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GATE 2023 ES – Question 56

Water and Wastewater Treatment and Management · Water Treatment · 2 marks · Numerical answer

A 100 mL flask contains .12 mg/L geosmin. Carbon follows Freundlich $q=2.6C^{.73}$ mg adsorbate/mg adsorbent, where C is equilibrium mg/L. Find carbon dose to reach.05 mg/L, in mg/L, to three decimals.

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Correct answer: 0.230 to 0.245

Explanation

At target concentration,$q=2.6(.05)^{.73}=.29189$ mg/mg approximately. Removed geosmin per litre is .12−.05=.07 mg/L, so carbon dose is $M/V=.07/[2.6(.05)^{.73}]=.2398151$ mg/L. Rounded **.240 mg/L**. Actual carbon mass in the.1 L flask is .0239815 mg; the requested dose is per litre.

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