# ppm - parts per million

### 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/m3).

### 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 msolute in milligrams and the solution mass msolution in milligrams .

C(ppm) = 1000000 × msolute / (msolution + msolute)

Usually the solute mass msolute is much smaller than the solution mass msolution.

msolutemsolution

Then the concentration C in ppm is equal to 1000000 times the solute mass msolute in milligrams (mg) divided by the solution mass msolution in milligrams (mg):

C(ppm) = 1000000 × msolute (mg) / msolution (mg)

The concentration C in ppm is also equal to the solute mass msolute in milligrams (mg) divided by the solution mass msolution in kilograms (kg):

C(ppm) = msolute (mg) / msolution (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 msolute in milligrams (mg) divided by the water solution volume Vsolution in liters (l):

C(ppm) = msolute (mg) / Vsolution (l)

#### Concentration of CO2

The concentration of carbon dioxide (CO2) 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 Δf, divided by the frequency f is equal to the frequency stability

Δf(Hz) / f(Hz) = FS(ppm) / 1000000

##### Example

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

Δf(Hz) = ±200ppm × 32MHz / 1000000 = ±6.4kHz

So 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 Convert button:

 Enter decimal: Enter percent: % Enter permille: ‰ Enter ppm: ppm Enter ppb: ppb Enter ppt: ppt

### 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.

 Enter molar concentration (molarity): c(mol/L) = mol/L Enter solute molar mass: M(g/mol) = g/mol Enter milligrams per liter: C(mg/L) = mg/L Enter water temperature: T(ºC) = ºC Enter parts per million: C(mg/kg) = ppm

### 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 ppm to percent

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 percent to ppm

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

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/m3):

C(ppm) = C(mg/kg) = 1000 × C(mg/L) / ρ(kg/m3)

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/m3) and approximately equal to the concentration C in milligrams per liter (mg/L):

C(ppm) = 1000 × C(mg/L) / 998.2071(kg/m3) ≈ 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/m3):

C(ppm) = 1000 × C(g/kg) = 106 × C(g/L) / ρ(kg/m3)

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/m3) and approximately equal to 1000 times the concentration C in milligrams per liter (mg/L):

C(ppm) = 1000 × C(g/kg) = 106 × C(g/L) / 998.2071(kg/m3) ≈ 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/m3):

C(ppm) = C(mg/kg) = 106 × c(mol/L) × M(g/mol) / ρ(kg/m3)

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/m3):

C(ppm) = C(mg/kg) = 106 × c(mol/L) × M(g/mol) / 998.2071(kg/m3) ≈ 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:

Δf(Hz) = ± FS(ppm) × f(Hz) / 1000000

##### Example

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

Δf(Hz) = ±200ppm × 32MHz / 1000000 = ±6.4kHz

So 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 1×106 ppt
2 ppm 2×10-6 0.0002% 2000 ppb 2×106 ppt
3 ppm 3×10-6 0.0003% 3000 ppb 3×106 ppt
4 ppm 4×10-6 0.0004% 4000 ppb 4×106 ppt
5 ppm 5×10-6 0.0005% 5000 ppb 5×106 ppt
6 ppm 6×10-6 0.0006% 6000 ppb 6×106 ppt
7 ppm 7×10-6 0.0007% 7000 ppb 7×106 ppt
8 ppm 8×10-6 0.0008% 8000 ppb 8×106 ppt
9 ppm 9×10-6 0.0009% 9000 ppb 9×106 ppt
10 ppm 1×10-5 0.0010% 10000 ppb 1×107 ppt
20 ppm 2×10-5 0.0020% 20000 ppb 2×107 ppt
30 ppm 3×10-5 0.0030% 30000 ppb 3×107 ppt
40 ppm 4×10-5 0.0040% 40000 ppb 4×107 ppt
50 ppm 5×10-5 0.0050% 50000 ppb 5×107 ppt
60 ppm 6×10-5 0.0060% 60000 ppb 6×107 ppt
70 ppm 7×10-5 0.0070% 70000 ppb 7×107 ppt
80 ppm 8×10-5 0.0080% 80000 ppb 8×107 ppt
90 ppm 9×10-5 0.0090% 90000 ppb 9×107 ppt
100 ppm 1×10-4 0.0100% 100000 ppb 01×108 ppt
200 ppm 2×10-4 0.0200% 200000 ppb 2×108 ppt
300 ppm 3×10-4 0.0300% 300000 ppb 3×108 ppt
400 ppm 4×10-4 0.0400% 400000 ppb 4×108 ppt
500 ppm 5×10-4 0.0500% 500000 ppb 5×108 ppt
1000 ppm 0.001 0.1000% 1×106 ppb 1×109 ppt
10000 ppm 0.010 1.0000% 1×107 ppb 1×1010 ppt
100000 ppm 0.100 10.0000% 1×108 ppb 1×1011 ppt
1000000 ppm 1.000 100.0000% 1×109 ppb 1×1012 ppt