Activated Carbon Adsorber Bed Life and Breakthrough
How long an activated carbon bed lasts before breakthrough.
Example
You enter
- Carbon in the bed (lb) 2000
- Working capacity (% of carbon mass) 10
- Solvent loading rate (lb/h) 1.4
- Operating hours per day 8
- Degraded working capacity, humid or warm (%, 0 to skip) 6
You get
- Bed capacity 200.0 lb of solvent
- Bed life hours 142.857
- Bed life (days) 5.95238
- Operating (days) 17.8571
- Degraded life hours 85.7143
- Life lost (%) 40
Details, formula, and sources
How long an activated carbon bed lasts before breakthrough, and why a change-out schedule built on that number is not a control strategy. Bed life is the carbon's mass times its working capacity divided by the rate solvent arrives -- simple arithmetic whose every term is uncertain. Working capacity is pounds of solvent held per pound of carbon at the ACTUAL operating conditions, commonly a fraction of the isotherm capacity, and it is entered rather than assumed because it depends on the solvent, the concentration, the temperature and the humidity. Humidity is the term that surprises people. Water competes for the same adsorption sites, so a stream at high relative humidity can cut the working capacity by a third or more, and a bed sized on dry-air data and installed on a humid stream reaches breakthrough far sooner than its schedule expects. Temperature works the same way: capacity falls as the gas warms, which is why an adsorber downstream of a process that has warmed up performs worse in the afternoon than it did at start-up. Both cases are the same arithmetic with a smaller capacity, which is why the degraded case is computed here beside the design one. Breakthrough is a CLIFF and that is what makes bed life different from filter life. A carbon bed removes essentially everything until its mass transfer zone reaches the outlet, and then the outlet concentration rises quickly toward the inlet -- so a bed at 95 percent of its life is performing perfectly and a bed at 105 percent is doing nothing. There is no gradual degradation to notice, no rising pressure drop to trend, and the only reliable detection is monitoring the outlet. A timer is a guess about capacity rather than a measurement of performance, and it fails silently in the direction of emissions. This computes life from ENTERED capacity and loading; it does not derive working capacity from an isotherm, model the mass transfer zone or its length, size the bed for a residence time or a face velocity, address regeneration by steam or hot gas and the recovered solvent it produces, evaluate bed fires (a real hazard with ketones and with high-temperature regeneration), or address the vessel and its ducting. The carbon supplier's isotherm data at the operating conditions, outlet monitoring, and the permit govern.
bed capacity = carbon mass x working capacity; bed life = that capacity / the solvent loading rate; operating days = the life in hours over the hours worked per day; and the degraded case is the same arithmetic at a lower working capacity.
Adsorber bed life as activated carbon practice writes it, with working capacity ENTERED at the ACTUAL operating conditions because water competes for adsorption sites and capacity falls with humidity and with temperature. It does not derive working capacity from an isotherm, model the mass transfer zone, size the bed for residence time or face velocity, address regeneration and the recovered solvent, evaluate bed fires, or address the vessel and ducting.
One mass over one rate.
Estimate. AHJ and licensed professional govern.
Field names used by the API: carbon_lb, working_capacity_pct, loading_lb_h, operating_hours_per_day, degraded_capacity_pct, bed_capacity_lb, bed_life_hours, bed_life_days, operating_days, degraded_life_hours, life_lost_pct
- Working capacity is entered it depends on solvent, concentration, temperature and humiditythe carbon supplier's isotherm data
- The mass transfer zone is not modelled its length decides how sharp the breakthrough isthe adsorber designer
- Bed fires are not evaluated a real hazard with ketones and high-temperature regenerationthe process safety review