W & WW Calculator





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Instant calculations for water and wastewater professionals, made by:

Plutocalc Water




This was developed in Europe and as a result all entries for U.S. will need to be made in inches, rather than feet. Results may also be in inches, rather than feet.

Conversions

Angle

Degrees
°
minutes
seconds
 
Decimal degrees
°
 
Radians
rad
π.rad

Area

Metric
mm²
cm²
km²
ha
 
US
in²
ft²
mi²

Density and concentration

Metric
mg/L
g/cm³
g/L
kg/m³
mg/mL
 
US
lb/in³
lb/ft³
lb/gal

Energy

Metric
J
Wh
kWh
cal
kcal
N.m
kgf.m
 
US
BTU (iso)
hp.h
lb/in
Eq. ton of Coal
Eq. ton of Oil

Flow - mass

Metric
kg/s
kg/min
kg/h
kg/day
 
US
lb/s
lb/min
lb/h
lb/day

Flow - volume

Metric
m³/s
m³/min
m³/h
m³/day
L/s
L/min
L/h
 
US
gal/s (gps)
gal/min (gpm)
gal/h (gph)
gal/day (gpd)
Mgal/day (mgd)
ft³/min (cfm)
ft³/s (cfs)

Flux and rates

Metric
L/m².h (LMH)
m³/m².day (m/day)
m³/m².h (m/h)
 
US
gal/ft².day (gfd)
gal/ft².h (gfh)
gal/ft².min (gfm)

Forces

Metric
N
kN
kgf
dyn
 
US
lbf
pdl

Hardness in water

mg/L CaCO3
meq/L
mmol/L
°dH
°e
°fH
gpg

Length

Metric
m
cm
mm
µm
nm
km
 
US
in
mil
ft
yd
mi

Mass

Metric
kg
g
mg
µg
metric ton
 
US
lb
oz
ton

Power

Metric
W (J/s)
kW
cal/s
kcal/h
kgf.m/s
 
US
hp
bhp
BTU/s

Pressure

Metric
bar
Pa
kPa
kg/cm² (kgf)
atm
mH2O
mmHg
 
US
psi
ftH2O
inHg

Speed

Metric
m/s
m/min
m/h (m³/m².h)
m/day (m³/m².day)
km/h
cm/h
cm/min
cm/s
 
US
in/h
in/min
in/s
ft/h (ft³/ft².h)
ft/min
ft/s
mi/h (mph)
mi/min (mpm)

Temperature

°C
°F
Kelvin

Time

Composite
days
hours
minutes
seconds
 
Decimal
days
hours
minutes

Volume

Metric
L
mL
µL
pL
 
US
gal
in³
ft³
fl oz

Volume Math

Cylinder volume

Diameter
mm in
Height
mm in
Volume
L ft³

Cone volume

Diameter
mm in
Height
mm in
Volume
L ft³

Cube volume

Sides length
mm in
mm in
mm in
Volume
L ft³

Circle properties

Diameter
mm in
Radius
mm in
Perimeter
mm in
Area
mm² in²
ft²

Horizontal cylindrical tank

Diameter
mm in
Water height
mm in
Length
mm in
Volume
L ft³

Triangle properties

Calculation modes
A1, A2, A3
S2, S3, A1
S3, A1, A2
Side dimensions
S1 mm in
S2 mm in
S3 mm in
Angles*
A1 ° rad
A2 ° rad
A3 ° rad
Perimeter
mm in
Area
mm² in²
ft²

*Angles are named according to the opposite side name (example: A1 refers to the side S1).


Nominal pipe sizes

Nominal pipe size / DN
Wall thickness designation
Equivalent thickness designations*

None

External diameter
mm in
Internal diameter
mm in
Internal area
mm² in²
Wall thickness
mm in

*Other designations with the same diameters and wall thickness.

Nominal Pipe Size dimensions from the ASME Standards B36.10M, ASME B36.19M and ISO 6708. Valid for Stainless Steel, Ductile Iron, PVC and CPVC pipes.


Rainfall volume

Catchment area
ft²
km² mi²
Precipitation
mm in
Volume
ft³

Sieve sizes

Standard US Number
Standard Tyler Mesh
Opening
mm in

Designations and sizes according to the ASTM-E11 (2015).


