The following chemical reactions take place in a closed system 2A + B ( C, A + D ( C. At equilibrium. They can be characterized by

Where the nomenclature c_i represents the concentration of constituent i. If x₁ and x₂ are the number of moles of C that are produced duo to the first and second reactions, respectively, use an approach similar to that of Prob. 8.5 to reformulate the equilibrium relationship in terms of the initial concentrations of the constituents. Then, use the Newton-Raphson method to solve the pair of simultaneous nonlinear equations for x₁ and x_2?if K₁ = 4 x 10^-4, K₂ = 3.7 x 10^-2, c_a,₀ = 50, c_b,₀ = 20, c_c,₀ = 5, c_d,₀ = 10. Use a graphical approach to develop your initial guesses.

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сь Кз. K2 = CaCd