Question

root mean square velocity of a gas is X metre per second at a pressure P ATM and temperature t Kelvin.if pressure is made to be under isothermal condition root mean square speed becomes
(a.) 2X
(b.)4X
(C.)
$\frac{x}{2}$(d.) X
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Answer 1

root mean square velocity of a gas is X metreper second at a pressure P ATM andtemperature t Kelvin.if pressure is made to be under isothermal condition root mean square speed becomes is 4x

Answer 2

Answer:

We know that the rms velocity is given by the formulae Vrms = √(3RT/M) thus the velocity which here can be seen that depends on the temperature directly and indirectly to the molar mass of the gas.

This formulae can also be written as Vrms = √(3PV/M) thus we get that rms velocity also depends on t he pressure as PV=RT thus if we change the pressure the volume also changes but the product PV remains constant. Thus  the rms velocity will not change and will remain X.