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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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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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