ideal gas

[logistic_guy]

Write the ideal gas law in terms of the density of the gas.

 

[khansaheb]

Write the ideal gas law in terms of the density of the gas.

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[logistic_guy]

Write the ideal gas law in terms of the density of the gas.

We know that the volume density is $\displaystyle \rho = \frac{m}{V}$.

The ideal gas law is:

$\displaystyle PV = nRT = \frac{m}{M}RT$

Then,

$\displaystyle P = \frac{m}{V}\frac{RT}{M} = \rho\frac{RT}{M}$