a. Starting from the expression dG=SdT+Vdp+gdn(EqQ1.1) Derive an expression for the equilibrium constant Kp(T) for the reaction 21O2+21N2NO(EqQ1.2) State clearly your assumptions. Marks will be lost for lack of clear working. b. Calculate the product composition (mole fractions) arising from the combustion of Octane (C8H18) burning in air with an air/fuel equivalence ratio =0.8 and assuming the only equilibrium reaction taking place is given by Eq 1.2. For the purposes of this question, the adiabatic flame temperature may be taken as 1400K and the combustion process takes place at a constant pressure of p0=1 bar. Make clear your working up to and including the development of the nonlinear equations governing the product gas composition: at that point, you may use whatever means necessary (MATLAB/FORTRAN code, graphical calculator etc.) to solve the resulting equations