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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 the density of gas is proportional to gas pressure `p`.

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`pV=nRT`
`p=W/(mV)RT=(rhoRT)/m`
where `W` is the mass of gas in gram, `m` is its molecular mass, and `rho` its density.
Hence density `(rho)` of a gas `prop P` because `R, T` and `m` are constant.
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Knowledge Check

  • At a given temperature, the density of an ideal gas is proportional to

    A
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    B
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    D
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    A
    V denotes volume of one mole
    B
    n is the number of molecules of a gas
    C
    n moles of gas have volume V
    D
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