Calculate the molarity of the solutions made by mixing 175 mL of 3.0 M HCl with the following:

step 1 calculating molarity using the dilution equations. We have m1, multiplied by v1 is equal to n2,

Calculate the molarity of the solutions made by mixing 175...

Calculate the molarity of the solutions made by mixing $175 \mathrm{~mL}$ of $3.0 \mathrm{M} \mathrm{HCl}$ with the following:
(a) $250 \mathrm{~mL}$ of $\mathrm{H}_{2} \mathrm{O}$
(b) $115 \mathrm{~mL}$ of $6.0 \mathrm{M} \mathrm{HCl}$

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Key Concepts

Dilution Principle

The dilution principle states that when a solution is diluted by adding more solvent or another solution, the total number of moles of the solute remains constant. This principle allows one to calculate the new concentration by dividing the unchanged number of moles by the new total volume of the solution.

Conservation of Moles

The conservation of moles concept is based on the idea that the number of moles of solute remains the same before and after mixing or dilution, provided there are no chemical reactions altering the solute. This is fundamental when combining solutions, as it enables the calculation of final concentrations by equating the initial and final moles.

Molarity

Molarity is a measure of the concentration of a solution, defined as the number of moles of solute per liter of solution. It provides a standard way to express concentration in solution chemistry and is key in calculating the amounts of reactants and products in chemical reactions.

Volume Addition

Volume addition is the process of summing the individual volumes of solutions or solvents that are mixed together to form a single solution. The final concentration of the resultant solution is determined by the total volume over which the unchanged number of moles of solute is distributed.

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