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The base ionization constant, Kb, of ammonia in water is 1.8 × 10-5. The value of the acid ionization constant, Ka, of the conjugate acid, is closest to
  • a)
    5.6 × 10-10
  • b)
    1.8 × 109
  • c)
    7.0 × 10-7
  • d)
    5.6 × 104
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The base ionization constant, Kb, of ammonia in water is 1.8× 10...
For the ammonia (NH3) and its conjugate acid ammonium ion (NH4+), we have the following equilibrium reactions in water:
NH3 + H2O ⇌ NH4+ + OH-
  • The base ionization constant, Kb, is given as 1.8 × 10-5.
  • It represents the equilibrium constant for the reaction of ammonia with water to form ammonium ions and hydroxide ions.
  • The acid ionization constant, Ka, for the conjugate acid ammonium ion (NH4+), is related to Kb through the following expression:
Ka × Kb = Kw
  • where Kw is the ion product constant for water at a given temperature, which is approximately 1.0×10-14 at room temperature.
  • The value of Ka can be calculated as follows:
Ka × Kb = Kw
or, Ka × (1.8 × 10-5) = 1.0 × 10-14
or, Ka = (1.0 × 10-14) / (1.8 × 10-5)
or, Ka ≈ 5.6 × 10-10
  • So, the value of the acid ionization constant, Ka, of the conjugate acid (NH4+) is approximately 5.56 × 10-10.
Hence, the value of the acid ionization constant, Ka, of the conjugate acid, is closest to 5.6 × 10-10
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Community Answer
The base ionization constant, Kb, of ammonia in water is 1.8× 10...

Calculating Ka of the Conjugate Acid

- The relationship between Ka and Kb for a conjugate acid-base pair is given by the equation:
Ka x Kb = Kw = 1.0 x 10^-14
- Given that Kb of ammonia is 1.8 x 10^-5, we can calculate the value of Ka for the conjugate acid as follows:
Ka = Kw / Kb
Ka = 1.0 x 10^-14 / 1.8 x 10^-5
Ka ≈ 5.6 x 10^-10

Therefore, the value of the acid ionization constant, Ka, of the conjugate acid is closest to 5.6 x 10^-10, which corresponds to option 'A'.
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The base ionization constant, Kb, of ammonia in water is 1.8× 10-5. The value of the acid ionization constant, Ka, of the conjugate acid, is closest toa)5.6 × 10-10b)1.8 × 109c)7.0 × 10-7d)5.6 × 104Correct answer is option 'A'. Can you explain this answer?
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