Equilibrium

Phosphoric acid ionizes in three steps with their ionization constant values \({\mathrm{K}}_{{\mathrm{a}}_{1}},{\mathrm{K}}_{{\mathrm{a}}_{2}}\) and \({\mathrm{K}}_{{\mathrm{a}}_{3}}\), respectively, while K is the overall ionization constant. Which of the following statements are true?

A. \(\log K=\log {K}_{{a}_{1}}+\log {K}_{{a}_{2}}+\log {K}_{{a}_{3}}\)
B. \({\mathrm{H}}_{3}{\mathrm{PO}}_{4}\) is a stronger acid than \({\mathrm{H}}_{2}{\mathrm{PO}}_{4}^{-}\)and \({\mathrm{HPO}}_{4}^{2-}\)

\(\mathrm{C}.{\mathrm{K}}_{{\mathrm{a}}_{1}}>{\mathrm{K}}_{{\mathrm{a}}_{2}}>{\mathrm{K}}_{{\mathrm{a}}_{3}}\\ \mathrm{D}.{\mathrm{K}}_{{\mathrm{a}}_{1}}=\frac{{\mathrm{K}}_{{\mathrm{a}}_{3}}+{\mathrm{K}}_{{\mathrm{a}}_{2}}}{2}\)

Choose the correct answer from the options given below

[NEET 2025]

Consider the following reaction in a sealed vessel at equilibrium with concentrations of \({N}_{2}=3.0\times {10}^{-3}M,{O}_{2}=4.2\times {10}^{-3}M\) and \(NO=2.8\times {10}^{-3}M\).
\(2N{O}_{(g)}⇌{N}_{2(g)}+{O}_{2(g)}\)

If \(0.1mol{L}^{-1}\) of \(N{O}_{(g)}\) is taken in a closed vessel, what will be degree of dissociation \((\alpha )\) of \(N{O}_{(g)}\) at equilibrium?

At a given temperature and pressure, the equilibrium constant values for the equilibria are given below:
\(3{A}_{2}+{B}_{2}⇌2{A}_{3}B,{K}_{1}\\ {A}_{3}B⇌\frac{3}{2}{A}_{2}+\frac{1}{2}{B}_{2},{K}_{2}\)

The relation between \(K _1\) and \(K _2\) is :

For the reaction \(2\mathrm{A}⇌\mathrm{B}+\mathrm{C},{\mathrm{K}}_{\mathrm{c}}=4\times {10}^{-3}\). At a given time, the composition of reaction mixture is :

[A]=[B]=[C]=\(2\times {10}^{-3}\) M

Then, which of the following is correct?

[NEET 2024]

For the reaction \(2\mathrm{A}⇌\mathrm{B}+\mathrm{C},{\mathrm{K}}_{\mathrm{c}}=4\times {10}^{-3}\). At a given time, the composition of reaction mixture is

[A] = [B] = [C] = \(2\times {10}^{-3}\) M

Then, which of the following is correct?

[NEET 2024]

At a given temperature and pressure, the equilibrium constant values for the equilibria are given below

\(3{A}_{2}+{B}_{2}⇌2{A}_{3}B,{K}_{1}\\ {A}_{3}B⇌\frac{3}{2}{A}_{2}+\frac{1}{2}{B}_{2},{K}_{2}\)

The relation between \(K _1\) and \(K _2\) is

[NEET 2024]

In which of the following equilibria, \({K}_{p}\) and \({K}_{c}\) are not equal?

[NEET 2024]

Consider the following reaction in a sealed vessel at equilibrium with concentrations of \({N}_{2}=3.0\times {10}^{-3}M,{O}_{2}=4.2\times {10}^{-3}M\) and \(NO=2.8\times {10}^{-3}M\).
\(2N{O}_{(g)}⇌{N}_{2(g)}+{O}_{2(g)}\)

If \(0.1mol{L}^{-1}\) of \(N{O}_{(g)}\) is taken in a closed vessel, what will be degree of dissociation \((\alpha )\) of \(N{O}_{(g)}\) at equilibrium?

