In the production of biodiesel from oil and methanol, the reactor conversion is given by this equation:

where the catalyst load is 1% of KaOH, Cat51, and the reaction takes place at 60C and 4 bar. The molar ratio between methanol and oil is 6.
The products from the reactor are distilled and 98% of the unconverted methanol is recovered. Determine the methanol fed to the system per 100 kmol/h of oil, and the purge fraction if the commercial oil contains 0.02 kmol of water per kmol of oil. Water leaves with the methanol. The catalyst is capable of handling 5 kmol of water per 100 kmol of the methanoloil mixture.

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Yield 65.6301+0.4209 T+ 15.1582 Cat +3.1561 RM-0.0019-72 -0.2022 T Cat -0.01925-T RM-4.0143 Cat2 -0.3400-Cat-RM -0.1459-RM