Problem 2.88

The temperature of a hydrogen and helium mixture is \(T\) \(=300 \mathrm{~K}\). At what value of the molecular velocity \(v\) will the Maxwell distribution function \(F(v)\) yield the same magnitude for both gases?

Reveal Answer

v=\sqrt{\frac{3 k T \ln \left(m_{2} / m_{1}\right)}{m_{9}-m_{1}}}=1.61 \mathrm{~km} / \mathrm{s}

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution