what is the relationship between $k_a$ and $k_b$ with $k_w$?\nthe sum of $k_a$ and $k_b$ equals the auto…

what is the relationship between $k_a$ and $k_b$ with $k_w$?\nthe sum of $k_a$ and $k_b$ equals the auto - dissociation constant for water.\nthe product of $k_a$ and $k_b$ equals the auto - dissociation constant for water.\nthe quotient of $k_a$ and $k_b$ equals the auto - dissociation constant for water.\nthe difference of $k_a$ and $k_b$ equals the auto - dissociation constant for water.

what is the relationship between $k_a$ and $k_b$ with $k_w$?\nthe sum of $k_a$ and $k_b$ equals the auto - dissociation constant for water.\nthe product of $k_a$ and $k_b$ equals the auto - dissociation constant for water.\nthe quotient of $k_a$ and $k_b$ equals the auto - dissociation constant for water.\nthe difference of $k_a$ and $k_b$ equals the auto - dissociation constant for water.

Answer

Answer:

The product of $K_a$ and $K_b$ equals the auto - dissociation constant for water.

Explanation:

Step1: Recall relevant concepts

For a conjugate acid - base pair, $K_a$ is the acid dissociation constant and $K_b$ is the base dissociation constant.

Step2: Know the relationship

The relationship is $K_a\times K_b = K_w$, where $K_w$ is the auto - dissociation constant of water ($K_w = [H^+][OH^-]=1.0\times 10^{- 14}$ at $25^{\circ}C$). So the product of $K_a$ and $K_b$ gives $K_w$.