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A filtration is conducted at constant pressure to recover solids from dilute slurry . To reduce the time of filtration , the solids concentration in the feed slurry is increased by evaporating half the solvent . If the resistance of the filter medium is negligible , the filtration time will be reduced by a factor of ( a ) 1 ( b ) 2 ( c ) 4 ( d ) 8?
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A filtration is conducted at constant pressure to recover solids from ...
Solution:

Given: Filtration is conducted at constant pressure to recover solids from dilute slurry. To reduce the time of filtration, the solids concentration in the feed slurry is increased by evaporating half the solvent. The resistance of the filter medium is negligible.

To find: The factor by which the filtration time will be reduced.

Assumption: The filtration rate is proportional to the concentration of solids in the feed slurry.

Let V be the volume of the feed slurry, C be the initial concentration of solids in the feed slurry, and t be the filtration time.

The mass of solids in the feed slurry = VC.

After evaporating half the solvent, the volume of the slurry becomes V/2, and the concentration of solids becomes 2C.

The mass of solids in the new slurry = (V/2) x 2C = VC.

Since the resistance of the filter medium is negligible, the filtration rate is proportional to the concentration of solids in the feed slurry.

Therefore, the new filtration time t' can be found by using the equation:

VC/t = VC/t'

Simplifying, we get:

t' = t/2

Hence, the filtration time will be reduced by a factor of 2.

Therefore, the answer is (b) 2.

Explanation:

When the concentration of solids in the feed slurry is doubled, the mass of solids in the slurry remains the same. Since the resistance of the filter medium is negligible, the filtration rate is proportional to the concentration of solids in the feed slurry. Therefore, doubling the concentration of solids in the feed slurry doubles the filtration rate, and hence halves the filtration time. Hence, the filtration time will be reduced by a factor of 2.
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A filtration is conducted at constant pressure to recover solids from ...
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A filtration is conducted at constant pressure to recover solids from dilute slurry . To reduce the time of filtration , the solids concentration in the feed slurry is increased by evaporating half the solvent . If the resistance of the filter medium is negligible , the filtration time will be reduced by a factor of ( a ) 1 ( b ) 2 ( c ) 4 ( d ) 8?
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A filtration is conducted at constant pressure to recover solids from dilute slurry . To reduce the time of filtration , the solids concentration in the feed slurry is increased by evaporating half the solvent . If the resistance of the filter medium is negligible , the filtration time will be reduced by a factor of ( a ) 1 ( b ) 2 ( c ) 4 ( d ) 8? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A filtration is conducted at constant pressure to recover solids from dilute slurry . To reduce the time of filtration , the solids concentration in the feed slurry is increased by evaporating half the solvent . If the resistance of the filter medium is negligible , the filtration time will be reduced by a factor of ( a ) 1 ( b ) 2 ( c ) 4 ( d ) 8? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A filtration is conducted at constant pressure to recover solids from dilute slurry . To reduce the time of filtration , the solids concentration in the feed slurry is increased by evaporating half the solvent . If the resistance of the filter medium is negligible , the filtration time will be reduced by a factor of ( a ) 1 ( b ) 2 ( c ) 4 ( d ) 8?.
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