Quantities and Units in Chemical and Environmental Engineering
Abstract
:1. Introduction
- (1)
- General (2009)
- (2)
- Mathematics
- (3)
- Space and time
- (4)
- Mechanics
- (5)
- Thermodynamics
- (6)
- Electromagnetism (2008)
- (7)
- Light and radiation
- (8)
- Acoustics (2020)
- (9)
- Physical chemistry and molecular physics
- (10)
- Atomic and nuclear physics
- (11)
- Characteristic numbers
- (12)
- Condensed matter physics
- (13)
- Information science and technology (2008)
2. Methods
3. Results and Discussion
- Principles of fluid and particle dynamics, heat and mass transfer, chemical thermodynamics and kinetics, statistics, and optimization methods;
- Very diverse reactions: homogeneous liquid or gas ones, gas-liquid, or gas-liquid-solid ones, using blast, or rotary furnaces, fixed or fluidized beds, heterogeneous gas catalysis, electrolysis, photo-, or plasma-chemistry, etc.;
- Unit operations such as size reduction and classification, transportation, and storage, mechanical, magnetic, electric separations, mixing and conveying, heating, cooling, adsorption, absorption, extraction, ion exchange, distillation, evaporation, sublimation, refrigeration, crystallization, and drying;
- Process design, construction, operation, control, and development with modeling, costing, simulation, optimization, process safety, pollution, energy integration, waste management, and reuse, circular economy, renewable energy.
3.1. Basic Chemical Engineering Principles and Unit Operations
3.2. Chemical Reaction Engineering
3.3. Other Unit Operations
3.4. Process Development and Design
3.5. Environmental Quantities, Units, and Symbols
4. Conclusions
Funding
Conflicts of Interest
References
- Cohen, E.R.; Giacomo, P. Symbols, Units, Nomenclature and Fundamental Constants. 1987 Revision (2010 Reprint). Available online: https://iupap.org/wp-content/uploads/2014/05/A4.pdf (accessed on 10 January 2021).
- McGlashan, M.L. Manual of symbols and terminology for physicochemical quantities and units, 1st ed. Pure Appl. Chem. 1970, 21, 1–38. [Google Scholar] [CrossRef]
- Cohen, E.R.; Cvitaš, T.; Frey, J.G.; Holmström, B.; Kuchitsu, K.; Marquardt, R.; Mills, I.; Pavese, F.; Quack, M.; Stohner, J.; et al. Quantities, Units and Symbols in Physical Chemistry, Greenbook, 3rd ed.; IUPAC & RSC Publishing: Cambridge, UK, 2008. [Google Scholar]
- International Organization for Standardization. ISO 31Quantities and Units, ISO: Geneva, Switzerland, 1978.
- International Organization for Standardization. ISO 1000SI Units and Recommendations for the Use of Their Multiples and of Certain Other Units, ISO: Geneva, Switzerland, 1981.
- International Organization for Standardization (ISO); International Electrotechnical Commission (IEC). ISO 80000Quantities and Units, Parts 1–13, ISO: Geneva, Switzerland, 2008–2020.
- International Organization for Standardization. ISO/TC 12. IEC/CD 80000-15-17Standards Under Development, ISO: Geneva, Switzerland. Available online: https://www.iso.org/committee/46202/x/catalogue/p/1/u/1/w/0/d/0(accessed on 11 August 2021).
- International Organization for Standardization. ISO 14031Environmental management–Environmental Performance Evaluation–Guidelines, ISO: Geneva, Switzerland, 2013.
- Ullmann’s Encyclopaedia of Industrial Chemistry; Wiley-VCH Edited Verlag: Hoboken, NJ, USA, 2002.
- Green, D.W.; Perry, R.H. (Eds.) Perry’s Chemical Engineer’s Handbook, 8th ed.; McGraw-Hill: New York, NY, USA, 2008. [Google Scholar]
- Bureau International des Poids et Mesures (BIPM). The International System of Units (SI), 9th ed.; SI Brochure BIPM: Sèvres, France, 2019; pp. 115–216. [Google Scholar]
- Glavič, P. Review of the International Systems of Quantities and Units Usage. Standards 2021, 1, 2–16. [Google Scholar] [CrossRef]
- CODATA. The NIST Reference on Constants, Units, and Uncertainty. 2018. Available online: https://physics.nist.gov/cuu/Constants/index.html (accessed on 31 July 2021).
