Determine the solubility of \(Bi_2S_3\) in water, with \(\mathrm{K}_{\mathrm{sp}}\left(\mathrm{Bi}_{2} \mathrm{~S}_{3}\right)=1.08 \times 10^{-73} \text {} \), and express the answer in the form \(x\times 10^{-15} \). What is the value of \(x\)?

1. 3
2. 5
3. 6
4. 1

Subtopic:  Solubility Product |
 84%
Level 1: 80%+
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If 200 mL of 0.01 M HCl is mixed with 400 mL of 0.01 M H2SO4, what is the pH of the resulting mixture?
(Given: log 2 = 0.30, log 3 = 0.48, log 5 = 0.70, log 7 = 0.84, log 11 = 1.04)

1. 1.14
2. 1.78
3. 2.34
4. 3.02
Subtopic:  pH calculation |
 74%
Level 2: 60%+
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Given below are two statements:
Statement I:  According to Lewis's concept, H2O acts as an amphoteric substance.
Statement II: H2O act as an acid on reaction with NH3, while it acts as a base on reaction with H2S.
In light of the above statements choose the correct answer from the options given below:
1. Both Statement I and Statement II  are correct. 
2. Both Statement I and Statement II  are incorrect.
3. Statement I is correct and Statement II is incorrect.
4. Statement I is incorrect and Statement II is correct.
Subtopic:  Acids & Bases - Definitions & Classification |
Level 4: Below 35%
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When 50 mL, 0.1 M CH3COOH (aq.) is titrated with 25 mL of 0.1 M NaOH (aq) solution. What is the value of the pH of the resulting solution?

[Given: pKa=4.76]

1. 3.76
2. 6.76
3. 4.76
4. 5.76
Subtopic:  pH calculation | Buffer |
 80%
Level 1: 80%+
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The dissociation of \(\mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_{2}(\mathrm{~g})\)  is observed at 298 K and 1 atm, with 50% dissociation at equilibrium. What would be the value of the standard Gibbs free energy change, (\(\Delta G^o\))?
1. -684.7 J  2. 684.7 J 
3. -342.35 J  4. 342.35 J 
Subtopic:  Kp, Kc & Factors Affecting them |
 60%
Level 2: 60%+
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pH of a buffer solution of \(CH_3CH_2COOH(aq.)~\&~CH_3CH_2COONa(aq.) \) is 4.
Then, the ratio of \(\frac{[CH_3CH_2COO^-]}{[CH_3CH_2COOH]}\) is-
(Given \(K_a=10^{-5} \))

1.  0.1
2.  10
3.  0.2
4.  20
Subtopic:  pH calculation |
 70%
Level 2: 60%+
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For an equilibrium reaction :
\(A \rightleftharpoons B+\frac{1}{2} C \)
The correct relation between the degree of dissociation\((\alpha)\), equilibrium pressure(p) and equilibrium constant(\(K_p\)) is : 
1. \(K_p =\frac{\alpha^{1 / 2} 2 p^{1 / 2}}{(2+\alpha)^{1 / 2}} \)
2. \(K_p =\frac{\alpha^{1 / 2} p^{3 / 2}}{(2+\alpha)^{3 / 2}}\)
3. \(K_p =\frac{\alpha^{1 / 2} 2 p^{1 / 2}}{(2+\alpha)^{3 / 2}}\)
4. \(K_p =\frac{\alpha^{3 / 2} p^{1 / 2}}{(2+\alpha)^{1 / 2}(1-\alpha)}\)
Subtopic:  Introduction To Equilibrium | Kp, Kc & Factors Affecting them |
 66%
Level 2: 60%+
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The pH of 0.001 M NaOH solution will be:

1. 3
2. 11
3. -3
4. 2
Subtopic:  pH calculation |
 89%
Level 1: 80%+
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Initially 2 moles of \(NOCl \) taken in 1 L of closed container and it dissociates into NO and Cl2 gas:
The reaction is as follows:
\(2 \mathrm{NOCl}(g) \rightleftharpoons 2 \mathrm{NO}(g)+\mathrm{Cl}_2(g)\)

Calculate the equilibrium constant \(K_c\) given that 0.4 moles of NO is obtained at equilibrium:
1. 142 × 10-4 2. 142 × 10-6
3. 125 × 10-4 4. 130 × 104
Subtopic:  Introduction To Equilibrium |
 82%
Level 1: 80%+
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For a hypothetical reaction
A ⇋ B ; Keq = 102
(Use T = 27 °C, R = 8.3 JK−1mol−1, ln10 = 2.3)
If the value of ∆G° for the above reaction is −x kJ, the value of 2x will be: 
(Round off to the nearest integer)

1. 11
2. 19
3. 23
4. 28
Subtopic:  Kp, Kc & Factors Affecting them |
 77%
Level 2: 60%+
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