A molecule $C_{x} H_{8} O_{4}$ has a gram molecular mass of $180$ g. The value of $x$ is:

12

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18

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9

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6

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Solution

The correct option is C $9$
The atomic masses of C, H and O are 12 g/mol, 1 g/mol and 16 g/mol respectively.

The gram molecular mass of $C_{x} H_{8} O_{4} = x (12) + 8 (1) + 4 (16) = 12 x + 8 + 64 = 12 x + 72$

But gram molecular mass of $C_{x} H_{8} O_{4}$ is 180.

$∴ 12 x + 72 = 180$
$12 x = 108$
$x = 9$

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Similar questions

Molecular mass of glucose molecule (C₆H₁₂O₆) is:

The empirical formula and molecular mass of a compound are $C H_{2} O$ and 180 g respectively. What will be the molecular formula of the compound ?

(a) $C_{9} H_{18} O_{9}$ (b) $C H_{2} O$ (c) $C_{6} H_{12} O_{6}$ (d) $C_{2} H_{4} O_{2}$

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

500 m L

9 %

180

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