Operating conditions at the top of a vacuum distillation column for the separation of ethylbenzene from styrene are given below, where the overhead vapor is condensed in an air cooled condenser to give subcooled reflux and distillate. Using the property constants in Example 2.3, estimate the heat transfer rate (duty) for the condenser in Kj/h, assuming an ideal gas and ideal gas and liquidsolutions.

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Overhead Distillate Vapor Reflux Phase condition Liquid 325 Vapor Liquid Temperature, K Pressure, kPa Component flow rates, kg/h: Ethylbenzene Styrene 331 325 6.40 6.69 6.40 10,540 77,500 2,500 66,960 2,160 340