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The empirical formula of a hydrocarbon is CH₂ - OCR Gateway - GCSE Chemistry - Question 11 - 2021 - Paper 3

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The empirical formula of a hydrocarbon is CH₂. The relative formula mass of the hydrocarbon is 126.0. What is the molecular formula of the hydrocarbon? A C₇H₁₄ B ... show full transcript

Worked Solution & Example Answer:The empirical formula of a hydrocarbon is CH₂ - OCR Gateway - GCSE Chemistry - Question 11 - 2021 - Paper 3

Step 1

Calculate the molar mass of the empirical formula (CH₂)

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Answer

The empirical formula CH₂ consists of 1 carbon and 2 hydrogens. The molar mass of carbon (C) is approximately 12.01 g/mol and that of hydrogen (H) is approximately 1.008 g/mol. Therefore:

extMolarmassofCH2=(1imes12.01)+(2imes1.008)=12.01+2.016=14.026extg/mol ext{Molar mass of CH₂} = (1 imes 12.01) + (2 imes 1.008) = 12.01 + 2.016 = 14.026 ext{ g/mol}

Step 2

Determine the ratio of the molar mass of the hydrocarbon to the empirical formula mass

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Answer

Next, we will find the ratio of the relative formula mass of the hydrocarbon (126.0 g/mol) to the empirical formula mass (14.026 g/mol):

ext{Ratio} = rac{126.0}{14.026} \\ ext{Ratio} ext{ (rounded)} = 9

Step 3

Calculate the molecular formula

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Answer

To find the molecular formula, we will multiply the subscripts in the empirical formula (CH₂) by the ratio calculated:

egin{itemize}

ext{C: } 1 	imes 9 = 9
ext{H: } 2 	imes 9 = 18

ext{Thus, the molecular formula is C₉H₁₈.}
ext{The correct answer is option C.}

ext{Answer: C}
ext{C₉H₁₈}

ext{Therefore, the molecular formula for the hydrocarbon is C₉H₁₈.}
ext{Final Answer: C}
ext{C₉H₁₈}

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