Home Back

How to Calculate Molarity from Percentage

Molarity from Percentage Formula:

\[ M = \frac{\% \times d \times 10}{MW} \]

%
g/mL
g/mol

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Molarity from Percentage Calculation?

The molarity from percentage calculation converts a percentage concentration (w/w) to molarity (mol/L) using the solution's density and the solute's molecular weight. This is particularly useful in chemistry when preparing solutions from concentrated stock solutions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M = \frac{\% \times d \times 10}{MW} \]

Where:

Explanation: The formula accounts for the mass percentage of solute, the density of the solution, and converts units appropriately to arrive at molarity.

3. Importance of Molarity Calculation

Details: Molarity is a fundamental concentration unit in chemistry used for stoichiometric calculations, solution preparation, and quantitative analysis. Converting from percentage to molarity allows for more precise chemical reactions and dilutions.

4. Using the Calculator

Tips: Enter the percentage concentration (without % sign), solution density in g/mL, and molecular weight in g/mol. Ensure all values are positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between w/w and w/v percentages?
A: w/w (weight/weight) is mass of solute per mass of solution, while w/v (weight/volume) is mass of solute per volume of solution. This calculator uses w/w percentage.

Q2: Why multiply by 10 in the formula?
A: The factor of 10 converts percentage (parts per hundred) to parts per thousand and adjusts for density units (g/mL to g/L).

Q3: Can I use this for any solute?
A: Yes, as long as you know the molecular weight of the solute and the solution's density at the given percentage.

Q4: How accurate is this calculation?
A: Accuracy depends on the precision of your input values, especially density which can vary with temperature.

Q5: What if my percentage is v/v instead of w/w?
A: For v/v (volume/volume) percentages, you'll need additional information about the densities of both solute and solvent.

Molarity from Percentage Calculator© - All Rights Reserved 2025