# Calculate the simple formula of the salt, which are included in the elements of the mass fraction: K-44.8%, S-18.4%, O-36.8%

September 29, 2021 | education

| Let us denote: a is the number of potassium atoms, b is the number of sulfur atoms, c is the number of oxygen atoms, m is the molecular weight of the compound.

The relative atomic mass of potassium is 39, sulfur is 32, oxygen is 16.

Let’s compose the following expressions:

0.448 = 39 * a / m;

0.184 = 32 * b / m;

0.368 = 16 * c / m;

Let us express the molecular weight from three expressions:

m = 39 * a / 0.448 = 87a;

m = 32 * b / 0.184 = 174b;

m = 16 * s / 0.368 = 43.5 s;

Approximate values of unknown numbers: a = 2, b = 1, c = 4. The formula of the substance is K2SO4.

Answer: The simple formula for the salt is K2SO4 (potassium sulfate).

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