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c(rms)=sqrt((3RT)/(M))=sqrt((3PV)/(M)). ...

`c_(rms)=sqrt((3RT)/(M))=sqrt((3PV)/(M))`. According to this equation, with the increase in pressure or volume, the value of `c_(rms)` will increase. Justify this statement.

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The rms velocity of the molecules of a gas depends only on temperature and molar mas of the gas. Its value does not depend on presure or volume of the gas because at constant temperature, PV for a given mass of gas always remains constant, irrespective of the values of pressure or volume.
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Knowledge Check

  • If m+1/m = sqrt3 then the value of (m^5+1/m)/(m^3+m) will be

    A
    1
    B
    2
    C
    3
    D
    None of the above

  • The temperature of an ideal gas increases from 27^@ to 927^@ .W hat will be the value of r.m.s velocity at this temperature?

    A
    half
    B
    4 times
    C
    8 times
    D
    2 times

  • The temperature of an ideal gas increases from 27^@ to 927^@ .W hat will be the value of r.m.s velocity at this temperature?

    A
    A. half
    B
    B. 4 times
    C
    C. 8 times
    D
    D. 2 times
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