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fractional volume of an extraction solvent 

An optimum volume of an extraction solvent is the calculated volume of an extraction solvent needed to extract all the desired solute from a given mass of a solid material based on the liquid to solid ratio experimentally established.

A Fractional Volume of an extraction solvent is a fraction of the optimum volume of the extraction solvent, into which the optimum volume of an extraction solvent is equally divided.

or

A Fractional Volume of an extraction solvent is an equal fraction of the optimum volume of the extraction solvent, into which the optimum volume of an extraction solvent is divided.
If 100ml hot water is required to extract all the tea from a tea bag, then 100ml hot water is the optimum volume of the extraction solvent. Ten 10ml volumes of hot water are fractional volumes of an extraction solvent i.e. hot water. Each fractional volume of an extraction solvent can then be used to extract the tea from the tea bag in a single extraction cycle. To use all the ten fractional volumes of the extraction solvent it would need to carry out the extraction in ten extraction cycles. Should one opt to use 20ml of hot water to extract the tea from the tea bag, then the optimum volume of the extraction solvent, 100ml ought to be divided into five fractional volumes of an extraction solvent (hot water), each of which equals 20ml. The fractional volume of the extraction solvent of 20ml would then be used in each extraction cycle.
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Fractional Volume of an extraction solvent 

Fractional Volume of an extraction solvent is a fraction of the optimum volume of the extraction solvent obtained by dividing the optimum volume of the extraction solvent needed to extract all of the desired solute from a given mass of the solid material into equal smaller volumes for use in separate extraction cycles
If 100ml of an extraction solvent is the optimum volume that would extract all the herbal solute from a medicinal herb, then 100ml/2 gives a fractional volume of an extraction solvent of 50ml, 100ml/3 gives a fraxtional volume of an extraction solvent of 33.333ml

100ml/4 gives a fraxtional volume of an extraction solvent of 25ml,
1/5 x 100 ml gives a fraxtional volume of an extraction solvent of 20ml.

Using fractional volumes of an extraction solvent for extraction purposes gives better extraction yields than using the optimum volume of an extraction solvent as a whole.
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