(Solved): Please only use Matlab code A reversible chemical reaction \[ A+B \rightleftarrows C \] can be char ...

Please only use Matlab code

A reversible chemical reaction \[ A+B \rightleftarrows C \] can be characterized by the equilibrium relationship \[ K=\frac{C_{c}}{C_{a}^{2} C_{b}} \] where the nomenclature \( C_{i} \) represents the concentration of constituent \( i \). Suppose that we define a variable \( x \) as representing the number of moles of \( \mathrm{C} \) that are produced. Conservation of mass can be used to reformulate the equilibrium relationship as \[ K=\frac{\left(C_{c, 0}+x\right)}{\left(C_{a, 0}-2 x\right)^{2}\left(C_{b, 0}-x\right)} \] where the subscript 0 designates the initial concentration of each constituent. If \( K= \) \( 0.016, C_{a, 0}=42, C_{b, 0}=28 \), and \( C_{c, 0}=4 \), determine the value of \( x \) using (a) graphical method, that is , plot \( f(x)=K-\frac{\left(C_{c, 0}+x\right)}{\left(C_{a, 0}-2 x\right)^{2}\left(C_{b, 0}-x\right)} \) (y-axis) versus \( \mathrm{x} \) (x-axis), and show the point for which function \( f \) passes \( \mathrm{x} \)-axis. (b) bisection method by choosing \( [a, b]=[0,20] \), and specified error \( E_{a}=0.01 \). Also determine the number of steps \( n \) ?