What is the molecular formula of fructose if its molar mass is $180. g / m o l$ , and its empirical formula is $C H_{2} O$ ?

C_{3} H_{6} O_{3}

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C_{4} H_{4} O_{8}

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C_{6} H_{12} O_{6}

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C_{8} H_{10} O_{8}

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Solution

The correct option is B $C_{6} H_{12} O_{6}$
Let the molecular formula of Fructose $= (C H_{2} O)_{n} = C_{n} H_{2 n} O_{n}$
So, the molecular mass of Fructose, $180 g / m o l = n \times [12 + 2 + 16]$
$\Rightarrow n \times 30 = 180$
$\Rightarrow n = 6$
So, the molecular formula $= C_{6} H_{12} O_{6}$

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