## ppm - parts per million

- What is ppm?
- Parts-per notations
- Chemical concentration
- Frequency stability
- Decimal, percent, permille, ppm, ppb, ppt conversion calculator
- mg per liter to ppm conversion calculator
- ppm conversions

- How to convert ppm to decimal fraction
- How to convert decimal fraction to ppm
- How to convert percent to ppm
- How to convert ppm to percent
- How to convert ppb to ppm
- How to convert ppm to ppb
- How to convert milligrams/liter to ppm
- How to convert grams/liter to ppm
- How to convert moles/liter to ppm
- How to convert ppm to Hz
- ppm to percent, ppb, ppt, ratio conversion table
## What is ppm?

ppm is an abbreviation of parts per million. ppm is a value that represents the part of a whole number in units of 1/1000000.

ppm is dimensionless quantity, a ratio of 2 quantities of the same unit. For example: mg/kg.

One ppm is equal to 1/1000000 of the whole:

1ppm = 1/1000000 = 0.000001 = 1×10

^{-6}

One ppm is equal to 0.0001%:

1ppm = 0.0001%

## ppmw

ppmw is an abbreviation of parts per million weight, a subunit of ppm that is used for part of weights like milligrams per kilogram (mg/kg).

## ppmv

ppmv is an abbreviation of parts per million volume, a subunit of ppm that is used for part of volumes like milliliters per cubic meter (ml/m

^{3}).## Parts-per notations

Other part-per notations are written here:

Name Notation Coefficient Percent % 10 ^{-2}Per-mille ‰ 10 ^{-3}Parts per million ppm 10 ^{-6}Parts per billion ppb 10 ^{-9}Parts per trillion ppt 10 ^{-12}## Chemical concentration

ppm is used to measure chemical concentration, usually in a solution of water.

Solute concentration of 1 ppm is solute concentration of 1/1000000 of the solution.

The concentration C

_{ }in ppm is calculated from the solute mass m_{solute }in milligrams and the solution mass m_{solution }in milligrams .

C_{(ppm)}= 1000000 ×m/ (_{solute}m)_{solution}+ m_{solute}

Usually the solute mass m

_{solute }is much smaller than the solution mass m_{solution}.

m≪_{solute}m_{solution}

Then the concentration C in ppm is equal to 1000000 times the solute mass

min milligrams (mg) divided by the solution mass_{solute }min milligrams (mg):_{solution}

C_{(ppm)}= 1000000 ×m_{solute}_{ (mg)}/m_{solution}_{ (mg) }

The concentration C in ppm is also equal to the solute mass

min milligrams (mg) divided by the solution mass_{solute }min kilograms (kg):_{solution}

C_{(ppm)}=m_{solute}_{ (mg)}/m_{solution}_{ (kg)}

When the solution is water, the volume of mass of one kilogram is approximately one liter.

The concentration C in ppm is also equal to the solute mass

min milligrams (mg) divided by the water solution volume_{solute }Vin liters (l):_{solution}

C_{(ppm)}=m_{solute}_{ (mg)}/V_{solution}_{ (l)}

## Concentration of CO

_{2}The concentration of carbon dioxide (CO

_{2}) in the atmosphere is about 388ppm.## Frequency stability

The frequency stability of an electronic oscillator component can be measured in ppm.

The maximal frequency variation Δ

f, divided by the frequency f is equal to the frequency stabilityΔ

f_{(Hz)}/f_{(Hz)}=FS_{(ppm) }/ 1000000

## Example

Oscillator with frequency of 32MHz and accuracy of ±200ppm, has frequency accuracy of

Δ

f_{(Hz)}= ±200ppm × 32MHz / 1000000 = ±6.4kHzSo the oscillator produces clock signal within the range of 32MHz±6.4kHz.

The supplied frequency variation is caused from temperature change, aging, supply voltage and load changes.

## Decimal, percent, permille, ppm, ppb, ppt conversion calculator

Enter proportion part in one of the text boxes and press the

Convertbutton:## Moles per liter (mol/L) to milligarms per liter (mg/L) to ppm conversion calculator

Water solution, molar concentration (molarity) to milligrams per liter to parts per million (ppm) converter.

