Problem 2.87

At what temperature of a nitrogen and oxygen mixture do the most probable velocities of nitrogen and oxygen molecules differ by $\Delta v=30 \mathrm{~m} / \mathrm{s} ?$

Reveal Answer

T=\frac{m_{\mathrm{N}}(\Delta v)^{2}}{2 k\left(1-\sqrt{m_{\mathrm{N}} / m_{0}}\right)^{2}}=0.37 \mathrm{kK}

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution