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Molarity to Molality Calculator

Molarity to Molality Formula:

\[ \text{Molality} = \frac{M}{\rho - (M \times MW / 1000)} \]

mol/L
kg/L
g/mol

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1. What is Molarity to Molality Conversion?

Molarity (M) is the number of moles of solute per liter of solution, while molality (m) is the number of moles of solute per kilogram of solvent. This conversion is important in chemistry when temperature changes affect solution volume but not mass.

2. How Does the Calculator Work?

The calculator uses the conversion formula:

\[ \text{Molality} = \frac{M}{\rho - (M \times MW / 1000)} \]

Where:

Explanation: The formula accounts for the mass of solute in the solution to find the mass of solvent, then calculates moles per kg of solvent.

3. Importance of Molality Calculation

Details: Molality is temperature-independent (unlike molarity) and is used in colligative property calculations, boiling point elevation, and freezing point depression.

4. Using the Calculator

Tips: Enter molarity in mol/L, solution density in kg/L, and molecular weight in g/mol. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: When should I use molality instead of molarity?
A: Use molality for temperature-sensitive experiments or when working with colligative properties. Use molarity for volume-based reactions at constant temperature.

Q2: What's the difference between molality and molarity?
A: Molarity is moles per liter of solution, molality is moles per kilogram of solvent. They're equal in dilute aqueous solutions.

Q3: Why does density matter in this conversion?
A: Density helps determine the mass of solvent by accounting for the mass contributed by the solute.

Q4: Can I use this for any solute?
A: Yes, as long as you know the molecular weight and solution density at your working concentration.

Q5: What if I get "Invalid (density too low)"?
A: This means the calculated solvent mass would be negative - check your inputs, especially that density > (M × MW/1000).

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