What is the molarity of the diluted solution when each of...

What is the molarity of the diluted solution when each of the following solutions is diluted to the given final volume? (a) 1.00 $\mathrm{L}$ of a $0.250-\mathrm{M}$ solution of $\mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{3}$ is diluted to a final volume of 2.00 $\mathrm{L}$ (b) 0.5000 $\mathrm{L}$ of a $0.1222-M$ solution of $\mathrm{C}_{3} \mathrm{H}_{7} \mathrm{OH}$ is diluted to a final volume of 1.250 $\mathrm{L}$ (c) 2.35 L of a $0.350-$ M solution of $\mathrm{H}_{3} \mathrm{PO}_{4}$ is diluted to a final volume of 4.00 $\mathrm{L}$ (d) 22.50 $\mathrm{mL}$ of a $0.025-\mathrm{M}$ solution of $\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}$ is diluted to 100.0 $\mathrm{mL}$

What is the molarity of the diluted solution when each of the following solutions is diluted to the given final volume?
(a) 1.00 $\mathrm{L}$ of a $0.250-\mathrm{M}$ solution of $\mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{3}$ is diluted to a final volume of 2.00 $\mathrm{L}$
(b) 0.5000 $\mathrm{L}$ of a $0.1222-M$ solution of $\mathrm{C}_{3} \mathrm{H}_{7} \mathrm{OH}$ is diluted to a final volume of 1.250 $\mathrm{L}$
(c) 2.35 L of a $0.350-$ M solution of $\mathrm{H}_{3} \mathrm{PO}_{4}$ is diluted to a final volume of 4.00 $\mathrm{L}$
(d) 22.50 $\mathrm{mL}$ of a $0.025-\mathrm{M}$ solution of $\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}$ is diluted to 100.0 $\mathrm{mL}$

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Key Concepts

Molarity

Molarity is a measure of the concentration of a solute in a solution, defined as the number of moles of solute per liter of solution. It is a central concept in solution preparation and analysis, providing a way to express how concentrated or dilute a solution is in chemical calculations.

Dilution Equation

The dilution equation (M1V1 = M2V2) is used to relate the concentrations and volumes of solutions before and after dilution. It is based on the fundamental principle that the number of moles of solute remains constant during the dilution process, allowing for the calculation of a new concentration when volume is changed.

Conservation of Moles

This principle states that during the dilution of a solution, the total number of moles of the solute remains unchanged despite a change in volume. It is the foundational concept that underlies the dilution equation and ensures that the product of the initial concentration and volume equals the product of the final concentration and volume.

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