# 25 mL of a #"10% m/v"# #NH_4Cl# solution is diluted to 250 mL. What is the final concentration of the #NH_4Cl#?

Actually, if you know exactly what it means to dilute a solution, you can solve this problem without using any formulas.

The fundamental idea of a dilution is that the mass of the solute, or the number of moles of solute, stays constant.

After a dilution, the concentration of the original solution drops because adding more solvent increases the volume of the solution.

You will see that the volume of this solution after diluting it is ten times greater than the original volume.

The dilution factor is the ratio that exists between the solution's final volume and its initial volume.

As you can see, by merely comparing the two volumes, you can determine the concentration of the diluted solution thanks to the dilution factor.

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To find the final concentration of NH₄Cl after dilution, we can use the formula for dilution:

C1V1 = C2V2

Where: C1 = initial concentration V1 = initial volume C2 = final concentration V2 = final volume

Given: Initial concentration (C1) = 10% m/v = 10 g/100 mL = 0.10 g/mL Initial volume (V1) = 25 mL Final volume (V2) = 250 mL

Substituting into the dilution formula:

(0.10 g/mL)(25 mL) = C2(250 mL)

Solving for C2:

C2 = (0.10 g/mL * 25 mL) / 250 mL C2 = 0.01 g/mL

Therefore, the final concentration of NH₄Cl after dilution is 0.01 g/mL or 1% m/v.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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