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  4. An ideal gas equation can be written as P=(ρ RT/M0) where ρ and M0 are respectively,

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Q. An ideal gas equation can be written as $P=\frac{\rho RT}{M_{0}}$ where $\rho$ and $M_{0}$ are respectively,

NEETNEET 2020Thermodynamics

Solution:

$PV = nRT$
$\Rightarrow P=\frac{1}{V}. \frac{m}{M_{0}}.RT$
$=\left(\frac{m}{V}\right)\left(\frac{RT}{M_{0}}\right)$
$\Rightarrow P=\frac{\rho RT}{M_{0}}$
$\rho=\frac{m}{v}=$ mass density
$M_{0}$ = molar mass