Calculate Molarity

Calculate molarity, moles, and volume for chemical solutions using M = n/V and the dilution equation.

The Molarity Calculator solves for any variable in the equation M = n/V given the other two. It also supports dilution calculations using M1V1 = M2V2. Enter values for molarity, moles, or volume to calculate the unknown. It features common solution presets, unit conversions between mL/L and mmol/mol, and a visual beaker representation showing concentration intensity; making it an essential tool for chemistry students, lab technicians, and researchers preparing chemical solutions.

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Tutorial

How to Use the Molarity Calculator

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Choose your calculation mode

Select Molarity mode for M = n/V or Dilution mode for M1V1 = M2V2 calculations.

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Select the variable to solve

Pick which unknown you need to find, then enter the other known values in their fields.

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Read your result instantly

The calculator solves automatically and displays the result with proper units and significant figures.

Guide

Complete Guide to Molarity and Solution Chemistry

What Is Molarity?

Molarity (M) measures the concentration of a solute in a solution. It is defined as the number of moles of solute per liter of solution (mol/L). For example, a 1 M NaCl solution contains one mole of sodium chloride dissolved in enough water to make exactly one liter of solution. Molarity is the standard concentration unit in analytical and general chemistry because it directly relates the amount of substance to the solution volume.

The Molarity Equation M = n/V

The fundamental equation M = n/V connects three variables: molarity (M), moles of solute (n), and volume of solution in liters (V). Given any two of these values, you can solve for the third. This relationship is used daily in laboratories for preparing solutions, calculating reaction yields, and performing stoichiometric analysis. Always ensure volume is in liters; if given in mL, divide by 1000 before substituting.

Dilution and M1V1 = M2V2

When you dilute a concentrated solution by adding solvent, the total moles of solute stay the same. This conservation is expressed as M1V1 = M2V2, where subscript 1 refers to the initial (concentrated) state and subscript 2 to the final (diluted) state. This equation is essential for preparing working solutions from stock reagents in biology, chemistry, and clinical labs.

Best Practices for Solution Preparation

Always use volumetric flasks for accurate solution preparation. Dissolve the solute in less solvent than the final volume, then add solvent up to the mark. Record all measurements and use analytical balances for precise weighing. Temperature can affect volume; prepare solutions at the standard temperature (20 or 25 degrees Celsius) unless otherwise specified. Double-check concentration calculations before proceeding with experiments.

Examples

Worked Examples

Example: Finding Molarity

Given: 0.5 moles of NaCl dissolved in 2 liters of solution.

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Step 1: Identify the formula M = n / V.

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Step 2: Substitute values: M = 0.5 / 2.

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Step 3: M = 0.25 mol/L.

Result: The solution has a molarity of 0.25 M (0.25 moles per liter).

Example: Dilution Calculation

Given: 100 mL of 6 M HCl diluted to 500 mL total volume.

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Step 1: Use M1V1 = M2V2 with M1 = 6, V1 = 0.1 L, V2 = 0.5 L.

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Step 2: M2 = (6 x 0.1) / 0.5 = 0.6 / 0.5.

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Step 3: M2 = 1.2 M.

Result: The diluted solution has a molarity of 1.2 M.

Use Cases

Use Cases

Lab Solution Preparation

Determine how many moles of solute you need to prepare a specific volume of solution at a target molarity; essential for everyday chemistry lab work and experiments.

Stock Solution Dilution

Calculate the final concentration when diluting a stock solution to a larger volume using M1V1 = M2V2; commonly needed when preparing reagents from concentrated stocks.

Titration Analysis

Find the unknown concentration of an analyte by entering the known molarity and volume of the titrant and the endpoint volume; a standard procedure in analytical chemistry.

Pharmacology Dosing

Convert between moles and volume to determine drug concentrations in solutions for intravenous administration; critical for accurate medication preparation in clinical settings.

Frequently Asked Questions

?What is molarity?

Molarity (M) is a measure of concentration defined as the number of moles of solute dissolved per liter of solution. It is the most widely used concentration unit in chemistry.

?How do I calculate molarity?

Divide the number of moles of solute by the volume of the solution in liters. The formula is M = n / V where n is moles and V is volume.

?What is the dilution equation?

The dilution equation M1V1 = M2V2 relates the initial and final concentrations and volumes when you dilute a solution. It lets you solve for any one unknown.

?Can I switch between mL and L?

Yes. Use the unit toggle buttons to switch between liters and milliliters for volume, or between moles and millimoles for the amount of substance.

?What are the common solution presets?

The presets include NaCl 0.9% saline, HCl 1 M, NaOH 0.1 M, H2SO4 2 M, and Glucose 5%. They fill in typical molarity values used in laboratories.

?Is this calculator free to use?

Yes. The Molarity Calculator is completely free, requires no sign-up, and has no usage limits. You can use it as many times as you need.

?Is my data private?

All calculations run entirely in your browser. No data is sent to any server, so your input values and results remain completely private on your device.

?How accurate are the results?

Results are displayed to four decimal places. The calculator uses standard floating-point arithmetic, which is more than sufficient for typical chemistry calculations.

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