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Ideal Gas Equation

A gaseous org...

Question

A gaseous organic compound has a density of $2.5 k g / m^{3}$ at 2 atm and at $273^{\circ} C$ . The molecular formula of the compound can be:

A

C_{3} H_{4} O_{2}

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B

C_{4} H_{4}

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C

C_{3} H_{4} O

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D

C_{4} H_{8}

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Solution

The correct options are
C $C_{3} H_{4} O$
D $C_{4} H_{8}$
$P V = n R T$
$D e n s i t y, d = \frac{M a s s}{V o l u m e}$
$V o l u m e, V = \frac{M a s s}{D e n s i t y}$
$d = \frac{P M}{R T} ∴ 2.5 = \frac{2 \times M_{g a s}}{0.082 \times 546} ∴ M_{g a s} = 56$
For (c) and (d), the molecular mass of compounds are 56
$∴$ Both (C) & (D) options are correct.

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