## PPM conversions

## How to convert ppm to decimal fraction

The part P in decimal is equal to the part P in ppm divided by 1000000:

P_{(decimal) }=_{ }P_{(ppm)}/ 1000000## Example

Find the decimal fraction of 300ppm:

P_{(decimal)}= 300ppm / 1000000 = 0.0003## How to convert decimal fraction to ppm

The part P in ppm is equal to the part P in decimal times 1000000:

P_{(ppm)}=P_{(decimal)}× 1000000## Example

Find how many ppm are in 0.0034:

P_{(ppm)}= 0.0034 × 1000000 = 3400ppm## How to convert percent to ppm

The part P in percent (%) is equal to the part P in ppm divided by 10000:

P_{(%)}=P_{(ppm)}/ 10000## Example

Find how many percent are in 6ppm:

P_{(%)}= 6ppm / 10000 = 0.0006%## How to convert ppm to percent

The part P in ppm is equal to the part P in percent (%) times 10000:0

P_{(ppm)}=P_{(%)}× 10000## Example

Find how many ppm are in 6%:

P_{(ppm)}= 6% × 10000 = 60000ppm## How to convert ppb to ppm

The part P in ppm is equal to the part P in ppb divided by 1000:

P_{(ppm)}=P_{(ppb)}/ 1000## Example

Find how many ppm are in 6ppb:

P_{(ppm)}= 6ppb / 1000 = 0.006ppm## How to convert ppm to ppb

The part P in ppb is equal to the part P in ppm times 1000:

P_{(ppb)}=P_{(ppm)}× 1000## Example

Find how many ppb are in 6ppm:

P_{(ppb)}= 6ppm × 1000 = 6000ppb## How to convert milligrams/liter to ppm

The concentration C in parts-per million (ppm) is equal to the concentration C in milligrams per kilogram (mg/kg) and equal to 1000 times the concentration C in milligrams per liter (mg/L), divided by the solution density ρ in kilograms per cubic meter (kg/m

^{3}):

C_{(ppm)}=C_{(mg/kg)}= 1000 ×C_{(mg/L)}/ ρ_{(kg/m}3_{)}In water solution, the concentration C in parts-per million (ppm) is equal to 1000 times the concentration C in milligrams per liter (mg/L) divided by the water solution density at temperature of 20ºC, 998.2071 in kilograms per cubic meter (kg/m

^{3}) and approximately equal to the concentration C in milligrams per liter (mg/L):

C_{(ppm)}= 1000 ×C_{(mg/L) }/ 998.2071_{(kg/m}3_{) }≈ 1_{(L/kg)}×C_{(mg/L)}## How to convert grams/liter to ppm

The concentration C in parts-per million (ppm) is equal to 1000 times the concentration C in grams per kilogram (g/kg) and equal to 1000000 times the concentration C in grams per liter (g/L), divided by the solution density ρ in kilograms per cubic meter (kg/m

^{3}):

C_{(ppm)}= 1000 ×C_{(g/kg)}= 10^{6}×C_{(g/L)}/ ρ_{(kg/m}3_{)}In water solution, the concentration C in parts-per million (ppm) is equal to 1000 times the concentration C in grams per kilogram (g/kg) and equal to 1000000 times the concentration C in grams per liter (g/L), divided by the water solution density at temperature of 20ºC 998.2071 in kilograms per cubic meter (kg/m

^{3}) and approximately equal to 1000 times the concentration C in milligrams per liter (mg/L):

C_{(ppm)}= 1000 ×C_{(g/kg)}= 10^{6}×C_{(g/L) }/ 998.2071_{(kg/m}3_{)}≈ 1000 ×C_{(g/L)}## How to convert moles/liter to ppm

The concentration C in parts-per million (ppm) is equal to the concentration C in milligrams per kilogram (mg/kg) and equal to 1000000 times the molar concentration (molarity) c in moles per liter (mol/L), times the solute molar mass in grams per mole (g/mol), divided by the solution density ρ in kilograms per cubic meter (kg/m

^{3}):

