Calculate the final Volume of solution obtained if 100.0 mL of 12.0 M NaOH is diluted to 5.20M

100.0 mL * 12.0 M = v * 5.20 M

To calculate the final volume of the solution obtained when diluting a known concentration of a solute, you can use the dilution equation:

(C1)(V1) = (C2)(V2)

Where:
C1 = initial concentration of the solution (in this case, 12.0 M)
V1 = initial volume of the solution (in this case, 100.0 mL)
C2 = final concentration of the solution (in this case, 5.20 M)
V2 = final volume of the solution (what we are trying to find)

To solve for V2, we rearrange the equation:

V2 = (C1)(V1) / C2

Plugging in the values:

V2 = (12.0 M)(100.0 mL) / 5.20 M

To simplify, we need to convert the mL to liters:

V2 = (12.0 M)(0.100 L) / 5.20 M

Simplifying further:

V2 = 1.20 L / 5.20

V2 ≈ 0.231 L

Therefore, the final volume of the solution obtained after diluting 100.0 mL of 12.0 M NaOH to 5.20 M is approximately 0.231 liters.