Question

# The procedure was applied to a new sample of 9.00 milliliters of the liquid mixture to extract component C. Due to the loss of volume from the procedure, the extracted volume of component was only 90.0% of the original volume of this component. What was the extracted volume of component C, in milliliters?

Percentage of Components in a Liquid Mixture, by Volume

A liquid mixture is composed of four components, and the table shows the percentage, by volume, of each component. The volume of each component prior to mixing is the same as the volume of that component in the mixture. A procedure can be used to extract the individual components that were combined to form the liquid mixture. When the procedure is applied to extract the components in the mixture, a portion of the volume of the components may be lost.

## The correct answer is: 1.62

### If there are *x* milliliters of liquid mixture, then volume of component C would be 20.0% = ^{th} of *x* milliliters.

Explanations:

Step 1 of 2:

The volume of the new sample liquid mixture is 9.00 milliliters.

Then volume of component C in that mixture is— milliliters.

As it is mentioned in the question that “the volume of each component prior to mixing is the same as the volume of that component in the mixture”, then the original volume of component C is 1.8 milliliters.

Step 2 of 2:

Due to loss of volume from the procedure, the extracted volume of component C was only 90.0% of the original volume of this component.

Then, extracted volume of C is— milliliters

Final Answer:

The extracted volume of component C, in milliliters, is 1.62

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