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The rms speed of the perfect gas molecul...

The rms speed of the perfect gas molecules is doubled if.

A

pressure is doubled at constant volume

B

pressure is made four times at constant volume

C

volume is made four times at constant pressure

D

volume is increased by about 42% at constant pressure

Text Solution

Verified by Experts

The correct Answer is:
B, C
As. `C_(rms) = sqrt((3k_(B)T)/(m)) as K_(B) = R/N`
`:. C_(rms) = sqrt((3RT)/(Nm)) or C_(rms) = sqrt((3PV)/(Nm))`
`:. C_(rms) prop sqrt(P) and C_(rms) prop sqrt(V)`
so to increase the rms speed to double, pressure or volume has to be made 4 times.
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