mws_che_int_txt_simpson13_examples

mws_che_int_txt_simpson13_examples - 07.03.1 07.03...

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Unformatted text preview: 07.03.1 07.03 Simpson’s 1/3 Rule for Integration-More Examples Chemical Engineering Example 1 In an attempt to understand the mechanism of the depolarization process in a fuel cell, an electro-kinetic model for mixed oxygen-methanol current on platinum was developed in the laboratory at FAMU. A very simplified model of the reaction developed suggests a functional relation in an integral form. To find the time required for 50% of the oxygen to be consumed, the time, s T is given by dx x x T 6 6 10 61 . 10 22 . 1 11 7 10 316 . 2 10 3025 . 4 73 . 6 a) Use Simpson’s 1/3 rule to find the time required for 50 % of the oxygen to be consumed. b) Find the true error, t E , for part (a). c) Find the absolute relative true error, t , for part (a). Solution a) ) ( 2 4 ) ( 6 b f b a f a f a b T 6 10 22 . 1 a 6 10 61 . b 6 10 91500 . 2 b a x x x f 11 7 10 316 . 2 10 3025 . 4 73 . 6 ) ( 11 6 11 7 6 6 10 0581 . 3 10 22 . 1 10 316 . 2 10 3025 . 4 10 22 . 1 73 . 6 10 22 . 1 f 11 6 11 7 6 6 10 2104 . 3 10 61 . 10 316 . 2 10 3025 . 4 10 61 . 73 . 6 10 61 . f 07.03.2 Chapter 07.03 11 6 11 7 6 6 10 1089 . 3 10 91500 . 10 316 . 2 10 3025 . 4 10 91500 . 73 . 6 10 91500 ....
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mws_che_int_txt_simpson13_examples - 07.03.1 07.03...

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