This ppm to molarity calculator is used for facilitating the conversion between two common concentration units: parts per million (ppm) and molarity (M).

  • A water quality analyst uses the calculator to convert 50 ppm of chlorine to its equivalent molarity.
  • A pharmaceutical researcher converts 100 ppm of a drug compound to molarity for precise dosage calculations.

PPM to Molarity Calculator

CompoundPPMMolar Mass (g/mol)Density (g/mL)Molarity (M)
NaCl50058.441.00.00856
KCl75074.551.00.01006
CaCl21000110.981.00.00901
MgSO4250120.371.00.00208
NH4NO310080.041.00.00125

PPM to Molarity Formula

The conversion between ppm and molarity is:

Molarity (M) = (ppm * density) / (molar mass * 1000)

Where:

  • ppm: concentration in parts per million
  • density: solution density in g/mL
  • molar mass: compound’s molar mass in g/mol

Consider a 500 ppm solution of sodium chloride (NaCl) in water:

  • Density of water: 1 g/mL
  • Molar mass of NaCl: 58.44 g/mol
Molarity = (500 1) / (58.44 1000) = 0.00856 M

How do you convert ppm to molarity?

Converting ppm to molarity involves these steps:

Gather information: Obtain the solution’s ppm, density, and the compound’s molar mass.

Apply the formula: Use the PPM to Molarity formula.

Calculate: Perform the calculation to determine molarity.

Convert 250 ppm of glucose (C6H12O6) in water to molarity.

Information:

Concentration: 250 ppm

Density of water: 1 g/mL

Molar mass of glucose: 180.16 g/mol

Apply formula: Molarity = (250 1) / (180.16 1000)

Calculate: Molarity = 0.00139 M or 1.39 mM (millimolar)

What is 1 ppm equal to?

1 ppm = 1 mg/L = 1 μg/mL

In a 1 ppm solution of silver nitrate (AgNO3):

  • Molar mass of AgNO3: 169.87 g/mol
  • Density of water: 1 g/mL
Molarity = (1 1) / (169.87 1000) = 5.89 x 10^-6 M

What is 0.1 molar in ppm?

To convert molarity to ppm, we rearrange the formula:

ppm = (Molarity molar mass 1000) / density

Convert 0.1 M sodium hydroxide (NaOH) to ppm.

  • Molar mass of NaOH: 40 g/mol
  • Density of solution: ~1 g/mL (assuming dilute aqueous solution)
ppm = (0.1 40 1000) / 1 = 4000 ppm

What is the relationship between molarity and ppm?

Molarity and ppm are interconnected concentration units, each with distinct advantages:

  • Molarity: Expresses concentration in moles of solute per liter of solution, useful for stoichiometric calculations.
  • PPM: Represents concentration as mass of solute per million mass units of solution, beneficial for trace analysis.

A 0.05 M copper sulfate (CuSO4) solution:

  • Molar mass of CuSO4: 159.61 g/mol
  • Density: ~1 g/mL (dilute aqueous solution)
ppm = (0.05 159.61 1000) / 1 = 7980.5 ppm

References

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