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Using the equation of state pV=nRT, show...

Using the equation of state pV=nRT, show that at a given temperature density of a gas is proportional to gas pressure p.

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According to ideal gas equation :
`PV = nRT` or `P = (nRT)/(V) , n = ("Mass of gas (m)")/("Molar mass of gas (M)")`
`P = (mRT)/(MV) = (rhoRT)/(M)` , (where `rho` (density) `= M/V`)
Now, `rho prop P` at a constant temperature.
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