NUMERICAL INTEGRATION 4. [Numerical Integration] The Work Produced By A Thermodynamic Process Can Be Calculated Using The Following Integral Trapezoidal Rule W = PdV Where W Is Work, P Is Pressure And V Is Volume. Use The Following Data To Calculate An Estimate For The Total Work Done By The System In KJ (= KN M= KPa Mº) Using A Combination Of Simpson's

 

4. [Numerical Integration] The work produced by a thermodynamic process can be calculated using the following integral W = = Pav PdV where W is work, P is pressure and V is volume. Use the following data to calculate an estimate for the total work done by the system in kJ (= kNm = kPa m) using a combination of Simpson's Rules. Volume 0.5 0.6 0.7 0.8 0.9 1 (m) Pressure 250 220 207 188 175 163 (kPa) (25 marks) NUMERICAL INTEGRATION Trapezoidal Rule I=(ba): Simpsons 1/3 Rule h (a)+ f (b) 2 1 3 [f(x)+4 (x) +(x2)] Simpson's 3/8 Rule 3h l [f(x)+3(x) +3 (x2) 8 + f (x3)]