The speed v of the molecules of mass m of an ideal gas obeys Maxwell’s velocity distribution law at an equilibrium temperature T. Let (vx, vy, vz) denote the components of the velocity and kB the Boltzmann constant. The average value of (αvx - βvy)2, where α and β are constants, is
1
\(\left(\alpha^{2}-\beta^{2}\right) k_B T / m\)
2
\(\left(\alpha^{2}+\beta^{2}\right) k_B T / m\)
3
\((\alpha+\beta)^{2} k_B T / m\)
4
\((\alpha-\beta)^{2} k_B T / m\)