5.18 The saturation concentration of dissolved oxygen in freshwater can be calculated with the equation (APHA, 1992) lnosf=139.34411+Ta1.575701105Ta26.642308107+Ta31.2438001010Ta48.6219491011 where osf= the saturation concentration of dissolved oxygen in freshwater at 1atm(mg/L) and Ta= absolute temperature (K). Remember that Ta=T+273.15, where T= temperature (C). According to this equation, saturation decreases with increasing temperature. For typical natural waters in temperate climates, the equation can be used to determine that oxygen concentration ranges from 14.621mg/L at 0C to 6.413mg/L at 40C. Given a value of oxygen concentration, this formula and the bisection method can be used to solve for temperature in C. (a) If the initial guesses are set as 0 and 40C, how many bisection iterations would be required to determine temperature to an absolute error of 0.05C ? (b) Develop and test a bisection program to determine T as a function of a given oxygen concentration to a prespecified absolute error as in (a). Given initial guesses of 0 and 40C, test your program for an absolute error and the following cases: osf=8,10, and 12mg/L. Check your results