In thermodynamics, you learned that the saturation pressure for a one component vapor–liquid equilibrium can be computed using an integral construction from the phase diagram, where the area “under” or “over” the curve needs to be equal. Using a departure function method, the saturation pressure at 395 K for the van derWaals fluid in Problem 5 was 1.404 886 MPa. Write a MATLAB program that uses Gauss quadrature to see if this result also agrees with the integral construction.

Problem 5

If I want to compute the integral

using two point Gauss quadrature, at what values of x do you evaluate the function x^{cos πx}?

Transcribed Image Text:

So xсos лx dx