Use the maxwellboltzmann equations for a diatomic molecule

Question

1. An experimentally determined relation for the temperature dependence of the constant pressure specific heat of molecular oxygen O₂ over a wide temperature range is

C_p = 0.3598 + 47.81/T - 5.406/√T

where c_p is in Btu/ (lbm .R) and T is in R.

2. Use the MaxwellBoltzmann equations for a diatomic molecule and attempt to predict the coefficients of the first two terms (i.e., 0.3598 and 47.81) of the equation. (Hint: At very high temperatures, exp (Θ_v /T ≈1+ Θv /T). Explain why your results may not be very accurate