At what temperature of a nitrogen and oxygen mixture do the most probable velocities of nitrogen and oxygen molecules differ by `Delta v = 30 m//s` ?

Explanation

`v_(pN) = sqrt((2 kT)/(m N)) = sqrt((2 RT)/(M_N)), v_(p_0) = sqrt((2 RT)/(M_0))`
`v_(P_N) - v_(p_0) = Delta v = sqrt((2 RT)/(M_N))(1 - sqrt((M_N)/(M_0)))`
`T = (M_N (Delta v)^2)/(2 R(1 - sqrt((M_N)/(M_0)))^2) = (m_N(Delta v)^2)/(2k(1 - sqrt((m_N)/(M_0)))^2) = 363 K`.