Ka = 1.4*10^-4
pKa = - log (Ka)
= - log(1.4*10^-4)
= 3.8539
use formula for buffer
pH = pKa + log ([NaC3H5O3]/[HC3H5O3])
3.9 = 3.8539 + log ([NaC3H5O3]/[HC3H5O3])
log ([NaC3H5O3]/[HC3H5O3]) = 0.0461
[NaC3H5O3]/[HC3H5O3] = 1.1121
[NaC3H5O3] = 0.1668
volume , V = 1.0 L
we have below equation to be used:
number of mol,
n = Molarity * Volume
= 0.1668*1
= 0.1668 mol
Molar mass of NaC3H5O3 = 1*MM(Na) + 3*MM(C) + 5*MM(H) + 3*MM(O)
= 1*22.99 + 3*12.01 + 5*1.008 + 3*16.0
= 112.06 g/mol
we have below equation to be used:
mass of NaC3H5O3,
m = number of mol * molar mass
= 0.1668 mol * 112.06 g/mol
= 18.7 g
Answer: 18.7 g
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