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) VERIFYExplanation / 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