In the production of a bean oil, beans containing 13.0 wt% oil and 87.0% solids are ground and fed to a stirred tank (the extractor) along with a recycled stream of liquid n-hexane. The feed ratio to the extractor is 3.50 kg hexane/kg beans. The ground beans are suspended in the liquid, and essentially all of the oil in the beans is extracted into the hexane. The extractor effluent passes to a filter where the solids are collected and form a filter cake. The filter cake contains 70.0 wt% bean solids and the balance bean oil and hexane, the latter two in the same ratio in which they emerge from the extractor. The filter cake is discarded and the liquid filtrate is fed to a heated evaporator in which the hexane is vaporized and the oil remains as a liquid. The oil is stored in drums and shipped. The hexane vapor is subsequently cooled and condensed, and the liquid hexane condensate is recycled to the extractor. Perform balances around the filter to determine the following quantities. Total mass of the filter cake: 124.3 kg Mass fraction of oil in the filter cake: Total mass of the filtrate: 325.7 kg Mass fraction of oil in the filtrate:
In the production of a bean oil, beans containing 13.0 wt% oil and 87.0% solids are ground and fed to a stirred tank (the extractor) along with a recycled stream of liquid n-hexane.
The feed ratio to the extractor is 3.50 kg hexane/kg beans. The ground beans are suspended in the liquid, and essentially all of the oil in the beans is extracted into the hexane.
The extractor effluent passes to a filter where the solids are collected and form a filter cake. The filter cake contains 70.0 wt% bean solids and the balance bean oil and hexane, the latter two in the same ratio in which they emerge from the extractor.
The filter cake is discarded and the liquid filtrate is fed to a heated evaporator in which the hexane is vaporized and the oil remains as a liquid. The oil is stored in drums and shipped. The hexane vapor is subsequently cooled and condensed, and the liquid hexane condensate is recycled to the extractor.
| Total mass of the filter cake: | 124.3 kg |
| Mass fraction of oil in the filter cake: | |
| Total mass of the filtrate: | 325.7 kg |
| Mass fraction of oil in the filtrate: |
The system basis will be fresh beans. Solid overall balance is considered where solid in the bean is equal to solid in filter cake. Overall oil balance where oil in beans is equal to the sum of oil in filter cake and evaporator. The oil exit from the extractor will be equal to oil in beans.
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