The empirical formula of a compound is CH. If the molar mass of this compound is about \(78 \mathrm{~g},\) what is its molecular formula?

Short Answer

Expert verified
The compound's molecular formula is \(C_6H_6\).

Step by step solution

01

Determine the molar mass of the empirical formula

You calculate the molar mass of the empirical formula \(CH\). Carbon (C) has an atomic mass of approximately \(12 \mathrm{~g/mol}\) and Hydrogen (H) has an atomic mass of approximately \(1 \mathrm{~g/mol}\). Add these together to find the molar mass of the empirical formula, which equates to \(13 \mathrm{~g/mol}\).
02

Determine the ratio of the actual molar mass to the empirical formula mass

You divide the given molar mass of the compound \(78 \mathrm{~g/mol}\) by the molar mass of the empirical formula \(13 \mathrm{~g/mol}\). The result is 6. Therefore, the molecular formula contains 6 times the atoms as the empirical formula.
03

Write out the Molecular Formula

Since we found out that the molecular formula contains six times the atoms as the empirical formula, we can write out the molecular formula of the compound as \(C_6H_6\).

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