Suppose 265 gallons265 gallons of a mixture containing 12 wt% NaCl (sodium chloride)12 wt% NaCl (sodium chloride) and 88 wt% water88 wt% water (solution density=1.0837 g/cm3)(solution density=1.0837 g/cm3) is mixed with an unknown volume of solution that is 26 wt% NaCl26 wt% NaCl and 74 wt% water74 wt% water (solution density=1.1944 g/cm3).(solution density=1.1944 g/cm3). Complete the questions to determine the volume of the second feed solution required to produce a mixture containing 17 wt% NaCl.17 wt% NaCl.

Label the flow chart of the mixing process. Do not leave any spaces empty.

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Answer Bank

unknownmulti-use

74, 26, 88, 12, 17, 265

How many unknowns are in the problem statement?

number of unknowns:

Which independent equations can be written to solve for the volume of the second feed solution?

volume balance on water

-The sum of the weight fractions of the 26 wt% NaCl26 wt% NaCl solution is equal to 1.

-mass balance on NaClNaCl

-volume balance on NaClNaCl

-volume balance on the total amount of fluid

-The density of the 12 wt% NaCl12 wt% NaCl solution relates the solution mass to volume.

-the sum of the weight fractions of the 12 wt% NaCl12 wt% NaCl solution is equal to 1.

-The sum of the weight fractions of the product solution is equal to 1.

-mass balance on water

-The density of the 26 wt% NaCl26 wt% NaCl solution relates the solution mass to volume.

What is the volume of the second feed solution?

volume of solution: