How to Calculate the Molarity of a Diluted Solution?

What is the molarity of the diluted solution?

If 445 ml of 6.0 M HNO3 is diluted to 2.5 L, what is the molarity of the diluted solution?

Answer:

The molarity of the diluted solution can be calculated using the formula M1V1 = M2V2.

When a solution is diluted, the number of moles of solute in the solution remains constant while the volume of the solution increases. In this case, we have an initial molarity (M1) of 6.0 M and a volume (V1) of 445 ml. The final volume (V2) after dilution is 2.5 L, which is equivalent to 2500 ml.

To find the molarity of the diluted solution (M2), we can use the formula:

M1V1 = M2V2

Substitute the values into the formula:

6.0 M * 445 ml = M2 * 2500 ml

Solve for M2:

M2 = (6.0 * 445) / 2500 = 1.07 M

Therefore, the molarity of the diluted solution is 1.07 M.