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A hydrocarbon sample with a mass of 51.2 g was found to contain 38.4 g of carbon. Determine its empirical formula.

a) CH₂
b) C₂H₄
c) C₃H₆
d) C₄H₈

Answer :

Final answer:

To determine the empirical formula, we calculate the mole ratio between carbon and hydrogen by converting their masses to moles. By dividing the moles of carbon by the smallest moles value, we obtain the empirical formula of C4H8.

Explanation:

To determine the empirical formula of the hydrocarbon sample, we need to calculate the mole ratio between carbon and hydrogen. First, convert the mass of carbon to moles by dividing it by the molar mass of carbon (12.01 g/mol). Then, convert the mass of hydrogen to moles by dividing it by the molar mass of hydrogen (1.01 g/mol).

The mole ratio can be determined by dividing the moles of carbon by the smallest moles value. In this case, it is approximately 4. Next, we write the empirical formula using the ratio obtained, which gives us the answer of C4H8. Therefore, the correct empirical formula for the hydrocarbon sample is d) C₄H₈.

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