$0.0833$ moles of the carbohydrate contain $1.0$ g hydrogen. If the molecular formula of the carbohydrate is $C_{x} H_{y} O_{z}$ , then the value of $x, y$ and $z$ are :

x = 6, y = 12, z = 6

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x = 4, y = 8, z = 4

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x = 5, y = 10, z = 6

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none of these

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Solution

The correct option is D $x = 6, y = 12, z = 6$
$0.0833$ moles of the carbohydrate contain $1.0$ g or one atom of hydrogen.
Therefore, one mole of the carbohydrate will contain hydrogen atoms $= \frac{1}{0.0833} = 12$ .
Number of hydrogen atoms in the molecule being $12$ , the molecular formula should be six times the empirical formula, i.e. $C_{6} H_{12} O_{6}$ .
Hence, the molecular formula of the carbohydrate is $C_{6} H_{12} O_{6}$ .

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