5.9) The saturation conce freshwater can be calculated with the equation 1.575701 × 10³ Ta In o,ƒ = − 139.34411+ 6.642308 × 107 T² 8.621949 × 10¹¹ TA 1.243800 × 1010 T3 where of the saturation concentration of dissolved oxy- gen in freshwater at 1 atm (mg L-¹); and T = absolute temperature (K). Remember that T = 7+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 de- termine that oxygen concentration ranges from 14.621 mg/L at 0 °C to 6.413 mg/L at 40 °C. Given a value of oxygen con- centration, 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 40 °C, how many bisection iterations would be required to determine tem- perature to an absolute error of 0.05 °C? (b) Based on (a), develop and test a bisection M-file function to determine T as a function of a given oxygen concen- tration. Test your function for of = 8, 10 and 12 mg/L. Check your results.

5.9) The saturation conce freshwater can be calculated with the equation 1.575701 × 10³ Ta In o,ƒ = − 139.34411+ 6.642308 × 107 T² 8.621949 × 10¹¹ TA 1.243800 × 1010 T3 where of the saturation concentration of dissolved oxy- gen in freshwater at 1 atm (mg L-¹); and T = absolute temperature (K). Remember that T = 7+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 de- termine that oxygen concentration ranges from 14.621 mg/L at 0 °C to 6.413 mg/L at 40 °C. Given a value of oxygen con- centration, 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 40 °C, how many bisection iterations would be required to determine tem- perature to an absolute error of 0.05 °C? (b) Based on (a), develop and test a bisection M-file function to determine T as a function of a given oxygen concen- tration. Test your function for of = 8, 10 and 12 mg/L. Check your results.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Concept explainers

Properties of Pure Substances

A substance with fixed chemical composition throughout is called a pure substance like water, air, and nitrogen. A pure substance does not have to be a single element or compound. A mixture of two or more phases of a pure substance is also a pure substance as long as the chemical composition is the same for all phases. These substances mainly have a constant/ uniform composition. The substances also have fixed boiling and melting points. A pure substance takes part in a chemical reaction to form predictable products.

Question

5.9) The saturation concentration of dissolved oxygen Ill
freshwater can be calculated with the equation
1.575701 × 10³
In o、ƒ = − 139.34411+
Ta
6.642308 × 107
T²
8.621949 × 10¹¹
TA
1.243800 × 1010
T3
where of the saturation concentration of dissolved oxy-
gen in freshwater at 1 atm (mg L-'); and T = absolute
temperature (K), Remember that T₂ = 7 +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 de-
termine that oxygen concentration ranges from 14.621 mg/L
at 0 °C to 6.413 mg/L at 40 °C. Given a value of oxygen con-
centration, 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 40 °C, how many
bisection iterations would be required to determine tem-
perature to an absolute error of 0.05 °C?
(b) Based on (a), develop and test a bisection M-file function
to determine T' as a function of a given oxygen concen-
tration. Test your function for of = 8, 10 and 12 mg/L.
Check your results.

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