Final answer:
To find the pH of the diluted NaOH solution, calculate the new concentration, determine the pOH by taking the negative logarithm of the hydroxide ion concentration, and subtract from 14 to find the pH.
Step-by-step explanation:
To calculate the pH after diluting 100 ml of 0.5 M NaOH to 1L with distilled water, we must first determine the new concentration of NaOH in the solution. The number of moles of NaOH in 100 ml of a 0.5 M solution is found by multiplying the concentration by the volume in liters (0.1 L), which equals 0.05 moles. When this amount is diluted to a total volume of 1L, the new concentration of NaOH is 0.05 M. Sodium hydroxide (NaOH) is a strong base that completely dissociates in water, meaning its concentration equals the concentration of hydroxide ions (OH-) in the solution. The pOH of the solution can be calculated using the formula pOH = -log[OH-]. After finding the pOH, we can find the pH by subtracting the pOH from 14 (pH + pOH = 14 for aqueous solutions at 25°C). Hence, the pH of a 0.05 M NaOH solution would be calculated as follows: pOH = -log(0.05), pH = 14 - pOH.