PPM to Molarity Calculator

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 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

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