C_{(ppm)}=C_{(mg/kg)}= 10^{6}×c_{(mol/L)}×M_{(g/mol)}/ ρ_{(kg/m}3_{)}In water solution, the concentration C in parts-per million (ppm) is equal to the concentration C in milligrams per kilogram (mg/kg) and equal to 1000000 times the molar concentration (molarity) c in moles per liter (mol/L), times the solute molar mass in grams per mole (g/mol), divided by the water solution density at temperature of 20ºC 998.2071 in kilograms per cubic meter (kg/m

^{3}):

C_{(ppm)}=C_{(mg/kg)}= 10^{6}×c_{(mol/L)}×M_{(g/mol)}/ 998.2071_{(kg/m}3_{)}≈ 1000 ×c_{(mol/L)}×M_{(g/mol)}## How to convert ppm to Hz

The frequency variation in hertz (Hz) is equal to the frequency stability FS in ppm times the frequency in hertz (Hz) divided by 1000000:

Δ

f_{(Hz)}=± FS_{(ppm)}×f_{(Hz)}/ 1000000_{ }## Example

Oscillator with frequency of 32MHz and accuracy of ±200ppm, has frequency accu0racy of

Δ

f_{(Hz)}= ±200ppm × 32MHz / 1000000 = ±6.4kHzSo the oscillator produces clock signal within the range of 32MHz±6.4kHz.

## ppm to ratio, percent, ppb, ppt conversion table

Parts-per million (ppm) Coefficient / Ratio Percent (%) Parts per billion (ppb) Parts per trillion (ppt) 1 ppm 1×10 ^{-6}0.0001% 1000 ppb 1×10 ^{6}ppt2 ppm 2×10 ^{-6}0.0002% 2000 ppb 2×10 ^{6}ppt3 ppm 3×10 ^{-6}0.0003% 3000 ppb 3×10 ^{6}ppt4 ppm 4×10 ^{-6}0.0005% 4000 ppb 4×10 ^{6}ppt5 ppm 5×10 ^{-6}0.0005% 5000 ppb 5×10 ^{6}ppt6 ppm 6×10 ^{-6}0.0006% 6000 ppb 6×10 ^{6}ppt7 ppm 7×10 ^{-6}0.0007% 7000 ppb 7×10 ^{6}ppt8 ppm 8×10 ^{-6}0.0008% 8000 ppb 8×10 ^{6}ppt9 ppm 9×10 ^{-6}0.0009% 9000 ppb 9×10 ^{6}ppt10 ppm 1×10 ^{-5}0.0010% 10000 ppb 1×10 ^{7}ppt20 ppm 2×10 ^{-5}0.0020% 20000 ppb 2×10 ^{7}ppt30 ppm 3×10 ^{-5}0.0030% 30000 ppb 3×10 ^{7}ppt40 ppm 4×10 ^{-5}0.0040% 40000 ppb 4×10 ^{7}ppt50 ppm 5×10 ^{-5}0.0050% 50000 ppb 5×10 ^{7}ppt60 ppm 6×10 ^{-5}0.0060% 60000 ppb 6×10 ^{7}ppt70 ppm 7×10 ^{-5}0.0070% 70000 ppb 7×10 ^{7}ppt80 ppm 8×10 ^{-5}0.0080% 80000 ppb 8×10 ^{7}ppt90 ppm 9×10 ^{-5}0.0090% 90000 ppb 9×10 ^{7}ppt100 ppm 1×10 ^{-4}0.0100% 100000 ppb 01×10 ^{8}ppt200 ppm 2×10 ^{-4}0.0200% 200000 ppb 2×10 ^{8}ppt300 ppm 3×10 ^{-4}0.0300% 300000 ppb 3×10 ^{8}ppt400 ppm 4×10 ^{-4}0.0400% 400000 ppb 4×10 ^{8}ppt500 ppm 5×10 ^{-4}0.0500% 500000 ppb 5×10 ^{8}ppt1000 ppm 0.001 0.1000% 1×10 ^{6}ppb1×10 ^{9}ppt10000 ppm 0.010 1.0000% 1×10 ^{7}ppb1×10 ^{10}ppt100000 ppm 0.100 10.0000% 1×10 ^{8}ppb1×10 ^{11}ppt1000000 ppm 1.000 100.0000% 1×10 ^{9}ppb1×10 ^{12}ppt

## See also