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Molarity Calculator

The calculator will help you determine the molarity, volume, and mass of a concentrated solution.

Calculate:

Mass:

mg ▾

Volume (g/mol):

Molecular Weight:

mL ▾

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Molarity Calculator

An online molarity calculator helps calculate molarity, volume, concentration, and mass for concentrated or dilute solutions. It provides results in multiple units for any chosen parameter.

What is Molarity?

Molarity refers to the concentration of moles of solute in one liter of solution:

Molarity (M) = Number of moles of solute / Volume of solution (L)

Where:

M = Molarity of the solution
n = Number of moles of solute
V = Volume of solution in liters

Units of Molarity

The standard units of molarity are mol/L or mol·dm^-3.

Calculating Moles, Mass, and Volume

Moles of solute: Number of moles = Mass of solute / Molar mass of solute

Mass of solute: Mass = Molarity × Volume of solution (L) × Molar mass of solute

Volume of solution: Volume = Number of moles / Molarity

Dilution of Stock Solution

To decrease the concentration of a stock solution by adding solvent, use:

C₁V₁ = C₂V₂

Where:

C₁ = Concentration of stock solution
V₁ = Volume of stock solution needed
C₂ = Desired concentration
V₂ = Final volume of solution

Step-by-Step Examples

Example 1: Molarity of NaCl Solution

Dissolve 1.2 g of NaCl in 23.4 mL water. Find molarity.

Molecular mass of NaCl = 23 + 35.5 = 58.5 g/mol
Moles of NaCl = 1.2 / 58.5 = 0.0205 mol
Volume = 23.4 mL / 1000 = 0.0234 L
Molarity = 0.0205 / 0.0234 ≈ 0.876 M

Example 2: Mass of KCl Required

Find the mass needed for 0.056 L of 1.6 M KCl.

Molecular Mass = 39.1 + 35.5 = 74.6 g/mol
Moles = 1.6 × 0.056 = 0.0896 mol
Mass = 0.0896 × 74.6 ≈ 6.684 g

Example 3: Diluting a Solution

0.9876 L of 3.4 M solution is needed at 2.41 M. Find the required volume.

V₁ = (C₂ × V₂) / C₁ = (2.41 × 0.9876) / 3.4 ≈ 0.7 L

How Molarity Calculator Works

The online molarity calculator provides exact results for any parameter:

Input:

Mass from volume and concentration
Volume from mass and concentration
Molarity from mass and volume
Dilution of a stock solution
Enter corresponding values and click “Calculate”

Output:

Molarity of a solution
Volume of a solution
Mass of solute
Volume of diluted stock solution

FAQ

What is Molality?

Molality is the number of moles of solute per kilogram of solvent (mol/kg).

Does a change in volume affect molarity?

Yes. Increasing solution volume decreases molarity; decreasing volume increases molarity.

Units of Molality

The SI unit is mol/kg.

Molarity of Pure Water

Approximately 55.55 M.

Conclusion

Molarity is essential for accurate chemical calculations. It provides insight into solution concentration and helps in laboratory experiments. An online molarity calculator delivers instant and precise results.

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