In a magnesium sample, the number of atoms is three times the number of carbon atoms in a diamond sample.

In a magnesium sample, the number of atoms is three times the number of carbon atoms in a diamond sample. Calculate the ratio of the mass of the magnesium sample to the mass of the diamond sample

Decision:
1) Find the amount of substance Mg and C:
Since the number of Mg atoms is 3 times more than the number of C atoms, then the amount of magnesium is 3 times more than the amount of diamond. Take the amount of diamond substance as (x) mole, then the amount of magnesium substance will be (3x) mole.

2) Find the mass of a sample of magnesium and diamond:
m (Mg) = n (Mg) * Mr (Mg) = 3x * 24 = 72x g;
m (C) = n (C) * Mr (C) = x * 12 = 12x g;

3) Calculate the ratio of the mass of the magnesium sample to the mass of the diamond sample:
m (Mg) / m (C) = 72x / 12x = 6;
That is, the mass of magnesium refers to the mass of diamond as 6 to 1.

Answer: The ratio of the mass of the magnesium sample to the mass of the diamond sample is 6 to 1.



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