Question

A compound is used as a food additive. The compound has a molar mass of 176.124 grams/mole. A 692.5-gram sample undergoes decomposition, producing 283.4 grams of carbon, 31.7 grams of hydrogen, and 377.4 grams of oxygen. What is the molecular formula of the compound?

Answer 1

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Answer 2

Explanation:

Every time a problem provides you with a compound's molar mass, you can use a little trick to help you determine the compound's molecular mass faster.

More specifically, instead of determining the empirical formula first, then using the molar mass to get the molecular formula, you can skip the empirical formula altogether.

As you know, a compound's molar mass tells you what the mass of one mole of that substance is. In this case, one mole of your compound has a mass of 142.00 g.

This means that if you pick a sample of 142.00 g of this compound, you can use its percent composition to get the exact number of moles of each element you get per mole of compound.

So, you know that this compound's percent compositionis as follows

carbon →50.7%

hydrogen →4.2%

oxygen →45.1%

This means that it contains

142.00g compound⋅50.7 g C100g compound=71.994 g C

142.00g compound⋅4.2 g H100g compound=5.964 g H

142.00g compound⋅45.1 g O100g compound=64.042 g O

Now all you have to do is use the molar masses of these three elements to determine how many moles of each you get in one mole of your compound

For C: 71.994g⋅1 mole C12.011g=5.994≈6

For H: 5.964g⋅