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Chemical engineering basics: 50 core concepts

The first ideas in chemical engineering: mass balances, stoichiometry, conversion and yield, gas laws, pressure and units, and the main process equipment.

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What do chemical engineers do?

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  1. 1
    What do chemical engineers do?
    Design, build, run and improve processes that turn raw materials into useful products on an industrial scale, safely and economically
    Fuels, plastics, medicines, fertilizers, food and clean water all come from such processes.
  2. 2
    Unit operation
    A basic physical step that appears in many processes, such as distillation, filtration, heat exchange, drying or mixing
    The idea lets engineers study each step once and reuse it across very different industries.
  3. 3
    Block flow diagram
    The simplest process diagram: boxes for the main process steps, joined by arrows for the main streams
  4. 4
    Process flow diagram (PFD)
    Shows the major equipment and main process streams, usually with flow rates, compositions, temperatures and pressures
    It leaves out most piping details, small valves and instruments.
  5. 5
    Piping and instrumentation diagram (P&ID)
    A detailed drawing of all the equipment, piping, valves, instruments and control loops in a plant section
    Used for construction, operation, maintenance and safety reviews.
  6. 6
    Pilot plant
    A small-scale version of a process, built to test it and collect design data before a full-size plant is built
  7. 7
    Batch process
    The feed is charged into a vessel, processed, and removed some time later; nothing flows in or out in between
    Suits small volumes and many products, such as pharmaceuticals and specialty chemicals.
  8. 8
    Continuous process
    Feed and product streams flow in and out the whole time the process runs
    Suits large volumes, such as oil refining and ammonia production. Usually run at steady state.
  9. 9
    Semibatch process
    Neither batch nor continuous: material enters or leaves while the process runs, such as a tank slowly fed a reactant with nothing withdrawn
  10. 10
    Steady state
    No process variable (flow, temperature, pressure, composition) changes with time, so nothing accumulates
    Startup, shutdown and upsets are transient, or unsteady-state, operation.
  11. 11
    General balance equation
    input−output+generation−consumption=accumulation\text{input} - \text{output} + \text{generation} - \text{consumption} = \text{accumulation}
    Generation and consumption apply only to species formed or used up by reactions; total mass is neither generated nor consumed.
  12. 12
    Mass balance at steady state with no reaction
    Input = output, for total mass and for each component
  13. 13
    Are total mass and total moles conserved in a chemical reaction?
    Total mass is; total moles are not necessarily
    N2+3H2→2NH3\mathrm{N_2 + 3H_2 \rightarrow 2NH_3} turns 4 mol into 2 mol, but the mass is unchanged.
  14. 14
    Basis of calculation
    An amount or flow rate of one stream, such as 100 mol of feed, chosen so the balance can be solved; results are scaled afterwards
    With a feed composition in mole fractions, 100 mol is convenient; with mass fractions, 100 kg.
  15. 15
    Degrees of freedom of a balance problem
    Unknowns minus independent equations; the problem can be solved only when this is zero
    A positive number means more information is needed; a negative number means the problem is overspecified.
  16. 16
    Stoichiometric coefficients
    The numbers in a balanced equation that give the mole ratios in which species react and form
