Chemistry Objective Questions and Answers: Ionic Equilibrium
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Multiple Choice Questions
(a) \(5.0 \times 10^{-5}\)
(b) \(5.0 \times 10^{15}\)
(c) \(0.2 \times 10^{5}\)
(d) \(5.0 \times 10^{-15}\)
Show Answer & Explanation
Answer: (d) \(5.0 \times 10^{-15}\)
Explanation:
1. \(K = K_1K_2 = 1.0 \times 10^{-5} \times 5.0 \times 10^{-10} = 5.0 \times 10^{-15}\).
Teacher's Note:
1. Overall constants multiply.
(a) 9.0
(b) 0.1
(c) 0.9
(d) 2.0
Show Answer & Explanation
Answer: (a) 9.0
Explanation:
1. Concentration falls from 0.1 M to 0.01 M, a tenfold dilution.
2. Final volume 10 L, so 9 L is added.
Teacher's Note:
1. Each pH unit is a factor of 10 in concentration.
(a) 1.0
(b) 6.9
(c) 7.0
(d) 7.2
Show Answer & Explanation
Answer: (b) 6.9
Explanation:
1. \(pH = 7 + \frac12(3.2 - 3.4) = 6.9\).
Teacher's Note:
1. The acid is slightly stronger than the base is weak.
(a) Pb(CH\(_3\)COO)\(_2\)
(b) FeCl\(_3\)
(c) Al(CN)\(_3\)
(d) CH\(_3\)COOK
Show Answer & Explanation
Answer: (d) CH\(_3\)COOK
Explanation:
1. Potassium acetate comes from a strong base and a weak acid, giving a clearly basic solution.
2. FeCl\(_3\) is acidic, and Pb and Al salts have acidic cations that offset the basic anions.
Teacher's Note:
1. Spectator K\(^+\) leaves the anion's hydrolysis unopposed.
(a) 5.0
(b) 8.0
(c) 9.0
(d) 6.0
Show Answer & Explanation
Answer: (c) 9.0
Explanation:
1. \(pH = \frac12(14 + 5 - 1) = 9\).
Teacher's Note:
1. Salt of a weak acid is basic.
(a) N\(^{3-}\)
(b) HN\(_3^-\)
(c) N\(_2^-\)
(d) N\(_3^-\)
Show Answer & Explanation
Answer: (d) N\(_3^-\)
Explanation:
1. Removing one proton from HN\(_3\) gives the azide ion N\(_3^-\).
Teacher's Note:
1. Remove H\(^+\), keep the three nitrogens.
(a) Mixture 1
(b) Mixture 4
(c) Mixture 2
(d) Mixture 3
Show Answer & Explanation
Answer: (c) Mixture 2
Explanation:
1. Mixture 2: 15 mmol H\(^+\) - 5 mmol OH\(^-\) = 10 mmol in 100 mL = 0.1 M, pH = 1.
2. The others give pH 7, 1.7 and 2.
Teacher's Note:
1. Compute the excess acid per mixture.
(a) S3 + S4 only
(b) S1 + S4 only
(c) S1 + S2, S1 + S3 (S1 in excess) and S2 + S4 (S2 in excess)
(d) S2 + S3 only
Show Answer & Explanation
Answer: (c) S1 + S2, S1 + S3 (S1 in excess) and S2 + S4 (S2 in excess)
Explanation:
1. NH\(_4\)OH with its salt (NH\(_4\))\(_2\)SO\(_4\) gives a basic buffer.
2. NH\(_4\)OH with limited HCl forms NH\(_4^+\) and leaves NH\(_3\).
3. (NH\(_4\))\(_2\)SO\(_4\) with limited KOH forms NH\(_3\) and leaves NH\(_4^+\).
Teacher's Note:
1. Look for combinations that leave both NH\(_3\) and NH\(_4^+\).
(a) 4.62
(b) 4.74
(c) 5.0
(d) 4.22
Show Answer & Explanation
Answer: (a) 4.62
Explanation:
1. Acid = 4/60 = 0.0667 mol; salt = 4.1/82 = 0.05 mol.
2. \(pH = 4.745 + \log(0.05/0.0667) = 4.745 - 0.125 = 4.62\).
