Use the single-step global mechanism for combustion of hydrocarbon with air to perform the following steps:

Write down the stochiometric global chemical reaction for methane fuel and air.

Write down the expression for the reaction rate of fuel (in gmol/cm³-s), and list parameters A, Ea, m, and n from the table. Reference "an introduction to combustion" Turns/Haworth

For P = 1 atm and T = 1600 K, calculate the initial molar concentrations of methane and oxygen in gmol/cm³ and kmol/m³

Compute the reaction rate of fuel in gmol/cm³-s and kg/m³-s. Compute the reaction rate of oxygen in gmol/cm³-s and kg/m³-s.

Compute the reaction rate of oxidizer in kg/m³-s. Note that oxidizer includes both oxygen and nitrogen.

Compute the production rates of CO₂, H₂O, and N₂ in gmol/cm³-s

Compute the production rates of CO₂, H₂O, and N₂ in kg/m³-s

Add d and f to compute the reaction rate of reactants (both fuel and oxidizer) in kg/m³-s

Add production rate of all products in h to show that the reaction rate and production rate are the same in units of kg/m³-s