A monobasic acid have dissociation constant equal to 1.8* 10^-5 at 25°C Calculate the degree of dissociation when molar concentration is equal to 0.20 M at the same temperature what is the concentration of H+ .
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Concept:
Monobasic acid is an acid that can donate only one H+ ion during an acid-base reaction.
Eg: HA---- H+ + A-
Given:
Ka = 1.8×10^-⁵
Initially, HA------- H+ + A-
0.20 0 0
Final
0.20-0.20x 0.20x 0.20x
To find: Degree of dissociation and H+ concentration
Solution:
As we know that
Ka= CX²/1-X = 0.2x²/1-x
1.8 × 10^-⁵ = 0.2x²/1-x
x² = 1.8 × 10^-⁵ × (1-x)/ 0.2
x²= 9 × 10^-⁵
x = √9 × 10^-⁵
x = 3 × 0.0031
x = 0.0093
Hence, the degree of dissociation = 9.3 × 10^-³
Now, the concentration of H+ = 0.2x = 0.2 × 9.3 × 10^-³ = 1.86 × 10^-³ M
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