    In 2SO2+O2→2SO3\mathrm{2SO_2 + O_2 \rightarrow 2SO_3}, 2 mol of SO2\mathrm{SO_2} react with 1 mol of O2\mathrm{O_2}.
  17. 17
    Limiting reactant
    The reactant present in less than its stoichiometric proportion; it would run out first, so it sets the maximum amount of product
  18. 18
    Percent excess of a reactant
    nfed−nstoichnstoich×100%\dfrac{n_{\text{fed}} - n_{\text{stoich}}}{n_{\text{stoich}}} \times 100\%
    nstoichn_{\text{stoich}} is the amount needed to react completely with the limiting reactant.
  19. 19
    Fractional conversion
    X=moles of reactant that reactmoles of reactant fedX = \dfrac{\text{moles of reactant that react}}{\text{moles of reactant fed}}
    Usually based on the limiting reactant; it runs from 0 to 1.
  20. 20
    Extent of reaction
    ξ\xi in ni=ni0+νiξn_i = n_{i0} + \nu_i \xi: one number that tracks the progress of a reaction for every species
    νi\nu_i is the stoichiometric coefficient, negative for reactants and positive for products.
  21. 21
    Yield of a reaction
    Moles of desired product formed divided by the moles that would form if the limiting reactant reacted completely with no side reactions
    Definitions vary: some books divide by the moles of reactant fed or consumed instead.
  22. 22
    Selectivity
    Moles of desired product formed per mole of undesired product formed
    Side reactions lower it. Some books define it per mole of reactant consumed instead.
  23. 23
    Composition of dry air
    About 21 mol% O2\mathrm{O_2} and 79 mol% N2\mathrm{N_2}
    So each mole of O2\mathrm{O_2} brings about 3.76 mol3.76\ \mathrm{mol} of N2\mathrm{N_2} (79/21)(79/21).
  24. 24
    Theoretical air
    Air containing just enough oxygen to burn all the fuel completely, with all carbon going to CO2\mathrm{CO_2} and all hydrogen to H2O\mathrm{H_2O}
    Air fed beyond this is excess air: 20% excess air means 1.2 times the theoretical amount.
  25. 25
    Wet basis vs dry basis
    A gas composition on a wet basis includes water vapor; on a dry basis it leaves the water out
    Flue gas analyzers such as the Orsat report a dry-basis composition.
  26. 26
    Mole fraction
    xi=nintotalx_i = \dfrac{n_i}{n_{\text{total}}}
    Mole fractions in a mixture sum to 1. By convention xx is used for liquids and yy for gases.
  27. 27
    Mass fraction
    wi=mimtotalw_i = \dfrac{m_i}{m_{\text{total}}}
    Mass and mole fractions differ unless all the components have the same molar mass.
  28. 28
    Average molar mass of a gas mixture
    Mˉ=∑iyiMi\bar{M} = \displaystyle\sum_i y_i M_i
    For air, about 29 g/mol29\ \mathrm{g/mol}.
  29. 29
    Molar flow rate from mass flow rate
    n˙=m˙M\dot{n} = \dfrac{\dot{m}}{M}
    MM is the molar mass, so 36 kg/h36\ \mathrm{kg/h} of water is about 2 kmol/h2\ \mathrm{kmol/h}.
  30. 30
    Density of liquid water
    About 1000 kg/m31000\ \mathrm{kg/m^3}, or 1 g/cm31\ \mathrm{g/cm^3}, or 62.4 lbm/ft362.4\ \mathrm{lb_m/ft^3}
    Density links mass and volumetric flow: m˙=ρV˙\dot{m} = \rho\dot{V}.
  31. 31
    Specific gravity
    SG=ρρrefSG = \dfrac{\rho}{\rho_{\text{ref}}}, usually with liquid water at 4 °C as the reference
    It is dimensionless, so a liquid with SG 0.8 has a density of about 800 kg/m³.
  32. 32
    Parts per million (ppm)
    A fraction multiplied by 10610^6, used for trace amounts
    For gases it is normally by moles (volume); for liquids, by mass.
  33. 33
    Ideal gas law for a flowing stream
    PV˙=n˙RTP\dot{V} = \dot{n}RT
    Use absolute pressure and absolute temperature. It works best at low pressure and high temperature.
  34. 34
    Gas constant R in L·atm units
    R=0.08206 L atm mol−1 K−1R = 0.08206\ \mathrm{L\,atm\,mol^{-1}\,K^{-1}}
    The same as 8.314 J mol−1 K−18.314\ \mathrm{J\,mol^{-1}\,K^{-1}}.
  35. 35
    Molar volume of an ideal gas at 0 °C and 1 atm
    22.4 L/mol22.4\ \mathrm{L/mol}, or 22.4 m3/kmol22.4\ \mathrm{m^3/kmol}