- Levenspiel, O. Chemical Reaction Engineering, 3rd ed.; Wiley: New York, NY, USA, 1999. [Google Scholar]
- Fitzer, E.; Fritz, W. Technische Chemie, 3rd ed.; Springer: Berlin/Heidelberg, Germany, 1989. [Google Scholar]
- Couper, J.R. Process Engineering Economics; Marcel Dekker: New York, NY, USA, 2003. [Google Scholar]
- Global Footprint Network (GFN). Ecological Footprint Standards. 2009. Available online: https://www.footprintnetwork.org/content/images/uploads/Ecological_Footprint_Standards_2009 (accessed on 4 August 2021).
- Vanham, D.; Leip, A.; Galli, A.; Kastner, T.; Bruckner, M.; Uwizeye, A.; van Dijk, K.; Ercin, E.; Dalin, C.; Brandão, M.; et al. Environmental footprint family to address local to planetary sustainability and deliver on the SDGs. Sci. Total Environ. 2019, 693, 133642. [Google Scholar] [CrossRef]
Name | Symbol | Definition | Unit | Remarks |
---|---|---|---|---|
Avogadro constant | NA, L | NA = N/n | mol−1 | 6.022 141 76 × 1023 |
Boltzmann constant | k, kB | J K−1 | 1.380 649 × 10−23 | |
Faraday constant | F | F = eNA | C mol−1 | 9.648 533 212 × 104 |
Henry’s law constant | kH | kH,B = (δfB/δxB)xB = 0 | Pa | |
Planck constant | h | h = E/f | J s | 6.626 070 15 × 10−34 |
Stefan-Boltzmann constant | σ | Me = σT4 | W m2 K−4 | 5.670 374 419 × 10−8 |
2nd virial coefficient 3rd virial coefficient | B C | pVm = RT (1 + B/Vm + C/Vm2 + …) | m3 mol−1 m6 mol−2 | pVm = RT (1 + Bp p + Cp p2 + …) |
Coefficient of mass transfer | kc | kc = jn/ΔcA | m s−1 | |
Specific surface area | s | S = A/m | m2 kg−1 | |
Logarithmic-mean temperature difference | ΔTlm | ΔTlm = (ΔT2 − ΔT1)/ln(ΔT2/ΔT1) | K | LMTD |
Name | Symbol | Definition | Unit | Remarks |
---|---|---|---|---|
Amount flow | jn | jn = cv | mol m−2 s−1 | |
Amount flow rate | qn | qn = ∫∫ jn⋅en dA | mol s−1 | en—normal vector |
(Fractional) conversion | XB | XB = (nB − nB0)/nB0 = 1 − cB/cB0 | 1 | dXB = dcB/cB0 |
Selectivity | σP | σP = dcP/(dcP + dcS) | 1 | |
-(Fractional) yield | φ Φ | φ = dcP/(−dcA) Φ = cPf/(cA0 − cAf) | 1 1 | Instantaneous Overall, f—final |
Rate of conversion | ω | ω = dξ/dt | mol s−1 | |
Specific rate of conversion | rm | rm = (1/m) (dni/dt) | mol kg−1 s−1 | |
Areic rate of conv. | rA | rA = (1/A) (dni/dt) | mol m−2 s−1 | |
Volumic rate of conversion | rV | rV = (1/V) (dni/dt) | mol m−3 s−1 | V—reactor volume |
Rate of reaction | rc rp | rc = (1/νP) (dci/dt) rp = (1/RT) (dpi/dt) | mol m−3 s−1 mol m−3 s−1 | For liquids For ideal gases |
Rate constant | k | r = kΠBcBmB | (m3/mol)m–1 s−1 | m—order of reaction |
Residence time distribution, RTD | E | 1 | Age distribution at reactor exit | |
Space-time | τ | τ = Vr/qV,F | s | F—feed |
Pace-velocity | s | s = 1/τ | s−1 | |
Recycle ratio | R | R = qV,r/qV,f | 1 | r—recycled, f—final |
Name | Symbol | Definition | Unit | Remarks |
---|---|---|---|---|
Amount flow | jn | jn = qn/A | mol m−2 s−1 | |
External reflux ratio | R | R = qn, N+1/qD | 1 | qN+1/VN = R/(1 + R) |
Vapor-liquid equilibrium ratio | Ki | Ki = xi/yi | 1 | |
Relative volatility | αij | αij = Ki/Kj | 1 | |
Fugacity coefficient | ϕi | ϕi = fi/p | 1 | ϕi = 1 for ideal gas |
