An aqueous solution contains 0.10 M H2S and 0.20 M HCl. If the equilibrium constant for the formation of HS from H2S is 1.0 × 10–7 and that of S2– from HS ions is 1.2 × 10–13 then the concentration of S2– ions in aqueous solution will be:

1. 5 × 10–8 M

2. 3 × 10–20 M

3. 6 × 10–21 M

4. 5 × 10–19 M

Subtopic:  Ionisation Constant of Acid, Base & Salt |
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Level 2: 60%+
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For a weak acid HA with a degree of dissociation x, which of the following gives the correct expression for \((\text{pH} - \text{pKa})\)?
1. log (1+2x) 2. \(\log \left(\dfrac{1-x}{x}\right)\)
3. 0 4. \(\log \left(\dfrac{x}{1-x}\right)\)
Subtopic:  Ionisation Constant of Acid, Base & Salt |
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Level 2: 60%+
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Given that the pH of a 0.1 M solution of acid HQ is 3, the ionization constant \(K_a\) of the acid is:

1. 1 × 10–3 2. 1 × 10–5
3. 1 × 10–7 4. 3 × 10–1
Subtopic:  Ionisation Constant of Acid, Base & Salt |
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At \(\mathrm{298~K},\) The equilibrium constant is \(2 \times10^{15}\) for the reaction: \(\mathrm{Cu}(\mathrm{s})+2 \mathrm{Ag}^{+}(\mathrm{aq}) \rightleftharpoons \mathrm{Cu}^{2+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})\).
If the equilibrium constant for the reaction \(\frac{1}{2} \mathrm{Cu}^{2+}(\mathrm{aq})+\mathrm{Ag}(\mathrm{s}) \rightleftharpoons \frac{1}{2} \mathrm{Cu}(\mathrm{s})+\mathrm{Ag}^{+}(\mathrm{aq})\) is \(x \times 10^{-8}\), then find the value of \(\mathrm{x}\) in nearest integer form:

1. Eight (8)
2. Five (5)
3. Six (6)
4. Two (2)
Subtopic:  Ionisation Constant of Acid, Base & Salt |
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What is the number of moles of \(NH_3\) that must be added to \(2L\) of \(0.8~M~AgNO_3\) in order to reduce the concentration of \(Ag^+\) ions to \(5.0 \times 10^{-8} \mathrm{M}\) ? [Assume no volume change on adding \(NH_3]\)
[Given : \(\mathrm{K}_{\text {formation }} \text { for }\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+}=1.0 \times 10^8\)]

[Report your answer in the nearest integer] 
1. Two (2)
2. Four (4)
3. Eight (8)
4. One (1)
Subtopic:  Ionisation Constant of Acid, Base & Salt |
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Level 2: 60%+
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Sodium oxide reacts with water to produce sodium hydroxide. If \(200 ~\text{g}\) of sodium oxide is dissolved in \(500 ~\text{mL}\) of water, then what is the concentration of the resulting \(\text{NaOH}\) solution?
[Note: Neglect the change in volume]
[Atomic mass; \(\mathrm{Na=23.0,O=16.0,H=1.0]}\)

1. 11
2. 12
3. 13
4. 14
Subtopic:  Ionisation Constant of Acid, Base & Salt |
Level 3: 35%-60%
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Which one of the following compounds will liberate \(\mathrm{CO}_2,\) when treated with \(\mathrm{NaHCO}_3 \text { ? }\)

1. \(\left(\mathrm{CH}_3\right)_3 \stackrel{\oplus}{\mathrm{N}} \mathrm{H} ~\mathrm {Cl^-}\)
2. \(\mathrm{CH}_3 \mathrm{CO} \mathrm{NH}_2 \)
3. \(\mathrm{CH}_3 \mathrm{NH}_2\)
4. \(\left(\mathrm{CH}_3\right)_4 \stackrel{\oplus}{\mathrm{N}}{\mathrm{OH}^-}\)
Subtopic:  Ionisation Constant of Acid, Base & Salt |
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Determine the concentration of H3O+ ions in a 0.005 M aqueous solution of Ba(OH)at 298 K, where Ba(OH)2 is in a fully ionized state.
1. 5 × 10 –12 mol L–1 2. 50 × 10 –12 mol L–1
3. 1 × 10 –12 mol L–1 4. 100 × 10 –12 mol L–1
Subtopic:  Ionisation Constant of Acid, Base & Salt |
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Level 2: 60%+
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\(0.01\) moles of a weak acid \(HA (K_a = 2.0 × 10^{–6} )\) is dissolved in \(1.0 ~L ~\text{of}~ 0.1~ M~ HCl\) solution. If the degree of dissociation of \(HA\) is \(x × 10^{–5}\) , find the value of \(x\) (rounded off to the nearest integer):
[Note: Neglect volume change on adding \(HA.\)]

1. One (1)
2. Two (2)
3. Three (3)
4. Four (4)
Subtopic:  Ionisation Constant of Acid, Base & Salt | Acids & Bases - Definitions & Classification |
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What is the \(\text{pH}\) of \(0.588 ~\text M\) Sulfurous acid \((H_2SO_3)\), if it has \(Ka_1 = 1.7 × 10^{–2}\) and \(Ka_2 = 6.4 × 10^{–8} \)?

1. 1
2. 10
3. 6
4. 13
Subtopic:  Ionisation Constant of Acid, Base & Salt | pH calculation |
Level 4: Below 35%
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