Do any two of the following compounds, which have been...

Do any two of the following compounds, which have been detected in outer space, have the same empirical formula? a. naphthalene, $\mathrm{C}_{10} \mathrm{H}_{8}$ b. chrysene, $\mathbf{C}_{18} \mathrm{H}_{12}$ c. anthracene, $\mathrm{C}_{14} \mathrm{H}_{10}$ d. pyrene, $\mathrm{C}_{16} \mathrm{H}_{10}$ e. benzoperylene, $\mathrm{C}_{22} \mathrm{H}_{12}$ f. coronene, $\mathrm{C}_{24} \mathrm{H}_{12}$

Do any two of the following compounds, which have been detected in outer space, have the same empirical formula?
a. naphthalene, $\mathrm{C}_{10} \mathrm{H}_{8}$
b. chrysene, $\mathbf{C}_{18} \mathrm{H}_{12}$
c. anthracene, $\mathrm{C}_{14} \mathrm{H}_{10}$
d. pyrene, $\mathrm{C}_{16} \mathrm{H}_{10}$
e. benzoperylene, $\mathrm{C}_{22} \mathrm{H}_{12}$
f. coronene, $\mathrm{C}_{24} \mathrm{H}_{12}$

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Key Concepts

Molecular Formula

The molecular formula lists the exact number of each type of atom in a molecule, providing a detailed account of its composition. This formula is essential for understanding the precise makeup of a compound before any simplification is done.

Empirical Formula

The empirical formula represents the simplest whole-number ratio of the atoms in a compound. It is derived by dividing the subscripts of the molecular formula by their greatest common divisor, resulting in the most reduced version of the formula.

Greatest Common Divisor in Formula Simplification

When simplifying a molecular formula to an empirical formula, the greatest common divisor (GCD) is used to reduce the number of atoms to their smallest integer ratio. This process allows different compounds to be compared on the basis of their basic elemental ratios.

Ratio Comparison

Comparing the ratios of elements in different compounds involves reducing each compound’s molecular formula to its empirical formula. Only compounds with identical empirical formulas can be said to have the same basic ratio of elements, even if their molecular formulas differ.

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