Which equation is used for dilution calculations in solutions?

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Multiple Choice

Which equation is used for dilution calculations in solutions?

Explanation:
Dilution calculations hinge on the idea that the amount of solute stays the same while the volume of solution changes. Molarity is moles per liter, so the total moles are M × V. When you dilute, you add solvent, increasing volume but not changing moles, so the relationship M1V1 = M2V2 holds. This lets you solve for the final concentration after dilution (M2 = M1V1 / V2) or the volume needed to reach a target concentration (V1 = M2V2 / M1). Other equations don’t apply to this scenario: the ideal gas law relates pressure, volume, temperature, and moles of gas; E = mc^2 is a relativity equation; and Q = Hm concerns heat or enthalpy, not concentration changes in solutions.

Dilution calculations hinge on the idea that the amount of solute stays the same while the volume of solution changes. Molarity is moles per liter, so the total moles are M × V. When you dilute, you add solvent, increasing volume but not changing moles, so the relationship M1V1 = M2V2 holds. This lets you solve for the final concentration after dilution (M2 = M1V1 / V2) or the volume needed to reach a target concentration (V1 = M2V2 / M1).

Other equations don’t apply to this scenario: the ideal gas law relates pressure, volume, temperature, and moles of gas; E = mc^2 is a relativity equation; and Q = Hm concerns heat or enthalpy, not concentration changes in solutions.

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