1. Tardigrade
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  4. A vessel of volume V contains a mixture of 1 mole of hydrogen and 1 mole of oxygen (both considered as ideal). Let f1(v)dv denote the fraction of molecules with speed between v and (v + dv) with f2(v)dv, similarly for oxygen. Then

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Q. A vessel of volume $V$ contains a mixture of $1$ mole of hydrogen and $1$ mole of oxygen (both considered as ideal). Let $f_1(v)dv$ denote the fraction of molecules with speed between $v$ and $(v + dv)$ with $f_2(v)dv$, similarly for oxygen. Then

Kinetic Theory

Solution:

The Maxwell-Boltzmann speed distribution function $\left(N_{v} = \frac{dN}{dv}\right)$ depends on the mass of the gas molecule. [Here, $dN$ is the number of molecules with speeds between $v$ and $(v + dv)$]. The masses of hydrogen and oxygen molecules are different.