Kw at 25°C equals:
A10⁻⁷
B10⁻¹⁰
C10⁻¹⁴
D10⁰
Answer & Solution
Correct answer: C. 10⁻¹⁴
$K_w$ is the **ionic product of water**. Water undergoes self-ionization to a very small extent according to the equilibrium equation:
$$H_2O(l) \rightleftharpoons H^+(aq) + OH^-(aq)$$
The equilibrium constant for this process, known as the ionic product constant, is calculated as:
$$K_w = [H^+][OH^-]$$
At the standard temperature of $25^\circ C$ ($298\text{ K}$), experimental measurements show that the concentration of hydrogen ions in pure water is:
$$[H^+] = 1.0 \times 10^{-7}\text{ mol/L}$$
Since pure water is neutral, the concentration of hydroxide ions is equal to the concentration of hydrogen ions:
$$[OH^-] = 1.0 \times 10^{-7}\text{ mol/L}$$
Substituting these values into the $K_w$ expression:
$$K_w = (10^{-7}) \times (10^{-7}) = 10^{-14}$$
Thus, at $25^\circ C$, $K_w = 10^{-14}$.
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