Equation 8-21 was derived by taking the derivative of Equation 8-19, setting this to zero and solving

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Equation 8-21 was derived by taking the derivative of Equation 8-19, setting this to zero and solving for \(x m\), the maximum rate. Perform the same procedure on Equation 8-20, which applies for small values of \(B\). Example 8-2 determines a value of \(x m\) using the exact Equation 8-21. Compute \(x m\) using the equation derived for this problem and compare to the more detailed result. What is the percentage error?

Im = 1 2nB [-(T -(T+2n)+T [T+4n(1 + B)] (8-21)

dx dT (1-x)" exp TBx 1+Bx (8-19)

dx dr (1-x)"exp (TBx) (8-20)

Example 8-2 A chemical reactor currently has a temperature of 400 K. Given the calorimetry data provided

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