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Calculate the density of the four basic planet-building substances. Gas Water/Ic

ID: 230860 • Letter: C

Question

Calculate the density of the four basic planet-building substances. Gas Water/Ice Rock Metal Mass: 2.09 x 10* grams Radius: 10 cm Mass: 4.19 x 10? grams Mass: 12.56 x 10 grams Mass: 33.51 x 10 grams Radius: 10 cm Radius: 10 cm Radius: 10 cm Volume: cm Volume Volume:cm cm) Volume: cm Density: germs Density:gcrm, Density: .germa D) Density: . __ Density:-gemp 1g/cm! Density: Density g/cm2 The volume of a sphere is volume-4/3 x x radius* Sample Calculation Density is: density mass / volume density = mass / (4/3 x x radius) VERIFY

Explanation / Answer

Gas:

Volume:

V = (4/3) pi r^3

   =(4/3) pi (10^8)^3

   =4.19 x 10^24 m^3

Density:

d = m / V

= (2.09 x 10^24) / (4.19 x 10^24 )

=0.5 g/cm^3

Water/Ice:

Volume:

V = (4/3) pi r^3

   =(4/3) pi (10^8)^3

   =4.19 x 10^24 m^3

Density:

d = m / V

= (4.19 x 10^24) / (4.19 x 10^24 )

=1 g/cm^3

Rock:

Volume:

V = (4/3) pi r^3

   =(4/3) pi (10^8)^3

   =4.19 x 10^24 m^3

Density:

d = m / V

= (12.56 x 10^24) / (4.19 x 10^24 )

=3 g/cm^3

Metal:

Volume:

V = (4/3) pi r^3

   =(4/3) pi (10^8)^3

   =4.19 x 10^24 m^3

Density:

d = m / V

= (33.51 x 10^24) / (4.19 x 10^24 )

=8 g/cm^3

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