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Multiple Choice
Which pair of compounds shares the same empirical formula?
A
and
B
and
C
and
D
and
Verified step by step guidance
1
Identify the molecular formulas of each pair of compounds given in the problem.
For each compound, determine the empirical formula by dividing the subscripts of each element by their greatest common divisor (GCD). The empirical formula represents the simplest whole-number ratio of atoms in the compound.
Compare the empirical formulas of the two compounds in each pair to see if they are identical.
For example, for the pair \( \mathrm{N_2O_4} \) and \( \mathrm{N_2O_2} \), find the GCD of the subscripts for each formula and simplify to the empirical formula.
Repeat this process for the other pairs: \( \mathrm{C_2H_4} \) and \( \mathrm{C_3H_6} \), \( \mathrm{C_6H_{12}O_6} \) and \( \mathrm{C_{12}H_{22}O_{11}} \), and \( \mathrm{P_2O_5} \) and \( \mathrm{P_4O_{10}} \). The pair with matching empirical formulas is the correct answer.