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If an unknown compound is found to have an empirical formula of CH4, which of the following is the molecular formula if the molar mass was determined to be 128 g/mol?

A. CH4
B. CH12
C. C8H12
D. C8H32
E. C12H16

1 Answer

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Final answer:

The molecular formula of the compound with an empirical formula CH4 and a molar mass of 128 g/mol is C8H32, as the empirical formula mass fits 8 times into the molar mass.

Step-by-step explanation:

To determine the molecular formula from an empirical formula of CH4 when the molar mass is 128 g/mol, we first calculate the mass of the empirical formula. Carbon has an atomic mass of approximately 12 g/mol and hydrogen has an atomic mass of approximately 1 g/mol. Therefore, the empirical formula mass of CH4 is (12 + 4*1) = 16 g/mol.

To find out how many times the empirical mass fits into the molar mass, we divide the molar mass by the empirical formula mass: 128 g/mol / 16 g/mol = 8. This tells us that the empirical formula must be multiplied by 8 to get the molecular formula. The molecular formula is thus C8H32, which corresponds to option D.

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