Question

Approximate relationship between dissociation constant of water (K) and ionic product of was $(K_w$) is

• A. $K_w=K$
• B. $K_w=55.5\times K$
• C. $K_w=18\times K$
• D. $K_w=14\times K$

Answer 1

The correct option is B $K_w=55.5\times K$

$H_{2}O=55.5$
$K_w=\left[H^{+}\right]\left[O{H}^{-}\right]$
$K=\frac{\left[H^{+}\right]\left[O{H}^{-}\right]}{\left[H_{2}O\right]}$
$=\frac{K_w}{55.5}$
$K_w=55.5\times k$