# 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 *m _{solute }*
in milligrams (mg) divided by the solution mass

*m*in milligrams (mg):

_{solution}*C*_{(ppm)} = 1000000 × *m _{solute}*

_{ (mg)}/

*m*

_{solution}_{ (mg) }

The concentration C in ppm is also equal to the solute mass *m _{solute }*
in milligrams (mg) divided by the solution mass

*m*in 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 *m _{solute }*
in milligrams (mg) divided by the water solution volume

*V*in 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 stability

Δ*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 = ±6.4kHz

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:

### 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 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/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 = ±6.4kHz

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 | 1×10^{6} ppt |

2 ppm | 2×10^{-6} |
0.0002% | 2000 ppb | 2×10^{6} ppt |

3 ppm | 3×10^{-6} |
0.0003% | 3000 ppb | 3×10^{6} ppt |

4 ppm | 4×10^{-6} |
0.0005% | 4000 ppb | 4×10^{6} ppt |

5 ppm | 5×10^{-6} |
0.0005% | 5000 ppb | 5×10^{6} ppt |

6 ppm | 6×10^{-6} |
0.0006% | 6000 ppb | 6×10^{6} ppt |

7 ppm | 7×10^{-6} |
0.0007% | 7000 ppb | 7×10^{6} ppt |

8 ppm | 8×10^{-6} |
0.0008% | 8000 ppb | 8×10^{6} ppt |

9 ppm | 9×10^{-6} |
0.0009% | 9000 ppb | 9×10^{6} ppt |

10 ppm | 1×10^{-5} |
0.0010% | 10000 ppb | 1×10^{7} ppt |

20 ppm | 2×10^{-5} |
0.0020% | 20000 ppb | 2×10^{7} ppt |

30 ppm | 3×10^{-5} |
0.0030% | 30000 ppb | 3×10^{7} ppt |

40 ppm | 4×10^{-5} |
0.0040% | 40000 ppb | 4×10^{7} ppt |

50 ppm | 5×10^{-5} |
0.0050% | 50000 ppb | 5×10^{7} ppt |

60 ppm | 6×10^{-5} |
0.0060% | 60000 ppb | 6×10^{7} ppt |

70 ppm | 7×10^{-5} |
0.0070% | 70000 ppb | 7×10^{7} ppt |

80 ppm | 8×10^{-5} |
0.0080% | 80000 ppb | 8×10^{7} ppt |

90 ppm | 9×10^{-5} |
0.0090% | 90000 ppb | 9×10^{7} ppt |

100 ppm | 1×10^{-4} |
0.0100% | 100000 ppb | 01×10^{8} ppt |

200 ppm | 2×10^{-4} |
0.0200% | 200000 ppb | 2×10^{8} ppt |

300 ppm | 3×10^{-4} |
0.0300% | 300000 ppb | 3×10^{8} ppt |

400 ppm | 4×10^{-4} |
0.0400% | 400000 ppb | 4×10^{8} ppt |

500 ppm | 5×10^{-4} |
0.0500% | 500000 ppb | 5×10^{8} ppt |

1000 ppm | 0.001 | 0.1000% | 1×10^{6} ppb |
1×10^{9} ppt |

10000 ppm | 0.010 | 1.0000% | 1×10^{7} ppb |
1×10^{10} ppt |

100000 ppm | 0.100 | 10.0000% | 1×10^{8} ppb |
1×10^{11} ppt |

1000000 ppm | 1.000 | 100.0000% | 1×10^{9} ppb |
1×10^{12} ppt |