[NEET 2024]

The ratio of solubility of \(AgCl\) in \(0.1 M ~KCl\) solution to the solubility of \(AgCl\) in water is
(Given : Solubility product of \(AgCl =10^{-10}\) )

[Re-NEET 2024]

In which of the following equilibria, \({K}_{p}\) and \({K}_{c}\) are not equal?

[NEET 2024]

Which indicator is used in the titration of sodium hydroxide against oxalic acid and what is the colour change at the end point?

[Re-NEET 2024]

The ratio of solubility of \(AgCl\) in \(0.1 M ~KCl\) solution to the solubility of \(AgCl\) in water is
(Given : Solubility product of \(AgCl =10^{-10}\) )

[Re-NEET 2024]

The value of \({K}_{C}\) is 64 at 800K for the reaction

\({\mathrm{N}}_{2}(\mathrm{g})+3{\mathrm{H}}_{2}(\mathrm{g})⇌2{\mathrm{NH}}_{3}(\mathrm{g})\)

The value of \({\mathrm{K}}_{\mathrm{C}}\) for the following reaction is:

\({\mathrm{NH}}_{3}(\mathrm{g})⇌\frac{1}{2}{\mathrm{N}}_{2}(\mathrm{g})+\frac{3}{2}{\mathrm{H}}_{2}(\mathrm{g})\)

[JEE Main 2020, 6 Sep (Shift 2)]

The \( \mathrm{pK}_{\mathrm{b}} \) of dimethylamine and \( \mathrm{pK}_{\mathrm{a}} \) of acetic acid are \( 3.27 \) and \( 4.77 \) respectively at \( \mathrm{T}(\mathrm{K}) \). The correct option for the \( \mathrm{pH} \) of dimethylammonium acetate solution is

[NEET 2021]

The equilibrium concentrations of the species in the reaction \(\mathrm{A}+\mathrm{B} \rightleftharpoons \mathrm{C}+\mathrm{D}\) are 2,3,10 and \(6 \mathrm{~mol}\) \(\mathrm{L}^{-1}\), respectively at \(300 \mathrm{~K} . \Delta \mathrm{G}^0\) for the reaction is ( \(\mathrm{R}=2 \mathrm{cal} / \mathrm{mol} \mathrm{K}\) )

[NEET 2023]

25 mL of silver nitrate solution (1 M ) is added dropwise to 25 mL of potassium iodide (1.05 M ) solution. The ion(s) present in very small quantity in the solution is/are

[JEE Main 2023, 11 Apr (Shift 1)]

For the reaction

\({\mathrm{Fe}}_{2}\mathrm{N}(\mathrm{s})+\frac{3}{2}{\mathrm{H}}_{2}(\mathrm{g})=2\mathrm{Fe}(\mathrm{s})+{\mathrm{NH}}_{3}(\mathrm{g})\)

[JEE Main 2020, 6 Sep (Shift 1)]

Find out the solubility of \( \mathrm{Ni}(\mathrm{OH})_{2} \) in 0.1M NaOH. Given that the ionic product of \( \mathrm{Ni}(\mathrm{OH})_{2} \) is \( 2 \times 10^{-15} \)

[NEET 2020]

At \( 80^{\circ} \mathrm{C} \), distilled water has \( \left[\mathrm{H}_{3} \mathrm{O}^{+}\right] \)concentration equal to \( 1 \times 10^{-6} \mathrm{~mole} / \mathrm{litre} \). The value of \( K_{w} \) at this temperature will be:

Amongst the given options which of the following molecules/ion acts as a Lewis acid?

[NEET 2023]

An acidic buffer is obtained on mixing:

[JEE Main 2020, 3 Sep (Shift 1)]

The compound whose water solution has the highest \( \mathrm{pH} \) is

\( \mathrm{pH} \) of a saturated solution of \( \mathrm{Ca}(\mathrm{OH})_{2} \) is 9. The solubility product \( \left(K_{s p}\right) \) of \( \mathrm{Ca}(\mathrm{OH})_{2} \) is
[NEET 2019]

Which among the following salt solutions is basic in nature?

[Re-NEET 2020]

The solubility product for a salt of the type AB is \(4\times {10}^{-8}\). What is the molarity of its standard solution?
[Re-NEET 2020]