Activated Carbon: Adsorption for Water Purification

simulator intermediate ~12 min
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q_e = 39.5 mg/g — Freundlich K=30, 1/n=0.4, C₀=2 mg/L

With Freundlich K=30 and 1/n=0.4, activated carbon adsorbs 39.5 mg/g at 2 mg/L influent concentration. Carbon usage rate is 0.051 g/L, with estimated breakthrough at ~15,400 bed volumes.

Formula

Freundlich isotherm: q_e = K_F × C_e^(1/n)
Carbon usage rate: CUR = C₀ / q_e
Bed volumes: BV = q_e × ρ_bed / C₀

Surface Area and Porosity

Activated carbon has an internal surface area of 800-1200 m² per gram — roughly the area of four tennis courts packed into a sugar cube. This enormous surface comes from a network of micropores (< 2 nm), mesopores (2-50 nm), and macropores (> 50 nm) created by thermal or chemical activation of raw materials like coconut shell, coal, or wood. Contaminant molecules diffuse into these pores and bind to the carbon surface through van der Waals forces.

The Freundlich Isotherm

The Freundlich equation q = K_F × C^(1/n) describes how much contaminant carbon can hold at a given water concentration. K_F quantifies adsorption capacity — higher values mean the carbon has greater affinity for the target compound. The exponent 1/n describes the isotherm shape: values below 0.5 indicate favorable adsorption where capacity changes little with concentration, ideal for treatment applications.

Breakthrough and Column Design

In a GAC column, adsorption occurs in a moving mass transfer zone (MTZ). Fresh carbon at the outlet provides polishing while saturated carbon at the inlet is exhausted. Breakthrough occurs when the MTZ reaches the outlet and effluent quality begins to degrade. The simulation models this process, showing how empty bed contact time (EBCT) and carbon properties affect the volume of water treatable before replacement.

Regeneration and Sustainability

Spent GAC can be thermally regenerated at 800-900°C in the absence of oxygen, driving off adsorbed contaminants and restoring 85-95% of original capacity. This dramatically reduces cost and waste compared to single-use disposal. Large treatment plants operate on-site reactivation furnaces. The carbon typically survives 5-10 regeneration cycles before requiring replacement.

FAQ

What is the Freundlich adsorption isotherm?

The Freundlich isotherm models adsorption as q_e = K_F × C_e^(1/n), where q_e is the mass adsorbed per mass of carbon, C_e is the equilibrium concentration, K_F indicates adsorption capacity, and 1/n indicates intensity. It works well for heterogeneous surfaces like activated carbon across moderate concentration ranges.

What is a breakthrough curve?

When water flows through a carbon column, the effluent initially contains zero contaminant. As the carbon saturates from inlet to outlet, a concentration front moves through the bed. Breakthrough occurs when the front reaches the outlet and effluent concentration begins to rise. The carbon must then be replaced or regenerated.

What contaminants does activated carbon remove?

GAC effectively removes organic compounds including pesticides, pharmaceuticals, taste/odor compounds (geosmin, MIB), disinfection byproducts and precursors, volatile organic compounds, and some synthetic chemicals like PFAS. It is less effective for inorganic contaminants, highly polar compounds, and small ions.

What is the difference between GAC and PAC?

Granular activated carbon (GAC) is used in fixed-bed columns with 5-20 minute contact times. Powdered activated carbon (PAC) is dosed directly into the water, mixed, and removed by settling or filtration. GAC is more cost-effective for continuous treatment; PAC offers flexible seasonal dosing for intermittent contamination events.

Sources

Embed

<iframe src="https://homo-deus.com/lab/water-treatment/activated-carbon/embed" width="100%" height="400" frameborder="0"></iframe>
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