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
| Compound | PPM | Molar Mass (g/mol) | Density (g/mL) | Molarity (M) |
|---|---|---|---|---|
| NaCl | 500 | 58.44 | 1.0 | 0.00856 |
| KCl | 750 | 74.55 | 1.0 | 0.01006 |
| CaCl2 | 1000 | 110.98 | 1.0 | 0.00901 |
| MgSO4 | 250 | 120.37 | 1.0 | 0.00208 |
| NH4NO3 | 100 | 80.04 | 1.0 | 0.00125 |
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 MHow 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/mLIn 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 MWhat is 0.1 molar in ppm?
To convert molarity to ppm, we rearrange the formula:
ppm = (Molarity molar mass 1000) / densityConvert 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 ppmWhat 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 ppmReferences
- American Chemical Society. “ACS Guide to Concentration Units.” https://www.acs.org/content/acs/en/education/whatischemistry/concentration-units.html
- National Institute of Standards and Technology. “Concentrations and Units in Chemical Analysis.” https://www.nist.gov/pml/weights-and-measures/concentrations-and-units-chemical-analysis
- Royal Society of Chemistry. “Concentration Calculations.” https://edu.rsc.org/resources/concentration-calculations/1424.article
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