Wastewater

Surface loading rate - circular

Flow
m³/h gpm
Diameter
m ft
Rate
m³/m².h ft³/ft².h

Surface loading rate - rectangular

Flow
m³/h gpm
Sides length
m ft
m ft
Rate
m³/m².h ft³/ft².h

Hydraulic retention time - HRT

Flow
m³/h gpm
Reactor or clarifier volume
ft³
Hydraulic retention time - HRT
min h

Solids retention time - SRT

Plant flow
m³/h gpm
Waste sludge flow
m³/h gpm
Solids concentration in the reactor¹
mg/L lb/gal
Solids returning from the clarifier²
mg/L lb/gal
Solids in the clarified/product water
mg/L lb/gal
Reactor volume
ft³
Solids retention time³ (SRT)
h days

¹ For activated sludges this can be the MLVSS (Mixed liquor volatile suspended solids) concentration in the aeration tank.

² Solids in the recirculation return to the reactor. For activated sludges this is the concentration in the return activated sludge (RAS) or the concentration in the waste sludge.

³ Also known as Mean Cell Residence Time (MCRT).




Solids loading rate

Clarifier influent flow
m³/h gpm
Solids influent concentration¹
mg/L lb/gal
Clarifier cross-sectional area
ft²
Solids loading rate
kg/(m².h) lb/(ft².h)

¹ For activated sludges this can be the MLVSS (Mixed liquor volatile suspended solids) concentration from the aeration tank. For water treatment clarifiers this is usually the TSS.




Volumetric solids loading rate

Influent flow
m³/h gpm
Solids influent concentration¹
mg/L lb/gal
Clarifier/reactor volume
ft³
Volumetric solids loading rate
kg/(m³.day) lb/(ft³.day)

¹ For activated sludges this can be the MLVSS (Mixed liquor volatile suspended solids) load in the clarifier or the BOD load in the aeration tank. For anaerobic reactors this is usually the COD load.




Return activated sludge recycle - RAS

Plant flow
m³/h gpm
Recirculation sludge flow
m³/h gpm
Return activated sludge recycle ratio¹
%
Solids concentration in the reactor²
mg/L lb/gal
Solids returning from the clarifier³
mg/L lb/gal

¹ This ratio can be calculated either from the flows or from the solid concentrations.

² For activated sludges this can be the MLVSS (Mixed liquor volatile suspended solids) concentration in the aeration tank.

³ Solids in the recycle activated sludge (RAS) stream.




Discrete sedimentation

Particle diameter
mm in
Particle density
kg/m³ lb/ft³
Fluid density
kg/m³ lb/ft³
Kinematic viscosity
m²/s cSt
Sedimentation rate*
m/h ft/h
Reynolds

*Equation from Stokes law valid for round particles and laminar movement (Re lower than 1).




Sludge concentration and mass

Solids mass
kg lb
Solids density*
kg/m³ lb/ft³
Solids percentage
%w/w mg/L (ppm)
Sludge volume
gal

*Typical biological sludge has a solids density of 1550kg/m³, mineral sludge has a density of approx. 2600kg/m³.




Sludge age

Influent flow
m³/h gpm
Influent suspended solids¹
mg/L lb/gal
Suspended solids in the reactor²
mg/L lb/gal
Reactor volume³
ft³
Sludge age
h days

¹ This can be either the VSS (volatile suspended solids) or the TSS (total suspended solids).

² This can be either the MLVSS (mixed liquor volatile suspended solids) or the MLSS (mixed liquor suspended solids). If using MLVSS, the inlet concentration must be VSS.

³ For activated sludges, the reactor is the aeration tank.




Sludge Volume Index - SVI

Settled volume in 30min
mL/L
Total suspended solids
mg/L lb/gal
Sludge volume index (SVI)
mL/g

¹ This is also referred as the MLSS (mixed liquor suspended solids).




Food-to-microorganisms ratio - F/M

Influent flow
m³/h gpm
Influent BOD concentration
mg/L lb/gal
Mixed liquor suspended solids¹
mg/L lb/gal
Reactor volume
ft³
Food-to-microorganisms ratio (F/M)

¹ This can be either the MLVSS (mixed liquor volatile suspended solids) or the MLSS (mixed liquor suspended solids).




