for a buffer
pH = -log Ka + log( [cojugate base / acid])
given
pH = 4.19
Ka = 6.4 x 10-5
plug in the values
4.19 = -log (6.4 x 10-5) + log([conjugate base/acid]
log(conjugate base/acid) = 4.19 + log (6.4 x 10-5)
log([conjugate base /acid]) = -0.00382
[conjugate base/acid] = 10(-0.00382)
[conjugate base/acid] = 0.99
so the ratio of conjugate base and acid must be equal to 1
from the given options , c satisfy this
so
C) 0.5 M weak acid with 0.5 M conjugate base
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