Invertase is immobilised in ion-exchange resin of average diameter 1 mm. The amount of enzyme in the beads is measured by protein assay as 0.05 kg m ^-3. 20 cm ^3 beads are packed into a small column reactor; 75 ml sucrose solution at a concentration of 16 mM is pumped rapidly through the bed. In another reactor an identical quantity of free enzyme is mixed into the same volume of sucrose solution. Assume the kinetic parameters for free and immobilised enzyme are equal: K,,, is 8.8 mM and the turnover number is 2.4 x 10 gmol glucose (g enzyme)-'s^-1. The effective diffusivity of sucrose in the ion-exchange resin is 2 x 10^-6cm2s 4. What is the rate of reaction by free enzyme? 

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#Question id: 15569

#Section 1: Engineering Mathematics

A root x⁴ — 3x + 1 = 0 needs to be found using the Newton-Raphson method. If the initial guess xo and 0, then the new estimate x1 after the first iteration is 

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#Question id: 15570

#Section 1: Engineering Mathematics

To solve x² - 2 = 0, the Newton-Raphson method has been employed. If the initial guess xo = 1.0, the next estimate of the root, x1, will be 

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#Question id: 15571

#Section 1: Engineering Mathematics

The approximate value of a root of x³ -13 = 0, then 3.5 as initial value, after one iteration using Newton-Raphson method, is 

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#Question id: 15572

#Section 1: Engineering Mathematics

What is the cube root of 1468 to 3 decimal places? 

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#Question id: 15573

#Section 4: Fundamentals of Biological Engineering

For the first-order reaction given by 2N2O5 → 4NO2 + O2 the initial concentration of N2O5 was 0.1M (at a constant temperature of 300K). After 10 minutes, the concentration of N2O5 was found to be 0.01M. Find the rate constant of this reaction (at 300K).

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#Question id: 15574

#Section 5: Bioprocess Engineering and Process Biotechnology

For the first-order reaction given by 2N₂O₅ → 4NO₂ + O₂ the initial concentration of N₂O₅ was 0.1M (at a constant temperature of 300K). After 10 minutes, the concentration of N₂O₅ was found to be 0.01M. Find the rate constant of this reaction (at 300K).