Question:

For the given separation process operating under the stated conditions, the percentage recovery of the target component is ______ % (rounded off to one decimal place).

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Set up the component mass balance for the target species across the separation unit and compute the recovery as product-stream amount divided by feed amount.
Updated On: Jul 17, 2026
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Correct Answer: 82.4

Solution and Explanation

Step 1: Write the overall and component mass balances for the separation process using the given flow rates and compositions.
Step 2: Solve the balance equations simultaneously for the unknown stream flow rate and composition.
Step 3: Compute the percentage recovery as the ratio of the target component recovered in the desired product stream to the amount fed.
This calculation gives a recovery of approximately 82.4%.
Step 4: Conclude.
\[ \boxed{82.4\%} \]
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