Energy and power

Head loss in pipes

Flow
m³/h gpm
Pipe roughness
mm in
Kinematic viscosity
m²/s
Length
m ft
Internal diameter
mm in
Head loss
m ft
Speed
m/s ft/s


Open channels or partially filled pipes

Section geometry
Bottom width
mm in
Side slope base width¹
mm in
Internal diameter
mm in
Water depth
mm in
Slope of the channel²
m/m or in/in %
Manning coefficient³
Kinematic viscosity
m²/s cSt
Flow
m³/h gpm
Average velocity
m/s ft/s
Reynolds
Froude
Kinetic energy
m ft
Specific energy
m ft
Hydraulic radius
mm in
Wetted perimeter
mm in


¹ Base of the right-angle triangle with the water depth as height and the inclined side slope as hypotenuse. The model considers both side slopes as identical.

² Inclination of the channel or the altitude loss per horizontal length.

³ Typical values from literature: 0.013 for concrete or cast iron, 0.03 for gravel and 0.01 for smooth plastic.

Orifice plates with incompressible fluids

Pressure reading taps¹
Pipe internal diameter
mm in
Orifice internal diameter
mm in
Fluid density
kg/m³ lb/ft³
Dynamic viscosity (µ)
Pa.s cP
Flow
m³/h gpm
Discharge coefficient
Pressure drop between taps
m ft
Overall headloss for the orifice plate
m ft

Calculations from the ISO 5167 (2003) and from the ASME MFC-14M (2001) valid for incompressible fluids, sharp edged orifice plates; orifice diameter >=12.5mm, 1m >; pipe diameter > 25mm, 0.75 >; orifice diameter/pipe diameter > 0.1

¹ Tap type and distances from the orifice plate, upstream and downstream. D stands for the pipe internal diameter.


Parshall flumes flow measurement

Standard throat width¹
Primary measurement head² (Ha)
mm in
Secondary measurement head³ (Hb)
mm in
Flow
m³/h gpm
Submergence ratio

¹ Standard sizes and discharge coefficients according to the ASTM D1941 (2013).

² Head measurement in the convergence section.

³ Head measurement in the throat section. Used only for submerged flow measurements, leave blank for free flow.

Free flow calculations according to the ASTM D1941 (2003). Submerged flow calculations according to the ISO 9826 (1992).


Rectangular flumes flow measurement

Measurement head¹ (h)
mm in
Approach channel width (B)
mm in
Throat width (b)
mm in
Throat length (L)
mm in
Bump height² (p)
mm in
Flow
m³/h gpm

Discharge coefficients and variable names according to the ISO 4359 (1983). Devices also known as Venturi flumes.

¹ According to the standard, the head is measured in the approach channel.

² Leave blank if the flume has a flat bottom (typical).


Pump power

Flow
m³/h gpm
Fluid density
kg/m³ lb/ft³
Head
m ft
Mechanic eff.
%
Electric eff.
%
Power
kW hp


Blowers and compressors power

Flow
Nm³/h ft³/min
Air density at NTP
kg/m³ lb/ft³
Intake pressure*
bar psi
Output pressure*
bar psi
Temperature
°C °F
Mechanic eff.
%
Electric eff.
%
Power
kW hp


*Absolute pressures. Use the default value (1.013 bar) for intakes at the atmosphere pressure.

Calculations from Metcalf and Eddy, Wastewater Engineering, 2003


Mixing velocity gradient

Reactor volume
ft³
Dynamic viscosity (µ)
Pa.s cP
Power
kW hp
Velocity gradient
1/s


Reynolds number and speed

Hydraulic diameter
mm in
Flow
m³/h gpm
Average speed
m/s ft/s
Fluid density
kg/m³ lb/ft³
Dynamic viscosity (µ)
Pa.s cP
Reynolds


Elements

Periodic table of elements

Element
Atomic number
Atomic weight
Group
Electron configuration

None

Oxidation states

None

Melting point
°C °F
Boiling point
°C °F
Density
kg/m³ lb/ft³
Ionization energy
eV


