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Molarity Calculator

Calculate molarity, mass, or volume for chemical solutions.

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Understanding Molarity

Molarity (M) is a fundamental concept in chemistry that measures the concentration of a solute in a solution. It is defined as the number of moles of solute dissolved in one liter of solution. The formula is simple yet powerful:

The Molarity Formula

Molarity (M) = Moles of SoluteLiters of Solution

Why is Molarity Important?

Molarity is the preferred unit of concentration for chemists because it directly relates the amount of a substance (in moles) to the volume of the solution. This makes it incredibly useful for stoichiometric calculations in chemical reactions, where the mole ratio of reactants and products is key.

  • Stoichiometry: When you know the molarity and volume of a solution, you can calculate the exact number of moles of a reactant, allowing for precise predictions of product yield.
  • Solution Preparation: It provides a standard way to prepare solutions of a known concentration in the lab.
  • Titrations: It is essential for determining the concentration of an unknown solution through titration experiments.

How to Use the Molarity Calculator

Our Molarity Calculator allows you to solve for molarity, mass (grams of solute), or volume. Here’s a practical example for each calculation type:

Example 1: Calculating Molarity

You dissolve 58.44 grams of sodium chloride (NaCl) in enough water to make 1 liter of solution. What is the molarity?

  1. Find the Molar Mass: The molar mass of NaCl is 58.44 g/mol.
  2. Calculate Moles: Moles = Mass / Molar Mass = 58.44 g / 58.44 g/mol = 1 mol.
  3. Calculate Molarity: Molarity = Moles / Liters = 1 mol / 1 L = 1 M.

Example 2: Calculating Mass (Grams)

You need to prepare 500 mL of a 0.5 M solution of glucose (C₆H₁₂O₆). How many grams of glucose do you need?

  1. Find the Molar Mass: The molar mass of glucose is approximately 180.16 g/mol.
  2. Convert Volume: 500 mL is equal to 0.5 L.
  3. Rearrange Formula to find Moles: Moles = Molarity × Liters = 0.5 M × 0.5 L = 0.25 mol.
  4. Calculate Mass: Mass = Moles × Molar Mass = 0.25 mol × 180.16 g/mol = 45.04 grams.

Frequently Asked Questions (FAQ)

What is the difference between molarity and molality?
Molarity is moles of solute per liter of solution, while molality is moles of solute per kilogram of solvent. Molarity can change with temperature (as volume expands/contracts), whereas molality does not.
How do I find the molar mass of a compound?
To find the molar mass, you sum the atomic masses of all atoms in the chemical formula. For example, for H₂O, you would add the mass of two hydrogen atoms and one oxygen atom (1.008*2 + 15.999 = 18.015 g/mol).
Does temperature affect molarity?
Yes. Since molarity is based on the volume of the solution, and the volume of liquids can change with temperature, molarity is temperature-dependent. For highly precise work, chemists sometimes use molality or prepare solutions at a standard temperature.

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