A 0.0560-g quantity of acetic acid is dissolved in enough water to make 50.0 mL of solution. Calculate the concentrations of H+, CH3COO−, and CH3COOH at equilibrium. (Ka for acetic acid = 1.8 × 10−5.)
Given : Mass of acetic acid = 0.0560 g
Volume of solution = 50.0 mL = 0.050 L
[CH3COOH ] = mol CH3COOH / volume in L
Mol CH3COOH = mass in g / molar mass
= 0.0560 g / 60.05 g per mol
= 0.000932 mol
[CH3COOH]= 0.000932 mol / 0.050 L
= 0.019 M
ICE
CH3COOH (aq) + H2O (l) --- > CH3COO- (aq) + H3O+ (aq)
I 0.019 0 0
C -x +x +x
E (0.019 –x) x x
Ka = [CH3COO-][H3O+]/ [CH3COOH]
1.8 E -5 = x2 / ( 0.019-x)
Since the value of ka is small we use 5% approximation
(0.019 –x ) = 0.019
1.8 E -5 = x2 / 0.019
We find value of x
X2 = 1.8 E-5 x 0.019
x = 0.000585
[CH3COO-] = 0.000585 M
[H3O+] = x = 0.000585 M
[CH3COOH]= 0.019 – x = 0.019 – 0.000585 = 0.0184 M
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