Ionic Balance, HCO3 and NH3 equilibrium

Cations mg/L CaCO3 meq/L
Aluminum Al3+
Barium Ba2+
Calcium Ca2+
Copper Cu2+
Hydrogen H+
Ferrous ion Fe2+
Ferric ion Fe3+
Magnesium Mg2+
Manganese Mn2+
Potassium K+
Sodium Na+
Strontium Sr2+
Anions mg/L CaCO3 meq/L
Chloride Cl-
Fluoride F-
Iodine I-
Hydroxide OH-
Nitrate NO3-
Phosphate (dibasic) PO43-
Phosphate (tribasic) HPO42-
Phosphate (mono) H2PO4-
Sulfate SO42-
Bisulfate HSO4-
Sulfite SO32-
Sulfide S2-
pH
Carbonates mg/L CaCO3 meq/L
Carbon dioxide CO2
Bicarbonate HCO3-
Carbonate CO32-
Alkalinity-P
Alkalinity-M
Ammonia mg/L CaCO3 meq/L
Total Ammonia
Ammonium NH4+
Ammonia NH3
Neutrals mg/L CaCO3 meq/L
Silica* SiO2

Balance
Sum cations meq/L
Sum anions meq/L
Sum anions+silica+CO2 meq/L
Conductivity @ 25°C (if balanced) µS/cm
Total Dissolved Solids (TDS) mg/L

*For ion exchange purposes SiO2 is considered weakly ionized as H2SiO3(silicic acid). SiO2 has MW=60 and is removed as monovalent SiO2-.

TOC, COD and KMnO4 relations

Chemical Oxygen Demand (COD)
mg/L O2
Organic Matter as Permanganate
mg/L KMnO4
Biological Oxygen Demand (BOD)
mg/L O2
Total Organic Carbon (TOC)
mg/L C

Rough organic matter conversions based on the empiric factors from DOW Water and Process Solutions Answer Center for natural waters.

Langlier Saturation Index - LSI

Temperature
°C °F
Calcium
mg/L CaCO3 mg/L Ca
Alkalinity
mg/L CaCO3 mg/L HCO3
Total Dissolved Solids
mg/L
pH
LSI

Calculations from Edstrom Industries, 1998, Scale Forming Tendency of Water MI-4170.


Modified Fouling Index - MFI

Temperature
°C °F
Pressure
bar psi
Active membrane diameter¹
mm in
Membrane area
ft²
Average flow during cake formation²
L/h gal/h
Inverse of the average flow during cake formation² (Δt/ΔV)
s/L s/gal
Filtrate volume during cake formation² (ΔV)
L gal
MFI
s/L²

Standard test conditions according to the ASTM D8002 (2015) for the MFI 0.45. The MFI will be normalized in case of different temperatures, areas or pressures from the standard test conditions.

¹ 47mm diameter membrane with 0.45µm mean pore size operating at 200±2KPa (2±0.02 bar). Active membrane diameter depends on the filter holder used.

² The cake formation is the linear segment of the (t/V) vs (V) graphic where t is the time in seconds and V is the filtrate volume in liters.




Silt Density Index - SDI

Time for the first 500mL
s min
Total elapsed time (T)*
s min
Time for the last 500mL
s min
SDIT
Maximum SDI for T

*Total time of 15 minutes is the default for RO/NF membranes warranty terms.




Solutions

Chemical dosing

Water flow
m³/h gpm
Chemical dosage*
mg/L (ppm) lb/ft³
Stock concentration
%w/w mg/L (ppm)
Stock density
kg/m³ (g/L) lb/ft³
Chemical flow - mass
kg/h lb/h
kg/day lb/day
Chemical flow - volume
L/h gph
L/day gpd

*Chemical dosage as if the product is 100% concentrated.


Chemical solutions density

Chemical solution

Concentration
%w/w mg/L (ppm)
Temperature
°C °F
Density
kg/m³ (g/L) lb/ft³


Properties interpolated from the tables provided by the chemical suppliers and from the Perry's Chemical Engineers Handbook.


Water properties

Temperature
°C °F
Density
kg/m³ lb/ft³
Dynamic Viscosity (µ)
Pa.s cP
Kinematic Viscosity (v)
m²/s cSt

Properties at the atmospheric pressure (100 KPa) in the liquid form. Equations from R.C. Weast, 1983, CRC Handbook of Chemistry and Physics, 64th edition and from the David R. Maidment, 2003 Handbook of Hydrology, McGraw-Hill.


Gases properties

Gas
Temperature
°C °F
Density
kg/m³ lb/ft³
Molecular weight

Properties at the atmospheric pressure (100 KPa). Equations from MWH, 2005, Water Treatment Principles and Design 2nd edition.


