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March 26, 2017

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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 - ,

    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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