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If pressure is maintained such that x = 0.042 and given that -0.6

If pressure is maintained such that x = 0.042 and given that -0.6

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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2. (LO3) R-134a is a refrigerant with significantly low ozone depletion potential. As the chemical engineer of a food processing plant, you are required to predict potential adverse effects on the refrigerant in the event of a system malfunction. The formula for the equation of state for the prediction of the thermodynamic properties of R- 134a is given below. 0 = (0.40 – K1) + 1.50w – 0.17w? + 0.02w3 where Kis a constant at constant pressure and w is a variable known as the acentric factor. a. If pressure is maintained such that x = 0.042 and given that -0.6 sws 0, find w using i. the bisection method ii. Newton-Raphson method correct to 2 decimal places. b. If it is required to calculate the variation in w with changing x, which of these two methods do you think is more efficient when implemented in mathematical software?
Transcribed Image Text:2. (LO3) R-134a is a refrigerant with significantly low ozone depletion potential. As the chemical engineer of a food processing plant, you are required to predict potential adverse effects on the refrigerant in the event of a system malfunction. The formula for the equation of state for the prediction of the thermodynamic properties of R- 134a is given below. 0 = (0.40 – K1) + 1.50w – 0.17w? + 0.02w3 where Kis a constant at constant pressure and w is a variable known as the acentric factor. a. If pressure is maintained such that x = 0.042 and given that -0.6 sws 0, find w using i. the bisection method ii. Newton-Raphson method correct to 2 decimal places. b. If it is required to calculate the variation in w with changing x, which of these two methods do you think is more efficient when implemented in mathematical software?
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