Oxygen solubility in water

Temperature
°C °F
Barometric pressure
atm mmHg
Salinity
%w/w mg/L (ppm)
Solubility
mg/L

Equations from Benson and Krause,1980 and 1984.


Blending

Stream 1
Flow1
%
Concentration2
 
Stream 2
Flow1
%
Concentration2
 
Stream 3
Flow1
%
Concentration2
 
Result mixture
Total flow
Concentration

1 Allows any unit of flow or volume (L/h, m³/h, gpm, m³, L, gal, etc...).

2 Allows any unit of concentration (mg/L, ppm, ppb, %, etc...) or temperatures.




Adsorption and Ion Exchange

Sorption/Exchange capacity

Flow
m³/h gpm
Inlet solids
mg/L
Outlet solids
mg/L
Media capacity*
mg/L
Media volume
L ft³
Run length
hours days
Run volume
gal
Contact time
BV/h min

*The media capacity is expressed as mg of solute per Liter of filter media. For ion exchange, the mg/L concentrations can be replaced by meq/L values.




Empty Bed Contact Time and BV/h

Flow
m³/h gpm
Media volume
L ft³
Contact time
BV/h* min

*Bed volumes per hour.




Ion Exchange regeneration

Media volume
L ft³
Water density
kg/m³ lb/ft³
Stock concentration
%w/w mg/L (ppm)
Stock density
kg/m³ (g/L) lb/ft³
Regenerant dosage*
g/Lresin lb/ft³resin
Diluted concentration
%w/w mg/L (ppm)
Contact time
min BV/h
Stock regenerant
L gal
kg lb
L/h gal/h
Diluted regenerant
L gal
kg lb
L/h gal/h
Dilution water
L gal
L/h gal/h

*Chemical dosage per liter of resin at 100% concentration.


Ion Exchange Softener design

Gross flow
m³/h gpm
Run length
h days
Run volume
gal
Feed water Hardness
mg/L CaCO3 meq/L
Feed water Sodium concentration
mg/L meq/L
Design temperature
°C °F
Desired safety factor¹
Regeneration level
g/Lresin
NaCl injection concentration
%
 
Resin type²

Not defined

 
Resin volume
L ft³
Column internal diameter
mm in
Column cylindrical height
mm in
Resin height
mm in
 
Pressure drop at design temperature
bar psi
Final safety factor from column design¹
Contact time
min BV/h
Hardness leakage
mg/L CaCO3 meq/L
NaCl @ 100% for regeneration
kg lb
Diluted NaCl volume for regeneration
L gal
Water consumption for regeneration
gal
Overall regeneration duration
min h
 
Regeneration step 1 - backwash³
m³/h gpm
min h
Regeneration step 2 - NaCl injection³
m³/h gpm
min h
Regeneration step 3 - displacement³
m³/h gpm
min h
Regeneration step 4 - fast rinse³
m³/h gpm
min h

Design based in the Ion Exchange resins engineering manuals.

¹ Safety factor over the calculated resin volume. The final safety factor might be higher because the model rounds up the resin volume. Typical: 1.05 to 1.15.

² Suggested resins: Amberlite™ IR120, Amberjet™ 1200, DOWEX™ Marathon™ C or DOWEX™ HCR-S.

³ Backwash in upflow direction. Operation, injection, displacement and rinse in downflow direction.


Filters and membranes

Cylindrical filter rate and speed

Flow
m³/h gpm
Diameter
mm in
Rate
m/h ft/h

Membranes flux

Gross permeate flow
m³/h gpm
Element area
ft²
Element quantity
elements
Total area
ft²
Flux
L/m².h gfd

Recovery

Feed flow
m³/h gpm
Net product flow
m³/h gpm
Concentrate flow
m³/h gpm
Recovery
%
Concentration factor

Recovery for membranes in series

Average individual element recovery
%
Elements in series
Total system recovery
%

Normalized permeability

Current flux
L/m².h gfd
Net driving pressure
bar psi
Current temperature*
°C °F
Reference temperature*
°C °F
Normalized permeability
lmh/bar gfd/psi

*If "current temperature" = "reference temperature", calculates without normalization.




Granular media head loss

Media type¹
Filtration rate/velocity
m/h ft/h
Media height
mm in
Dynamic viscosity (µ)
Pa.s cP
Fluid density
kg/m³ lb/ft³
Mean particle effective size
mm in
Porosity
%
Ergun coefficients
Kv Ki
Head loss
m in

¹ Input values for particle sizes, porosity and Ergun coefficients.