Teacher's Note:
1. Henderson's equation.
(a) 8.56
(b) 4.74
(c) 9.26
(d) 5.44
Show Answer & Explanation
Answer: (a) 8.56
Explanation:
1. BOH = 0.5 mmol, BCl = 2.5 mmol.
2. \(pOH = pK_b + \log(2.5/0.5) = 4.745 + 0.70 = 5.44\), so pH = 8.56.
Teacher's Note:
1. Basic buffer: use pOH.
(a) 0.1 M
(b) 0.002 M
(c) 0.02 M
(d) 0.2 M
Show Answer & Explanation
Answer: (c) 0.02 M
Explanation:
1. After mixing, [HA] = 0.1 M.
2. \(4 = 5 + \log([A^-]/0.1)\) gives \([A^-] = 0.01\) M after mixing, i.e. 0.02 M before mixing.
Teacher's Note:
1. Allow for the doubling of volume.
(a) 9.26, 9.74, 8.78
(b) 9.26, 10.0, 8.5
(c) 9.26, 8.78, 9.74
(d) 9.26, 9.26, 9.26
Show Answer & Explanation
Answer: (a) 9.26, 9.74, 8.78
Explanation:
1. Initially \(pOH = 4.74\), pH = 9.26.
2. With OH\(^-\): NH\(_4^+\) = 0.05 mol, NH\(_3\) = 0.15 mol, \(pOH = 4.74 + \log(1/3)\) so pH = 9.74.
3. With H\(^+\): NH\(_4^+\) = 0.15 mol, NH\(_3\) = 0.05 mol, pH = 8.78.
Teacher's Note:
1. Base converts NH\(_4^+\) to NH\(_3\) and raises pH.
(a) addition of a small amount of NaOH
(b) addition of a small amount of HCl
(c) none of these
(d) addition of a small amount of water
Show Answer & Explanation
Answer: (c) none of these
Explanation:
1. It is a buffer, so small amounts of acid, base or water do not change the pH significantly.
Teacher's Note:
1. Buffers resist small additions.
(a) 1 mol NH\(_4\)OH and 1 mol NaOH
(b) 1 mol CH\(_3\)COOH and 0.5 mol NaOH
(c) 1 mol CH\(_3\)COOH and 1 mol HCl
(d) 1 mol NH\(_4\)Cl and 1 mol HCl
Show Answer & Explanation
Answer: (b) 1 mol CH\(_3\)COOH and 0.5 mol NaOH
Explanation:
1. Half-neutralised acetic acid leaves 0.5 mol CH\(_3\)COOH and 0.5 mol CH\(_3\)COO\(^-\), a buffer.
2. The other mixtures contain two bases, two acids, or an acid with a strong acid.
Teacher's Note:
1. Need both a weak acid and its conjugate base.
(a) 1 : 2
(b) no ratio gives a buffer
(c) 1 : 1
(d) 2 : 1
Show Answer & Explanation
Answer: (d) 2 : 1
Explanation:
1. A buffer needs excess NH\(_4\)OH after partial neutralisation.
2. At 2 : 1, half of the base is neutralised, leaving equal NH\(_3\) and NH\(_4^+\).
Teacher's Note:
1. The weak base must be in excess.
(a) 4 + log 2
(b) 4 - log 2
(c) 10 + log 2
(d) 10 - log 2
Show Answer & Explanation
Answer: (d) 10 - log 2
Explanation:
1. \(pK_a = 14 - 4 = 10\).
2. \(pH = 10 + \log(0.1/0.2) = 10 - \log 2\).
Teacher's Note:
1. Convert \(pK_b\) to \(pK_a\) first.
(a) 10 mL
(b) 4 mL
(c) 2 mL
(d) 8 mL
Show Answer & Explanation
Answer: (c) 2 mL
Explanation:
1. \(pK_a = 9.3\), so \(\log([CN^-]/[HCN]) = -0.3\) and the ratio is 0.5.
2. CN\(^-\) needed = 0.5 x 20 mmol = 10 mmol, i.e. 2 mL of 5 M.
Teacher's Note:
1. The ratio is independent of total volume.
(a) 0.025 mol
(b) 0.05 mol
(c) 0.005 mol
(d) 0.10 mol
Show Answer & Explanation
Answer: (a) 0.025 mol
Explanation:
1. \(8.26 = 9.26 + \log([NH_3]/[NH_4^+])\) gives \([NH_4^+] = 10[NH_3]\).
