/cm^{3}$ thus we conclude the density of material closer is greater than $5.5gm/cm^{3}$.This can be mathematically shown as under:

$\rho _{earth}=\frac{\rho _{surface}+\rho _{core}}{2}\\\\5.5gm/cm^{3}=\frac{(2-4)gm/cm^{3}+\rho _{core}}{2}\\\\\therefore \rho_{core}=[2\times 5.5-(2-4)]gm/cm^{3}\\\\\therefore \rho_{core}=(7-9)gm/cm^{3}$

Thus we conclude that the density of the matter closer to the center ranges between $7-9gm/cm^{3}$