The empirical mass of C\(_6\)H\(_{12}\)O\(_6\) is [H =1, C = 12, O = 16]

Assessment: JAMB UTME - Chemistry - 2025 Subject: Chemistry

Question 1 Report

The empirical mass of C\(_6\)H\(_{12}\)O\(_6\) is 

[H =1, C = 12, O = 16]

Answer Details

The empirical formula is the simplest whole-number ratio of atoms in a compound. The empirical formula mass (sometimes called empirical mass) is the molar mass corresponding to that simplest formula.

The molecular formula given is C6H12O6. To find the empirical formula, divide all subscripts by their greatest common factor:

\[\text{GCF of } 6, 12, 6 = 6\]

\[\text{Empirical formula} = \text{C}_1\text{H}_2\text{O}_1 = \text{CH}_2\text{O}\]

Now calculate the empirical formula mass using the given atomic masses (H = 1, C = 12, O = 16):

\[\text{Empirical mass} = 12 + 2(1) + 16 = 30\]

As a check, the molecular mass of C6H12O6 is 6(12) + 12(1) + 6(16) = 72 + 12 + 96 = 180. Dividing by the empirical mass: 180 / 30 = 6, confirming that the molecular formula is exactly 6 times the empirical formula.

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