Please show all work for this problem so that I may understand it better

2. Methane at 298K and 1 atm exits a cylindrical tube burner to form an adiabatic non-premixed jet flame attached to the rim of the burner in ambient air at 298K and 1atm. At each point within the flame: (a) local temperature, (b) local density, and the local mole fractions of: (c) methane, (d) carbon dioxide, (c) water vapor, (d) carbon monoxide, (e) hydrogen, ( f ) oxygen and (g) nitrogen are all functions only of the local mixture fraction (defined as the fraction of the local reacted and unreacted mass that originated within the cylindrical tube burner). Please (1) find the relationship between the local mixture fraction and the local equivalence ratio, and (2) complete local equilibrium calculations of the variables (a) through (g) above using your favorite chemical equilibrium computation code, such as NASA CEA (https://cearun.grc.nasa.gov/), Cantera or Chemkin (introduced to you in previous classes and Home Work problems), and plot these as functions of the local mixture fraction and as functions of the local equivalence ratio selecting appropriate, if necessary logarithmic, scales. Consider the range 0f1.0 with 5 values of the mixture fraction lower than the stoichiometrically correct mixture fraction and five values of mixture fraction greater than the stoichiometrically correct mixture fraction