Step 1: Understanding the Concept:
The pH scale measures the acidity or alkalinity of a solution based on the concentration of hydrogen ions $[H^+]$. The scale typically ranges from 0 to 14.
Step 2: Detailed Explanation:
At a standard temperature of 25°C ($298\text{ K}$), the ionic product of water ($K_w$) is $1.0 \times 10^{-14}$.
• For a neutral solution: $[H^+] = [OH^-]$.
• Therefore, $[H^+]^2 = 1.0 \times 10^{-14}$, which means $[H^+] = 10^{-7}\text{ mol/L}$.
• $pH = -\log[H^+] = -\log(10^{-7}) = 7$.
Step 3: Final Answer:
The pH of a neutral solution at 25°C is 7.