Answer :

In kinetic theory of ideal gas, the average energy is given by



Where R=gas constant=8.31Jmol-1K-1


T-temperature of gas


M=molar mass of gas


Given


Temperature T=0


T(K)=T ()+273.15


T=T(K)=0+273.15=273.15K


Mass of helium molecule m =6.64 × 10–27 kg


We know that,


Gas constant R=kBNA


Where kB= Boltzmann constant = 1.38 × 10–23 J K–1.


And NA=Avogadro number=6.02310-23 mol-1



Molar mass of gas molecule M= Avogadro numbermass of gas molecule


M=NAm


So average velocity becomes




We know that


Momentum=massvelocity


Momentum=6.64 × 10–271202.31=8kgms-1


Average magnitude of momentum of helium at 0 is 8kgms-1.


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