## 1 Introduction  
In recent years, research on developing novel atmospheric plasma systems--both non-thermal and thermal--has surged significantly. Plasma applications in medicine, environmental, energy sectors, and agriculture are expanding, including wound treatment, wastewater treatment, the creation of synthetic gas, waste utilization, treatments for seeds and plants, the creation of plasma-activated water, etc. [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]. Various thermal and non-thermal plasma sources are used to produce NO\({}_{\mathrm{x}}\) from air, air-nitrogen, or oxygen-nitrogen gas mixtures [8, 9, 10, 11]. The most popular non-thermal plasma sources used for the formation of nitric oxide are dielectric barrier discharge (DBD), glow discharge, gliding arc discharge (GAD), spark discharges, etc. [8, 9, 10, 11, 12, 13, 14, 15, 16]. It should be noted that the chemical reaction pathways in the production of NO\({}_{\mathrm{x}}\) are very complex and strongly depend not only on the used non-thermal plasma type but also on the configuration of the plasma device and process parameters [9, 10, 11]. [PERSON] et al. [17] developed a chemical kinetics model for nitrogen oxide synthesis using the GAD plasma. The authors observed that the creation of the vibrational excited nitrogen molecules in plasma are the most important species for the formation of NO [10]. It was demonstrated that the concentrations of NO\({}_{2}\) and NO decreased with the increase in the used air flow rate when DBD plasma was used [11]. Several researchers have indicated that the concentration of the NO produced in DC arc plasma is higher compared to the NO\({}_{2}\) gas concentrations [18; 19]. [PERSON] et al. [9] obtained that the concentrations of the produced NO, NO\({}_{2}\), and O\({}_{3}\) strongly depended not only on the discharge voltage values but also on the temperature of the air. [PERSON] et al. [12] observed that the increase in the NO and NO\({}_{2}\) concentrations in plasma lead to the production of plasma-activated water with a higher fraction of NO\({}_{3}\)\({}^{-}\) and NO\({}_{2}\)\({}^{-}\). Additionally, it was observed that the concentrations of NO and NO\({}_{2}\) gasses depend on the intensity of the N and N\({}_{2}\) lines in the air emission spectra. [PERSON] et al. [5] determined that the increase in the discharge power increased the conductivity and NO\({}_{3}\)\({}^{-}\) and NO\({}_{2}\)\({}^{-}\) concentrations in the PAW. Such an increase is related to the formation of higher densities of N\({}_{2}\), N, N\({}^{+}\), N\({}_{2}\)\({}^{+}\), and NO reactive species in air plasma. The concentrations of various species in air plasma and the amount of reactive species formed in water decrease with the enhancement of the air flow rate during the gliding arc discharge [20]. [PERSON] et al. [21] observed that the excited nitrogen molecules and NO are the dominant species in the gliding arc discharge when air plasma was used. [PERSON] et al. [22] observed that the enhancement in the discharge voltage led to higher intensities of the N\({}_{2}\)* and N\({}_{2}\)\({}^{+}\) particles in air plasma produced by DBD. Our previous investigations [23] indicated that the degree of air plasma ionization and the densities of N\({}_{2}\)\({}^{+}\), N\({}^{+}\), O, and NO\({}_{Y}\) particles in the plasma increased with increasing voltage. This resulted in an increase in the concentrations of NO\({}_{2}\)\({}^{-}\), NO\({}_{3}\)\({}^{-}\), and hydrogen peroxide in BG-11 medium. [PERSON] et al. [24] demonstrated that the increase in supply voltage in GAD plasma enhanced the NO\({}_{2}\) concentration due to an increase in plasma temperature, but the concentrations of the produced NO\({}_{2}\) were very low. The increase in the discharge voltage or reduction in air flow rates enhanced the density of the nitrogen or oxygen reactive species in plasma [25; 26]. [PERSON] et al. [27] determined that the decrease in the reduction in air flow rate enhanced the densities of NO, N\({}_{2}\)\({}^{+}\), and N\({}_{2}\) particles in air plasma.