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Real Gas Equation

What is the d...

Question

What is the density of $N_{2}$ gas at $227 ° C$ and $5.00 atm$ pressure? ( $R = 0.082 {L atm K}^{- 1} {mol}^{- 1}$ )

1.40 g/L

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2.81 g/L

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3.41 g/L

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0.29 g/L

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Solution

The correct option is C $3.41 g/L$
By using the ideal gas relation,
$P V = n R T$
$P V = \frac{w}{M} R T$
$P = \frac{w}{M} \frac{R T}{V}$
$P = d \frac{R T}{M}$
$d = \frac{P M}{R T}$
$= \frac{5 \times 28}{0.0821 \times 500} = 3.41 g/L$

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