Final answer:
The Ka value for picric acid at this temperature is 1.02 x 10^(-3).
Step-by-step explanation:
The pH of a solution is a measure of its acidity or alkalinity. It is calculated using the formula pH = -log[H+]. Given that the pH of the 0.100 M solution of picric acid is 1.09, we can rearrange the equation to solve for [H+].
pH = -log[H+]
10^(pH) = [H+]
[H+] = 10^(-1.09) M
Now, we can use the equation for Ka to calculate the Ka value:
Ka = [H+][A-] / [HA]
Ka = (10^(-1.09))^2 / 0.100
Ka = 1.02 x 10^(-3)