Incorrect. Point (e) is the second equivalence point, where the acid has been co
ID: 1057892 • Letter: I
Question
Incorrect. Point (e) is the second equivalence point, where the acid has been completely converted to HPO_3^2-, HPO_3^2- is a weak base with K_b1 = K_w/K_aZ. The concentration of HPO_3^2- must be adjusted for the increase in volume to a total of 50.0 + 100.0 = 150.0 mL, M_2 = M_1 V_1/V_2 = (2.4 M)(50.0 mL)(150.0 mL) As usual, [OH^-] from a weak base can be calculated via K-b = x^2/.80 M - x TildeTilde x^2/0.80 M where x = [OH^-] Since K_b1 >> K_b2 you only need to consider the first ionization.Explanation / Answer
HPO3-2 + H2O <--> H2PO3- + OH-
Kb = [H2PO3-][OH-]/[HPO3-2]
pKa2 = 7.21 (note that If this is not the case, simply substitute in bolded number)
Kb Kw/Ka = (10^-14)/(10^-7.21) = 1.621*10^-7
so
Kb = [H2PO3-][OH-]/[HPO3-2]
1.621*10^-7 = x*x/(0.80-x)
1.621*10^-7 = x*x/(0.80)
x = sqrt(0.8*1.621*10^-7) = 3.601110*10^-4