Question

Severus Snape explains that if you have the molar mass of a compound and the empirical formula of a compound you can determine the molecular formula of a compound. Suppose you have a compound which has an empirical formula of C2H3O and molar mass of 86 g/mol. What is the compounds molecular formula?

(A) C2H40
(B) C2H50
(C) C2H3O
(D) C4H6O2
(E) C6H9O

Answer 1

Molecular formula of the compound is C₄H₆O₂

Explanation:

We know the empirical formula C₂H₃O and the molar mass of 86 g/mole.

Molecular formula is (C₂H₃O)ₐ

molecular mass of (C₂H₃O)ₐ = (12 × 2 + 1 × 3 + 1 × 16) × a = 43a

43a = 86

a = 86 / 43

a = 2

Molecular formula will be (C₂H₃O)₂ which is C₄H₆O₂.

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Answer 2

The molecular formula for the compound is C4H6O2

What is Molecular Formula?

Molecular Formula expresses the amount and illustrates the different types of atoms contained in a substance's molecule. It identifies the number of atoms of each element in a compound. 

We are given that:

• The empirical formula of the compound to be: C₂H₃O
• The molar mass of the compound is: 86 g/mol

The molecular formula for the compound can be computed as:

$\mathbf{(C_2H_3O)n = 86}$

$\mathbf{(12\times 2+ 1 \times 3+ 16 )n = 86}$

$\mathbf{(43 )n = 86}$

n = 86/43

n = 2

Thus, the molecular formula becomes $\mathbf{(C_2H_3O)_2 = \mathbf{C_4H_6O_2}}$

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