The following statement is applicable to Question 3 and 4:
In the field of Chemical Engineering, Van der Waals' equation has significant importance, especially in studying the behavior of gases. In an experiment, the following equation was generated, where s represents the volume of the gas: f(s) = 0.986s^3 + 5.181s^2 + 9.067s + 5.289.
QUESTION 3 [10 Marks]
(a)
Show that one of the roots of the equation is between (1,2).
[4 marks] Approximate the volume of the gas (volume of the gas s) by using the False-Position method for 3 iterations.
(b)
[6 marks]
APU Level 3
Asia Pacific University of Technology and Innovation
2022
AQ100-3-3-NMS
Class Test 1.
Page 2 of 2
QUESTION 4 [10 Marks]
Approximate the root of the equation (volume of the gas s) by using the Newton-Raphson method (correct to 4 digits) with s = 2.0 for 3 iterations.
(10 marks)