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Calculate Molarity From Molecular Weight And Density

Molarity Formula:

\[ M = \frac{(\% \text{ w/v} \times \text{density} \times 10)}{\text{molecular weight}} \]

%
g/mL
g/mol

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1. What is Molarity Calculation?

Molarity (M) is a measure of concentration representing the number of moles of solute per liter of solution. This calculator converts weight/volume percentage concentration to molarity using density and molecular weight.

2. How Does the Calculator Work?

The calculator uses the molarity formula:

\[ M = \frac{(\% \text{ w/v} \times \text{density} \times 10)}{\text{molecular weight}} \]

Where:

Explanation: The formula converts percentage concentration to molar concentration by accounting for the mass of solute per volume of solution and the molecular weight of the solute.

3. Importance of Molarity Calculation

Details: Accurate molarity calculation is essential for preparing chemical solutions, conducting experiments, and ensuring proper concentrations in pharmaceutical and industrial applications.

4. Using the Calculator

Tips: Enter weight/volume percentage (%), density (g/mL), and molecular weight (g/mol). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between % w/v and molarity?
A: % w/v expresses concentration as grams of solute per 100 mL of solution, while molarity expresses it as moles of solute per liter of solution.

Q2: Why is density needed for this conversion?
A: Density is required to convert volume-based percentage concentration to mass-based molar concentration since the mass of the solution affects the actual concentration.

Q3: What are typical units for molecular weight?
A: Molecular weight is typically expressed in grams per mole (g/mol) for molarity calculations.

Q4: Can this calculator be used for any solute?
A: Yes, as long as you have the correct molecular weight and density values for the specific solution.

Q5: How accurate is this calculation?
A: The accuracy depends on the precision of the input values. For highly accurate results, use measured density values at the specific temperature.

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