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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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