Which of the following gases will have a density of $1.9 {g L}^{- 1}$ at 1520 torr pressure and $87^{\circ} C$ ?

C O_{2}

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N_{2}

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O_{2}

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S O_{2}

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Solution

The correct option is B $N_{2}$
Given:
Density, $d = 1.9 {g L}^{- 1}$
Pressure of the gas, $P = 1520 torr = 2 atm$
$T = 87^{\circ} C = 360 K$
Using density relation of ideal gas equation,
$P M = d R T$
where M is the molar mass of the gas
$M = \frac{d R T}{P} = \frac{1.9 \times 0.0821 \times 360}{2} = 28 g$
$∴$ The gas will be $N_{2}$ .

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