Dilution equation

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 The equation of dilution, M1V1 = M2V2, is a mathematical expression that represents the relationship between the initial and final concentrations and volumes of a solution when it is diluted. This equation is based on the principle of conservation of moles, which states that the total number of moles of a solute remains constant before and after dilution.


To understand how this equation can be proven, let's break it down step by step:


1. Start with the initial solution: 

   - M1 represents the initial concentration of the solute (in moles per liter or molarity) 

   - V1 represents the initial volume of the solution (in liters) 


2. Dilute the solution:

   - Add a solvent (usually water) to the initial solution to increase its volume.

   - The final volume of the diluted solution is represented by V2.


3. After dilution, the total number of moles of the solute remains the same. This is the principle of conservation of moles.


4. The final concentration of the solute, M2, can be calculated by dividing the total number of moles of the solute by the final volume of the solution (V2). 


   - The total number of moles of the solute before dilution is given by M1V1.

   - Therefore, M1V1 = M2V2.


By rearranging the terms in the equation, you can solve for any unknown variable. For example, if you want to calculate the final concentration (M2) after dilution, you can rearrange the equation as:


M2 = (M1V1) / V2


This equation allows you to determine the final concentration or volume of a solution after dilution, given the initial concentration, initial volume, and final volume.

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