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Gay Lussac's Law

A gas is foun...

Question

A gas is found to have the formula $(C_{3} O_{2})_{n}$ . Its vapour density is $34$ . The value of $n$ will be ......

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Solution

Molar mass $= 2 \times$ vapour density
Molar mass $= 2 \times$ 34
Molar mass $=$ 68 g/mol
The mass of one unit of $C_{3} O_{2}$ is $3 (12) + 2 (16) = 36 + 32 = 68$ g/mol. It is equal to the molar mass of $(C_{3} O_{2})_{n}$ .
Thus, $n = 1$

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