    Also 359 ft³ per lb-mol. At 0 °C and 1 bar it is 22.7 L/mol.
  36. 36
    Gauge vs absolute pressure
    Pabs=Pgauge+PatmP_{\text{abs}} = P_{\text{gauge}} + P_{\text{atm}}
    Gauges read relative to the atmosphere, but gas laws need absolute pressure. Units such as psig and psia say which is meant.
  37. 37
    One standard atmosphere in other units
    101.325 kPa=1.01325 bar=14.696 psi=760 mmHg101.325\ \mathrm{kPa} = 1.01325\ \mathrm{bar} = 14.696\ \mathrm{psi} = 760\ \mathrm{mmHg}
  38. 38
    Absolute temperature scales
    T(K)=T(∘C)+273.15T(\mathrm{K}) = T({}^\circ\mathrm{C}) + 273.15 and T(∘R)=T(∘F)+459.67T({}^\circ\mathrm{R}) = T({}^\circ\mathrm{F}) + 459.67
    A temperature change of 1 K (or 1 °C) equals 1.8 °F (or 1.8 °R).
  39. 39
    Pound-mole
    The amount of a substance whose mass in pounds equals its molar mass: about 453.6 mol453.6\ \mathrm{mol}
    So 1 lb-mol of water has a mass of about 18 lbm18\ \mathrm{lb_m}.
  40. 40
    Pound-force in terms of pound-mass
    1 lbf=32.174 lbm ft/s21\ \mathrm{lb_f} = 32.174\ \mathrm{lb_m\,ft/s^2}
    The factor gc=32.174 lbm ft lbf−1 s−2g_c = 32.174\ \mathrm{lb_m\,ft\,lb_f^{-1}\,s^{-2}} appears in equations written in US customary units.
  41. 41
    Dimensional homogeneity
    Every term added or subtracted in a valid equation must have the same dimensions
    A quick check for errors in derived formulas and unit conversions.
  42. 42
    Pump vs compressor
    A pump raises the pressure of a liquid; a compressor raises the pressure of a gas
    Fans and blowers move gases with only a small pressure rise.
  43. 43
    Shell-and-tube heat exchanger
    One fluid flows through a bundle of tubes and the other around them inside a shell; heat passes through the tube walls
  44. 44
    Countercurrent vs cocurrent flow in a heat exchanger
    Countercurrent: the fluids flow in opposite directions. Cocurrent (parallel): the same direction. Countercurrent transfers more heat for the same area
    Only countercurrent flow lets the cold fluid leave hotter than the hot fluid leaves.
  45. 45
    Distillation column
    Separates a liquid mixture by differences in volatility: the more volatile components concentrate in the vapor rising to the top
    The top product is the distillate; the bottom product is the bottoms.
  46. 46
    Reboiler and condenser
    The reboiler boils liquid at the bottom of a distillation column to make the rising vapor; the condenser liquefies the vapor at the top, and part of it returns as reflux
  47. 47
    Flash drum
    A vessel where a feed partly vaporizes, often after a pressure drop, and the vapor and liquid are separated
    With the two phases at equilibrium, it acts as a single equilibrium stage.
  48. 48
    Decanter
    A vessel that separates two immiscible liquids, such as oil and water, by letting them settle into layers by density
  49. 49
    Three ideal reactor types
    Batch reactor, continuous stirred-tank reactor (CSTR) and plug flow reactor (PFR)
    A CSTR is perfectly mixed, so its outlet matches its contents; a PFR has no mixing along the flow direction.
  50. 50
    Utilities
    Services a plant needs to run, such as steam, cooling water, electricity, fuel, compressed air and refrigeration

Frequently asked questions

What background do I need for this deck?

High school chemistry and algebra are enough. It matches an introduction to chemical engineering or the first half of a material and energy balances course.

What is the difference between a PFD and a P&ID?

A process flow diagram shows the main equipment and streams with their operating conditions. A piping and instrumentation diagram adds every pipe, valve, instrument and control loop, and is used to build and run the plant.

What comes after this deck?

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