Simpsons 38 Rule

Example 5 Application of Effectiveness For a second-order reaction in a plug flow reactor the Thiele modulus is ( ) = SVQ, and inlet concentration is C50 = 1.0. The equation will he integrated for 80 percent conversion with Simpsons rule. Values of T) are... 

The integrand is evaluated at three points and the integration is accomplished with Simpsons rule. 

The integral is evaluated with Simpsons rule, as tabulated. The deviation from ideality is small. At 700 K. for instance, V = 2.1925 from Eq (1) compared with the ideal value 2.2974. 

The integrands are tabulated for the adiabatic and isothermal cases, and the integrals are evaluated with Simpsons rule. 

Integration is with Simpsons rule for which the data are tabulated. 

The integrands are tabulated at several values of x and the integration is with Simpsons rule. 

The partial pressures and and the rates will be found at conversions of 0, 45% and 90% and Simpsons rule will be applied for a very rough value of the integration. With the data of the table,... 

The tabulation gives the values of r from Eq (1) at spacings designed for integration with Simpsons rule. 

The integrand is tabulated. Integration is with Simpsons Rule. 

When we use a simple Simpson rule for the f-integration we can approximate the above integral as... 

Values of [q] (V) were obtained directly from the curve shown in fig. 4. All our calculations were performed manually by taking approximately 40 raw chromatogram heights from across the entire sample. Greater accuracy would be achieved using a computer with a more accurate integration routine (based, eg., on Simpson Rule). 

Overbeek (11) were used. The integral over the spherical surface region corresponding to that for an infinite flat plate given in Equation 4 was done numerically using Simpsons rule and results in Equation 9a. 

F0RMAT(1H, 15X, SIMPSON RULE TO CALCULATE THE INTEGRATION, ) WRITE(1,105)... 

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