Posted by Sophie on Thursday, March 7, 2013 at 12:54pm.
The density of carbon in the form of diamonds is 3.51 g/cm^3. If you have a 40 carat spherical diamond, what is the diameter of the diamond in millimeters? (1 carat=0.200 g)

Chemistry  DrBob222, Thursday, March 7, 2013 at 3:46pm
mass diamond = 40 carats x (0.200g/carat) = ?
mass = volum x density. You know density and mass, solve for volume.
Volumer of sphere = (4/3)*pi*r^3
Solve for r, then diameter = 2r and the answer will be in cm.
Convert cm to mm.
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