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At a given temperature, the pressure of an ideal gas of density ${ }^\rho$ is proportional to
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$\rho$
$v_{r m s}=\sqrt{\frac{3 P}{\rho}}=P \propto \rho$
[ $\boldsymbol{V}_{\text {vous }}$ is constant for fixed temperature]
[ $\boldsymbol{V}_{\text {vous }}$ is constant for fixed temperature]
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