Why does the dilution equation, M 1 V 1 = M 2 V 2, work?

a) The dilution equation works because the mass remains the same.
b) The dilution equation works because the molarity remains the same.
c) The dilution equation works because the volume remains the same.
d) The dilution equation works because the number of moles remains the same.

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Answer:

d) The dilution equation works because the number of moles remains the same.

Explanation:

Let’s say that you have 1 mol of a solute in I L of solution. The concentration is 1 mol·L⁻¹. and MV₁ = 1 mol.

Now, you dilute the solution to a volume of 2 L. You still have 1 mol of solute, but in 2 L of solution. The new concentration is 0.5 mol·L⁻¹.

The volume has doubled, but the volume has halved, and MV₂ = 1 mol.

b) Wrong. The molar concentration changes on dilution.

c) Wrong. The volume changes on dilution.

a) Wrong, although technically correct, because if the moles don’t change, the mass doesn’t change either. However, the formula MV₁ has units mol·L⁻¹ × L = mol. Thus, in the formula, it is moles that are constant.

The dilution equation work M1V1 =M2V2 work  because the number of moles of solute remains the same.

Further Explanation:

Dilution

Dilution refers to the addition of solvent such as water to a solution.  When dilution is done the amount of solute is not affected but the amount of solvent increases while the concentration decreases.

Concentration

It is the opposite of dilution where by a solvent is removed from a solution thereby increasing the concentration of the solute.

Dilution equation.

The dilution equation is given by;

M1V1=M2V2

Where M1 is the initial concentration of the solution

V1 is the initial volume of the solution

M1 is the concentration of the new solution

V1 is the volume of the new volume

Initial solution

The initial solution before dilution is called the stock solution. It is the solution before dilution process is done.

Final solution

Final solution is called the diluted solution. It is the solution obtained after the process of dilution.

Since dilution involves addition of solvent, then the amount of solvent in this case water increases , the amount of solute remains constant while the concentration of solute decreases.

Keywords: Dilution, dilution equation, stock solution, diluted solution.

Learn more about:

Dilution: https://brainly.com/question/3203632

Dilution equation: https://brainly.com/question/7208939

Application of dilution equation; https://brainly.com/question/7208939

Level: High school

Subject: Chemistry

Topic: Mole

Sub-topic: Dilution