A chemist performs an experiment to find the acidity of magnesium hydroxide solution in hydrochloric acid. He obtains the following equation : 1. e-X = x3 + 4.5x² – 40 where x is the hydronium ion concentration. By using Bisection method with initial guess of x = 2 and xu = 3, help the chemist to determine the hydronium ion concentration for the solution. The acceptable approximate percentage error must be less than 2%. Perform the calculation up to 4 decimal points
A chemist performs an experiment to find the acidity of magnesium hydroxide solution in hydrochloric acid. He obtains the following equation : 1. e-X = x3 + 4.5x² – 40 where x is the hydronium ion concentration. By using Bisection method with initial guess of x = 2 and xu = 3, help the chemist to determine the hydronium ion concentration for the solution. The acceptable approximate percentage error must be less than 2%. Perform the calculation up to 4 decimal points
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:QUESTION 1
(Р01, СО1, С2)
A chemist performs an experiment to find the acidity of magnesium hydroxide solution
in hydrochloric acid. He obtains the following equation :
1.
e-X = x3 + 4.5x² – 40
where x is the hydronium ion concentration. By using Bisection method with initial guess
of x = 2 and xu = 3, help the chemist to determine the hydronium ion concentration for
the solution. The acceptable approximate percentage error must be less than 2%.
Perform the calculation up to 4 decimal points.
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