Answer
$K_a = 6.667\times 10^{- 6}$
Work Step by Step
1. We can use this formula to find the ka or kb of a conjugate acid-base pair.
$K_b * K_a = K_w = 10^{-14}$
$ 1.5\times 10^{- 9} * K_a = 10^{-14}$
$K_a = \frac{10^{-14}}{ 1.5\times 10^{- 9}}$
$K_a = 6.667\times 10^{- 6}$