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a compound with the empirical formula CH2 has a molar mass of 112 g/mol. What is the molecular formula for this compound?

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The molecular formula for \(CH_{2}\) carrying a molar mass of 112 g/mol would be:

- \(C_{8} H_{16}\)

Given that,

Empirical Formula of the compound \(=\) \(CH_{2}\)

The molar mass of the compound \(= 112 g/mol\)

As we know,

Empirical Mass  = \(12 + 2\)

\(= 14\)

It is known that,

Molar mass \(= n\) × \(empirical mass\)

∵ \(n = molar mass/empirical mass\)

\(= 112/14\)

\(= 8\)

∵ The Molecular Formula of the compound would be determined by multiplying n into the empirical formula,

so,

Molecular Formula = \(n\) × \(emprical formula\)

\(=\)  (\(CH_{2}\)) × \(8\)

= \(C_{8} H_{16}\)

Thus,  \(C_{8} H_{16}\) is the correct answer.

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