In: Chemistry
The average density of planet earth is 5.52 g/cm3. Knowing that Earth has a mass of 5.97*10^27g, determine the earth radius in miles. ( 1 mile = 1609 meters).
We have,
density of the Earth = 5.52 g/cm3
and a mass of the Earth = 5.97x1027g
Therefore, volume of the Earth = mass/density =
(5.97x1027g) / (5.52 g/cm3)
=
1.08x1027 cm3
We know that, volume of circle = (4/3)πr3 =
1.08x1027 cm3
r3 = 0.258
1027cm3
r = 0.637 x 109
cm
r = 0.637 x 109 x
10-2 m
= 0.637 x
107 meters
r = 6.37 x 106
/1609 miles
r = 3.96 x 103
miles
Therefore, the radius of the Earth is = 3.96 x
103 miles = 3960 miles