We have developed a semiclassical approach to the description of resonant dissociative excitation of a molecular ion induced by collisions with plasma free electrons and accompanied by the non-adiabatic transitions between its different electronic terms. It is based on the quasistatic treatment of nuclear particles relative motion in a molecular ion combined with the approximation of a quasicontinuum for rovibrational states. We have derived the semianalytic expressions for the Boltzmann-averaged cross sections,
, and rate constants, α
de(T, T
e), of this process. The resulting expressions for
and α
de(T, T
e) with explicit dependencies on the electron energy, ɛ, the gas, T, and electron, T
e, temperatures are valid when the thermal energy k
B
T exceeds the value of the lowest vibrational quantum, ℏω
e, of a molecular ion. The theory developed is applied to studying the resonant dissociative excitation of homo-nuclear
,
and
ions as well as the hetero-nuclear rare gas ions RgXe+ (Rg = Ne, Ar, and Kr) with significantly different values of the dissociation energy. The efficiencies of the electron-impact dissociative excitation process and dissociative recombination leading to the population of the Rydberg states are compared. Our results of calculations are in good agreement with the available experimental data.