2. NH\(_3\) = 0.005 mol, so NH\(_4^+\) = 0.05 mol.
3. Each (NH\(_4\))\(_2\)SO\(_4\) gives 2 NH\(_4^+\), so 0.025 mol is needed.
Teacher's Note:
1. Remember two NH\(_4^+\) per formula unit.
(a) \(1.8 \times 10^{-5}\)
(b) \(8 \times 10^{-5}\)
(c) \(8 \times 10^{-6}\)
(d) \(1.8 \times 10^{-6}\)
Show Answer & Explanation
Answer: (c) \(8 \times 10^{-6}\)
Explanation:
1. Total acid = 2.7 mmol; base added = 1.2 mmol, leaving 1.5 mmol HA.
2. \(5 = pK_a + \log(1.2/1.5)\), so \(pK_a = 5.097\).
3. \(K_a = 8 \times 10^{-6}\).
Teacher's Note:
1. The end-point volume gives the total acid.
(a) 62 mL
(b) 31 mL
(c) 93 mL
(d) 46.5 mL
Show Answer & Explanation
Answer: (b) 31 mL
Explanation:
1. \(4.5 = 4.2 + \log(V_s/V_a)\) gives \(V_s/V_a = 2\).
2. \(V_a + V_s = 93\), so \(V_a = 31\) mL.
Teacher's Note:
1. Equal molarity means volume ratio equals mole ratio.
(a) 9.5
(b) 4.5
(c) 2.5
(d) 7.0
Show Answer & Explanation
Answer: (a) 9.5
Explanation:
1. At 50% ionisation \([A^-] = [HA]\), so pH = 4.5.
2. pOH = 14 - 4.5 = 9.5.
Teacher's Note:
1. Half ionised means pH equals \(pK_a\).
(a) 1 : 10
(b) 10 : 1
(c) 5 : 4
(d) 4 : 5
Show Answer & Explanation
Answer: (b) 10 : 1
Explanation:
1. \(6 = 5 + \log([salt]/[acid])\), so the ratio is 10.
Teacher's Note:
1. Henderson's equation.
(a) 9.25
(b) 3.75
(c) 8.25
(d) 4.75
Show Answer & Explanation
Answer: (a) 9.25
Explanation:
1. NH\(_3\) = 10 mmol; HCl = 5 mmol, leaving 5 mmol NH\(_3\) and forming 5 mmol NH\(_4^+\).
2. \(pOH = pK_b = 4.75\), so pH = 9.25.
Teacher's Note:
1. Half neutralisation of a weak base.
(a) 9.4
(b) 5.0
(c) 9.0
(d) 5.2
Show Answer & Explanation
Answer: (c) 9.0
Explanation:
1. H\(^+\) = 4 mmol; NH\(_4\)OH = 6 mmol, leaving 2 mmol NH\(_3\) and forming 4 mmol NH\(_4^+\).
2. \(pOH = 4.7 + \log(4/2) = 5.0\), so pH = 9.0.
Teacher's Note:
1. Count both protons of H\(_2\)SO\(_4\).
(a) \(4 \times 10^{-6}\)
(b) \(1.6 \times 10^{-8}\)
(c) \(8 \times 10^{-6}\)
(d) \(3.2 \times 10^{-8}\)
Show Answer & Explanation
Answer: (d) \(3.2 \times 10^{-8}\)
Explanation:
1. \(K_{sp} = 4s^3 = 4 \times (2 \times 10^{-3})^3 = 3.2 \times 10^{-8}\).
Teacher's Note:
1. PbCl\(_2\) is an AB\(_2\) salt.
(a) AgI > AgBr > AgCl
(b) AgCl > AgI > AgBr
(c) AgCl > AgBr > AgI
(d) AgBr > AgCl > AgI
Show Answer & Explanation
Answer: (c) AgCl > AgBr > AgI
Explanation:
1. All are 1:1 salts, so the order of solubility follows that of \(K_{sp}\).
Teacher's Note:
1. Same type of salt: compare \(K_{sp}\).
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Multiple Choice Questions (MCQs) for JEE Chemistry Ionic Equilibrium
Download Multiple Choice Questions: Ionic Equilibrium (JEE Chemistry)
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FAQs
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