J.R. S. answered 04/16/21
Ph.D. University Professor with 10+ years Tutoring Experience
A) H2C6H6O6 ==> H+ + HC6H6O6-
B) acid = H2C6H6O6; conjugate base = HC6H6O6-
C) H2C6H6O6 ==> H+ + HC6H6O6- Reaction
.......0.100 ................0............0.............Initial
.......-x.......................+x..........+x...........Change
......0.100-x................x.............x............Equilibrium
Ka = [H+][HC6H6O6-] / [H2C6H6O6]
7.9x10-5 = (x)(x) / 0.100 - x (assume x is small and ignore it in the denominator)
x2 = 7.9x10-6
x = 2.8x10-3 M H+ (note: this is small, i.e. ~ 3% compared to 0.100 M so our assumption above was valid)
pH = -log [H+]
pH = -log 2.8x10-3
pH = 2.55