# How should density evolve upon an increase in temperature of a gas?

Apr 6, 2017

Well, the density should reasonably DECREASE..........

#### Explanation:

From the Ideal Gas equation.........

$\text{mass"/"molar mass} = \frac{P V}{R T}$, agreed?

"mass"/"V"=(Pxx"molar mass")/(RT),

i.e. "mass"/"V"=rho("density")prop1/(T), or $\rho = \frac{k}{T}$, where $k$, the constant of proportionality, $= \frac{\text{molar mass}}{R} \times P$.

And thus $\rho$ should vary INVERSELY with increasing temperature.