Equilibrium conversion $)$ for a reversible reaction, $2$AharrB$+C,$ can be calculated from the

following equation

$K_C=\frac{C_B{C}_C}{C_A^2}$

where, $K_C$ is the thermodynamic equilibrium constant, $C_A,C_B,$ and $C_C$ are the concentrations of

reactant A$,$ and products B and C$,$ respectively. Given that $C_A=C_{A0}(1-x_e),$ and $C_B=C_C=C_{A0}\frac{x_e}{2}$

calculate the equilibrium conversion $(x_e)$ for $K_C=0\mathrm{.}11$ and $C_{A0}=0\mathrm{.}4mo\frac{l}{L},$ by using bisection

method.

For fluid flow in pipes, friction is described by a dimensionless number, the Fanning friction

factor $f.$ The Fanning friction factor is dependent on a number of parameters related to the size

of the pipe and the fluid, which can all be represented by another dimensionless quantity, the

Reynolds number Re$.$ A formula that predicts $f$ given Re is the von Karman equation:

$\frac{1}{\sqrt[\phantom{2}]{f}}=4lo{g}_{10}(Re\sqrt[\phantom{2}]{f})-0\mathrm{.}4$

Typical values for the Reynolds number for turbulent flow are $10,000$ to $500,000$ and for the

Fanning friction factor are $0\mathrm{.}001$ to $0\mathrm{.}01.$ Develop a function that uses regula$-$falsi to solve for $f$

given a user$-$input value of Re between $2500$ and $1,000,000.$ Design the function so that it ensures

that the absolute error in the result is less than $0\mathrm{.}000005.$

Write generic function files for implementing the bisection and regula falsi methods. Evaluate

your implementations by testing them with one of the provided questions.