The solution with pH value close to 1.0 among the following is:

1.	100 ml of (M/10) HCl + 100 ml of (M/10) NaOH
2.	55 ml of (M/10) HCl + 45 ml of (M/10) NaOH
3.	10 ml of (M/10) HCl + 90 ml of (M/10) NaOH
4.	85 ml of (M/10) HCl + 15 ml of (M/10) NaOH

Given the following equilibrium reactions:

Ag⁺ + 2NH₃ ⇌ [Ag(NH₃)₂]⁺  K₁ = 1.8 × 10⁷

Ag⁺ + Cl⁻ ⇌ AgCl(s)  K₂ = 5.6 × 10⁹

Calculate the equilibrium constant for the reaction:

AgCl(s) + 2NH₃ ⇌ [Ag(NH₃)₂]⁺ + Cl⁻

Three sparingly soluble salts A₂X, AX, and AX₃ have the same solubility product. Their solubilities will be in the order:

1. AX₃>AX>A₂X

2. AX₃ < A₂X>AX

3. AX>AX₃>A₂X

4. AX>A₂X>AX₃

Find the solution(s) having a pH between 6 and 7.

I. 2 × 10⁻⁶ M NaOH
II. 2 × 10⁻⁶ M HCl
III. 10⁻⁸ M HCl
IV. 10⁻¹³ M NaOH

At what pH does Mg(OH)₂ start to precipitate from a solution with 0.10 M Mg²⁺ ions, given that the \(K_{sp}\) of Mg(OH)₂ is 1 × 10⁻¹¹?

1. Three (3)

2. Six (6)

3. Nine (9)

4. Eleven (11)

50 litres of 0.1 M HCl are mixed with 50 litres of 0.2 M NaOH. The pH of the resulting solution will be:

The pH of a 0.05 M aqueous solution of diethylamine is 12. Its K_b value will be:

1. $2\times {10}^{-3}$

2. $2.5\times {10}^{-3}$

3. $3\times {10}^{-3}$

4. $4.5\times {10}^{-3}$

K_a for HCN is $5\times {10}^{-10}$ at $25°\mathrm{C}$. For maintaining a constant pH of 9, the volume of 5 M KCN solution required to be added to 10 mL of 2 M HCN solution is-

1. 2 mL

2. 3 mL

3. 4.2 mL

4. 5.6 mL

The approximate pH of a solution formed by mixing equal volumes of solutions of 0.1 M sodium propionate and 0.1 M propanoic acid (the dissociation constant of propanoic acid is \(1.3 \times 10^{-5}~ \text {mol dm}^{-3}\)${\mathrm{}}^{}$)  will be:

The dissociation constant of acetic acid is \(1 . 6 \times 10^{- 5}\). The degree of dissociation \(\left(\right. \alpha \left.\right)\) of 0.01 M acetic acid in the presence of 0.1 M HCl is equal to: 

1. \(1.6 \times 10^{-3}\)
2. \(1.6 \times 10^{-1}\)
3. \(1.6 \times 10^{-6}\)
4. \(1.6 \times 10^{-4}\)