The Ka of an acid is 1.3 x 10–7. Based on the Ka and its relationship with Kw, what is the value of Kb?
To find the value of Kb (the base dissociation constant), we can use the relationship between Ka (the acid dissociation constant) and Kw (the ion product constant of water). Here's how you can calculate it:
Step 1: Recall the relationship between Ka and Kw:
Kw = Ka x Kb
Step 2: Calculate Kw using its known value:
Kw = 1.0 x 10^–14 (at 25°C)
Step 3: Rearrange the equation to solve for Kb:
Kb = Kw / Ka
Step 4: Substitute the values into the equation:
Kb = (1.0 x 10^–14) / (1.3 x 10^–7)
Step 5: Calculate Kb:
Kb ≈ 7.69 x 10^–8
Therefore, based on the given Ka value of 1.3 x 10^–7, the value of Kb is approximately 7.69 x 10^–8.
KaKb = Kw.
You know Ka and Kw, solve for Kb .