Final answer:
The new concentration of the NaOH solution is 0.24 M.
Step-by-step explanation:
To find the new concentration of the NaOH solution, we can use the dilution formula:
C1V1 = C2V2
Where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.
In this case, the initial concentration is 6.0 M (given) and the initial volume is 10.0 mL. The final volume is 250 mL, so we can substitute these values into the formula and solve for C2:
(6.0 M)(10.0 mL) = C2(250 mL)
60.0 = C2(250)
C2 = 0.24 M