Solid Sorbent TVSA Direct Air Capture (DAC) Energy Simulator
Temperature-Vacuum Swing Adsorption • Moisture Evaporation Penalty • Aerodynamic Contactor Fan Work • Net Carbon Yield
1. Ambient Conditions & Contactor Flow
2. Sorbent Matrix & Thermal TVSA Cycle
3. Energy Supply & Carbon Intensity
Modular Direct Air Capture (DAC) Pod & Energy Balance Profile
Direct Air Capture (DAC) Mass & Energy Balance Audit
Governing Direct Air Capture TVSA Thermodynamics
q_{thermal} = [ (ΔH_{chem}/M_{CO2}) + (r_{H2O/CO2} × M_{H2O}/M_{CO2} × ΔH_{vap,H2O}) + q_{sensible} ] × (1 + f_{loss})
Where ΔH_{chem} ~ 78 kJ/mol, ΔH_{vap,H2O} ~ 44 kJ/mol (2,442 kJ/kg), and q_{sensible} accounts for heating sorbent and steel structure.
V_{air,req} = 1000 / (ρ_{air} × C_{CO2,ppm} × 10^{-6} × (44.01/28.97) × η_{cap}) (m³ air / t CO₂)
W_{fan} = (V_{air,req} × ΔP) / (3.6 × 10^6 × η_{fan}) (kWh / t CO₂)
E_{incurred} = (W_{total,elec} × CI_{grid} / 1000) + (q_{thermal} × 1000 × CI_{thermal} / 1000) (kg CO₂e / t CO₂)
η_{net} = 100% × (1 - E_{incurred} / 1000) | Net Removal = Gross × η_{net} (t/day)
5 Fatal Traps & Engineering Pitfalls
1. Parasitic Co-Adsorbed Water Thermal Vicious Cycle
Solid amine sorbents are strongly hydrophilic. In humid air (60% to 80% RH), water co-adsorbs at ratios exceeding 2.5 to 3.5 moles H₂O per mole CO₂ (up to 1.4 kg water per kg CO₂). Because water latent heat of vaporization (~2,440 kJ/kg) is enormous, boiling off co-adsorbed water can consume over 3.5 to 5.0 GJ/t CO₂ alone—more than the amine-CO₂ desorption chemistry itself. Siting DAC plants in humid coastal environments without internal heat recovery doubles boiler operating costs.
2. Contactor Pressure Drop Aerodynamic Power Explosion
Because ambient CO₂ is ultra-dilute (420 ppm), processing 1 tonne of CO₂ requires forcing 2 to 3 million m³ of ambient air through the contactor. Fan power scales linearly with pressure drop. If sorbent bed pleating is too tight, or if particulate pre-filters clog, driving contactor ΔP from 150 Pa to 400 Pa triples fan electric demand from 150 kWh/t to 400 kWh/t. The contactor fans alone will consume more electricity than the multi-stage 110-bar export CO₂ compressor.
3. Grid Emission Rebound & Project Additionality Collapse
Operating DAC with standard grid electricity and fossil gas boilers completely negates carbon removal. At an electric load of 550 kWh/t and thermal heat of 6.5 GJ/t, running on a regional grid emitting 450 g CO₂/kWh and a gas boiler emitting 56 g CO₂/MJ incurs 611 kg of emissions for every 1,000 kg captured—collapsing net carbon removal efficiency to an unacceptable 39%. DAC is only thermodynamically viable when co-located with dedicated geothermal, nuclear, or surplus wind/solar combined with industrial waste heat.
4. Oxidative Amine Degradation & Carbamate Dehydration
Solid amine sorbents (such as branched polyethylenimine PEI) degrade rapidly if heated above 80°C in the presence of trace oxygen, undergoing oxidative scission into volatile aldehydes, carboxylic acids, and nitrosamines. Furthermore, overheating sorbent in dry vacuum conditions dehydrates carbamates into irreversible cyclic ureas, permanently destroying active basic amine sites. If vacuum isolation valves fail to achieve airtight sealing (<20 kPa abs) before admitting 100°C steam, sorbent working life drops from 3 years to under 4 months.
5. Excessive Contactor Void Volume & Parasitic Vacuum Evacuation Work
Designing oversized air plenums or sloppy manifold clearances creates huge internal gas void volumes inside the sealed collector pod. When the pod transitions from adsorption to desorption, the vacuum pumps must evacuate thousands of cubic meters of non-condensable atmospheric nitrogen and oxygen down to 20 kPa before desorption can even begin. This vacuum pump overhead adds 60 to 120 kWh/t of wasted electricity and dilutes the initial CO₂ output below 90% purity, triggering product venting.