Final answer:
The value of kb for ClO− at 25 °C is calculated using the relationship kb = kw / ka, and it is found to be 2.5×10−7.
Step-by-step explanation:
To determine the value of kb for ClO− at 25 °C, given that the ka for HClO is 4.0×10−8, we use the relationship between the ionization constant of an acid (ka) and the ionization constant of its conjugate base (kb). The product of ka and kb for a conjugate acid-base pair is equal to the ion product of water (kw), which at 25 °C is 1.0×10−14. Knowing this, we can calculate kb as follows:
kb = kw / ka
substitute given values:
kb = (1.0×10−14) / (4.0×10−8)
kb = 2.5×10−7
Hence, the value of kb for ClO− at 25 °C is 2.5×10−7.