Question

The ionization constant of water is related to ionic product as:

• A. $k_w>k\left[H_{2}O\right]$
• B. $k_w=k\left[H_{2}O\right]$
• C. $k_w<\left[H_{2}O\right]$
• D. none of the above

Answer 1

The correct option is B $k_w=k\left[H_{2}O\right]$

The ionization constant of water is related to ionic product by the expression $k_w=k\left[H_{2}O\right]$.
The ionization constant for water is given by the expression $K=\frac{\left[H^{+}\right]\left[O{H}^{-}\right]}{\left[H_{2}O\right]}$.
Hence, $K\left[H_{2}O\right]=\left[H^{+}\right]\left[O{H}^{-}\right]$
The ionic product of water is given by the expression $K_w=\left[H^{+}\right]\left[O{H}^{-}\right]$.
Hence, $k_w=k\left[H_{2}O\right]$.