A mass balance for a pollutant in a well mixed lake can be written as V dc dt W Qc kVc Given the parameter values V 1 x 10 6 m 3 , Q 1 x 10 5 m 3 yr, W l x 10 6 g yr, and k 0 25 m 0 5 g 0 5 yr, use the modified secant method to solve for the steady state concentration Employ an initial guess of c 4...

The function to be evaluated is Using an initial guess of x 0 4 and d 05 the three iterations ...

A mass balance for a pollutant in a well-mixed lake can be written as V dc/dt

Question:

A mass balance for a pollutant in a well-mixed lake can be written as V dc/dt – W – Qc - kV√c. Given the parameter values V = 1 x 10⁶m³, Q = 1 x 10⁵ m³/yr, W = l x 10⁶ g/yr, and k = 0.25 m^0.5/g^0.5/yr, use the modified secant method to solve for the steady-state concentration. Employ an initial guess of c = 4 g/m³ and δ = 0.5. Perform three iterations and determine the percent relative error after the third iteration.