Q: A reversible chemical reaction 2A + B = C can be characterized by the equilibrium relationship: K=, where the nomenclature c; represents the concentration of constituent i. Suppose that we define a variable x as representing the number of moles of C that are produced. Conservation of mass can be used to reformulate the equilibrium relationship as: K=. CC,0 + x (Ca,o2x)²(Cb,o - x) where the subscript 0 designates the initial concentration of each constituent. If K = 0.016, Ca,o = 42, Cb,o = 28, and Cc,o = 4, determine the value of x using: a). Bisection method with initial guesses of x = 0 and xu = 20 and within a total error of 2 (determine required number of iterations in advance). b). False-Position method with initial guesses of x₁ = 0 and xu = 20 and within an approximate error of 10%. c). Newton method with xo = 10 and within an approximate error of 1%. d). Secant method with xo = 0 and x₁ = 10 and within an approximate error of 1%.

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