Volume fraction of voids | φv | φv = Vv/Vtot | 1 | |
Efficiency of batch experiment | ηb | ηb = 1 − e−ktb | 1 | tb—batch mixing time |
Efficiency of a continuous process | ηc | ηc = kθ/(1 + kθ) | 1 | θ—total liquid residence time |
Name | Symbol | Definition | Unit | Remarks |
---|---|---|---|---|
Cost | C | EUR, USD, … | Cost index | |
Investment | I | €, $, … | Fixed capital | |
Interest rate | i | % | Vp—present value | |
Future value | Vf | Vf = Vp (1 + i)N | 1 (% = 10−2) | N—number of years |
Revenue, net sales | R, Sn | Sn = Sg − Os | €, $, … | Sg—gross sales |
Turnover ratio Capital ratio | rto rc | rto = Sg/I rc = I/Sg | 1 1 | Reciprocals |
Production rate | qm | qm = m/t | kg/s, t/a | Capacity dependent |
Operating expenses | O | O = Od + Oi | €, $, … | Direct + indirect expe. |
Depreciation | D | D = I/N | €/a, $/a, … | With no salvage value |
Gross income | Pg | Pg = R − O − D | €/a, $/a, … | Gross profit |
Net income | Pn | Pn = Pg (1 − τ) | €/a, $/a, … | Net profit, τ—tax rate |
Income tax | T | T = τ (R − O − D) | % | |
Net profit after tax | Pn | Pn = Pg (1 − τ) | €/a, $/a, … | Net income |
Cash flow rate | qc | qc = Pn + D | €/a, $/a, … | |
Return on investment | Roi | Roi = P/I × 100 | % | Internal rate of return |
Payout time | tpo | tpo = I/Pn | a | Payout period, years |
Name | Symbol | Definition | Unit | Remarks |
---|---|---|---|---|
Amount fraction of CO2 equivalent | x(CO2,eq) | μmol/mol | In atmosphere | |
Emissions coefficient of electricity | Ee(CO2,eq) | Ee = m/W | kg/(kW h) | Not factor |
Emission coefficient of travel | El | El = m/l | g/km | Various forms |
Carbon footprint per user | Fc | Fc = m/t | t/a | Per person, … |
Ecological footprint | Fe | Fe = Aeq | ha | |
Water footprint | Fw | Fw = V/t | m3/a | |
Amount fraction of air pollution | x(SO2) | x = nSO2/Σn | nmol/mol | |
Mass concentration of particulate matter pollutants, d ≤ (2.5, 10) μm | γPM2.5 γPM10 | γ = mPM/V | μg/m3 | In air |
Number concentration, e.g., microplastics | C | C = N/V | m−3 | In lake, ocean |
Mass concentration, heavy metal | γ(Hg) | γ = mHg/V | μg/L | In water |
Mass fraction, heavy metal | w(Pb) | w = mPb/Σm | mg/kg | In soil |
Waste generation per capita | qm | qm = m/t | kg/a | Mass flow rate |
Mass fraction of waste recycled | wr | wr= mr/mw | 1, % | Not recycling rate |
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. |
© 2022 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Share and Cite
Glavič, P. Quantities and Units in Chemical and Environmental Engineering. Standards 2022, 2, 43-51. https://doi.org/10.3390/standards2010004
Glavič P. Quantities and Units in Chemical and Environmental Engineering. Standards. 2022; 2(1):43-51. https://doi.org/10.3390/standards2010004
Chicago/Turabian StyleGlavič, Peter. 2022. "Quantities and Units in Chemical and Environmental Engineering" Standards 2, no. 1: 43-51. https://doi.org/10.3390/standards2010004
APA StyleGlavič, P. (2022). Quantities and Units in Chemical and Environmental Engineering. Standards, 2(1), 43-51. https://doi.org/10.3390/standards2010004