What is the density of methane at 28.5°C and 755.2 mmHg?

Jul 27, 2017

We solve the Ideal Gas equation for a $1 \cdot L$ volume.....

Explanation:

$P V = n R T$....thus $P V = \text{mass"/"molar mass} \cdot R T$

And $\frac{P}{R T} \times \frac{\text{molar mass"="mass}}{V} = {\rho}_{C {l}_{2}}$

$\frac{\frac{755.2 \cancel{\cdot m m \cdot H g}}{760 \cancel{\cdot m m \cdot H g \cdot a t {m}^{-} 1}} \times 70.9 \cdot g \cdot \cancel{m o {l}^{-} 1}}{0.0821 \cdot \frac{L \cdot \cancel{a t m}}{\cancel{K \cdot m o {l}^{-} 1}} \times 301.7 \cdot \cancel{K}}$

$\cong 2.8 \cdot g \cdot {L}^{-} 1.$