Final answer:
To determine the acid ionization constant (Ka) for the acid, we can use the percent dissociation and the initial concentration of the acid. By applying the formula for Ka, we can solve for the constant.
Step-by-step explanation:
To determine the acid ionization constant (Ka) for the acid, we can use the percent dissociation of the acid. The percent dissociation is the ratio of the concentration of dissociated acid to the initial concentration of the acid, multiplied by 100. In this case, the percent dissociation is 0.60%.
Let's assume the initial concentration of the acid is x M. Given that the percent dissociation is 0.60%, the concentration of dissociated acid is 0.006x M (0.60% of x). Therefore, the concentration of undissociated acid is (1 - 0.006)x M.
The equation for the dissociation of the acid is: HA ⇌ H+ + A-
The acid ionization constant (Ka) can be calculated using the equation: Ka = [H+][A-] / [HA].
Substituting the concentrations, we get Ka = (0.006x)(0.006x) / ((1 - 0.006)x).
Canceling out the x term, we get Ka = 0.006x / (1 - 0.006). Finally, substituting the known values, Ka = 0.006 * 0.090 / (1 - 0.006) = 0.00596.