Admitindo-se que um diamante contenha apenas átomos de carbono e que cada quilate corresponda a 200g, determine o número de quilates em um diamante que contenha 2,0 . 10²² átomos.
dados: constante de Avogadro= 6,0 . 10²³ partículas/mol; Massa atômica do carbono= 12 u.

12g C corresponde a 6*10^23 átomos de C
  x     corresponde a 2*10^22 átomos de C
Portanto, x = 0,4g de carbono.
 
Transformando 200 mg em gramas = 0,2g C
Sendo assim,
1 quilate corresponde a 0,2g C
x quilate corresponde a 0,4g C
 
x= 2 quilates.

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