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If the pressure of a fixed quantity of a gas is increased 4 times keeping the temperature constant, the r.m.s velocity will be?
r.m.s velocity is independent of pressure r.m.s velocity=sq.root(3RT/M) therefore r.m.s vel. only depends on temp. and molar mass of gas , thus no change occurs
Rms value is not independent of pressure it is related to pressure according to following equationVrms=√3pv/mBut as given in question Temp. Is const therefore acc to Boyles law as pressure increase volume will decrease by the same factor and hence Vrms will remain same
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