A continuous fractionating column is to be designed for separating 10,000kg per hour of a liquid mixture containing 45 mole percent methanol and 55 mole percent water into an overhead product containing 97 mole percent methanol and a bottom product having 98 mole percent water. A mole reflux ratio of 4 is used. Calculate (i) moles of overhead product obtained per hour and (ii) number of ideal plates and location of the feed plate if the feed is at its bubble point