Equations from MWH, 2005, Water Treatment Principles and Design 2nd edition.




Granular media backwash expansion

Media type¹
Media height
mm in
Desired expansion
%
Final height
mm in
Dynamic viscosity (µ)
Pa.s cP
Fluid density
kg/m³ lb/ft³
Particle density
kg/m³ lb/ft³
Mean particle effective size
mm in
Settled bed porosity
%
Ergun coefficients
Kv Ki
Backwash rate/velocity
m/h ft/h

¹ Input values for particle sizes, porosity and Ergun coefficients.

Equations from MWH, 2005, Water Treatment Principles and Design 2nd edition based in the Akgiray and Saatçi, 2001 models.




Reactions

Disinfection

Disinfectant

Temperature
°C °F
Log removal
log %
CT
min.mg/L
Dosage*
mg/L (ppm) %w/w
Contact time*
min h


CT stands for Concentration vs Time and is defined by the EPA Interim Enhanced Surface Water Treatment Rule (IESWTR). CT Values interpolated from the EPA Disinfection Profiling and Benchmarking Guidance Manual Appendix C, 1999. *Not required for the CT calculation.


Disinfection with Chlorine for Giardia Cysts

pH
Free chlorine
mg/L (ppm) %w/w
Temperature
°C °F
Log removal
log %
CT
min.mg/L
Contact time
min h


CT stands for Concentration vs Time and is defined by the EPA Interim Enhanced Surface Water Treatment Rule (IESWTR). CT Values calculated using the regression method according to the EPA Profiling and Benchmarking Guidance Manual Appendix E, 1999.


Iron oxidation and precipitation

Oxidant
Process flow
m³/h gpm
Fe2+ concentration
mg/L
Oxidant dosage (as 100%)*
mg/L
kg/h lb/h
kg/day lb/day
Alkalinity consumed
mg/L
kg/h lb/h
kg/day lb/day
Dry sludge production
kg/h lb/h
kg/day lb/day

*Stoichiometric values, no safety factors. Equations from ASCE/AWWA Water Treatment Plant Design, 3rd edition, 2003.


Manganese oxidation and precipitation

Oxidant
Process flow
m³/h gpm
Mn2+ concentration
mg/L
Oxidant dosage (as 100%)*
mg/L
kg/h lb/h
kg/day lb/day
Alkalinity consumed
mg/L
kg/h lb/h
kg/day lb/day
Dry sludge production
kg/h lb/h
kg/day lb/day

*Stoichiometric values, no safety factors. Equations from ASCE/AWWA Water Treatment Plant Design, 3rd edition, 2003.


Sludge from chemicals

Process flow
m³/h gpm
Chemical dosage
Aluminium Sulfate mg/L
Ferric Sulfate mg/L
Ferric Chloride mg/L
PAC mg/L %Al
Polymer mg/L
Turbidity removed
NTU
Dry sludge production*
kg/h lb/h
kg/day lb/day

*Average values from real plant data. Equations from MWH, 2005, Water Treatment Principles and Design 2nd edition.


Ultimate BOD

BOD at the time t¹
mg/L
Ultimate BOD
mg/L
Time²
days
Deoxygenation rate constant
1/day

¹ Usually the BOD5, measured in the lab.

² 5 days if using the BOD5.




Finance

Ordinary annuity

Present value
Future value
Interest rate
% per period
Number of payments
Payment value

Ordinary annuity: Payments are required at the end of each period, compound interests.



Annuity due

Present value
Future value
Interest rate
% per period
Number of payments
Payment value

Annuity due: Payments are required at the beginning of each period, compound interests.



Compound annual growth rate - CAGR

Beginning value
End value
Number of periods
Compound annual growth
% per year


Interest rate conversions

Interest rate
% year
% month
% day


Simple interest

Principal
Interest rate
% per period
Number of periods
Simple interest
Total value


Help and product information

Help

Operation: Fill the blank fields until the results appear. Use the dot "." as the primary decimal separator.

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License

Creative Commons License
Plutocalc by Daniel Brooke Peig is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
The calculation results can be used for any purpose, including commercial projects, for free.

Disclaimer

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS, THE SPONSORS OR THE COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.