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Latest Ionic Equilibria MCQ Objective Questions

Top Ionic Equilibria MCQ Objective Questions

Ionic Equilibria Question 1:

What will be the pH of a buffer solution, prepared by mixing of 10 mL of 0.1 M acetic acid and 10 mL of 0.01 M sodium acetate?(pKa of acetic acid = 4.76) 

  1. Approximately 2.6
  2. Approximately 3.8
  3. Approximately 4.2
  4. Approximately 5.8

Answer (Detailed Solution Below)

Option 2 : Approximately 3.8

Ionic Equilibria Question 1 Detailed Solution

According to Henderson – Hasselbalch equation:

pH = pKa + log \(\rm \frac{[Salt]}{[acid]}\)

pKa = 4.6

Therefore, 

pH = 4.6 + log \(\frac{0.01}{0.1}\)

= 4.6 - 1 = 3.6

ph ∼ 3.8

Ionic Equilibria Question 2:

In acid base titration the color change of an indicator is expressed by:

\(pH=pK_{In}^{'}+log\frac{[In_B]}{[In_A]}\)

(Where InB = Indicator in the basic form, InA = indicator in acid form) The basic color of the indicator would be visible when:

  1. [InB] / [InA] > 10
  2. [InB] / [InA] < 10
  3. [InA] / [InB] > 10
  4. [InB] = [InA]

Answer (Detailed Solution Below)

Option 4 : [InB] = [InA]

Ionic Equilibria Question 2 Detailed Solution

:The basic colour of the indicator is visible when the concentration of InB is equal to InA

We represent general indicator by the formula HIn

Its ionization in solution will be, HIN ⇋ H+ + In-

we define equilibrium constant as,  

\(\rm K_{ai}=\frac{[H^+][In^-]}{[HIn]}\)

upon rearranging and taking logarithms we get,

-log Kai = -log [H+] - \(\rm \log\frac{[In^-]}{[HIn]}\)

pKai = pH - \(\rm \log\frac{[In^-]}{[HIn]}\)

Thus, when [In-] = [HIn], we have pKai = pH

That means, when the two forms have equal concentration, the color change is most noticeable. When [H+] is greater than 10 K'ai In-  color dominates, whereas color due to HIn dominates if [H+ ] < Kai/10

Note, here In- and HIn represents InB and InA respectively.

Ionic Equilibria Question 3:

What will be the pH of a buffer solution containing 0.20 mole of NH4OH and 0.25 mole of NH4Cl per litre?

(Dissociation constant of NH4OH at room temperature is 1.81 × 10-5, log1.81 = 0.2577 and log1.25 = 0.0969)

  1. 9.161
  2. 9.521
  3. 8.161
  4. 9.312

Answer (Detailed Solution Below)

Option 1 : 9.161

Ionic Equilibria Question 3 Detailed Solution

According to Henderson – Hasselbalch equation:

pOH = pKb + log \(\rm \left(\frac{[salt]}{[base]}\right)\)

pKb = -log Kb = − log 1.81 × 10-5 = 4.7423

Therefore,

pOH = 4.7423 + log \(\left(\frac{0.25}{0.2}\right)\)

= 4.7423 + 0.0969 = 4.821

ph = 14 - pOH = 14 – 4.821 = 9.17

Hence the pH of a buffer solution is 9.17

Ionic Equilibria Question 4:

Which one of the following has the pH value NOT equal to one?

  1. 0.1 M HNO3
  2. 0.05 M H2SO4
  3. 0.1 M CH3COOH
  4. 50 ml of 0.4 M HCl + 50 ml of 0.2 M NaOH

Answer (Detailed Solution Below)

Option 3 : 0.1 M CH3COOH

Ionic Equilibria Question 4 Detailed Solution

pH = −log[H+]

(a) value of pH = 0.1M HNO= −log [0.1] =1

(b) Value of pH =0.05 H2SO4= −log [2 × 0.05] =1

(c) Value of pH = 0.1M CH3COOH ≠ 1 as it is a weak acid so, will not undergo complete ionization.

(d) Milli-equivalent of acid = 50 × 0.4 = 20

Milli-equivalent of base = 50 × 0.2 = 10

Remaining acid = 20 −10 = 10 milli-eq.

[H+ ] = 1050 + 50 = 10100 = 0.1

pH = −log[H+] =1.

Ionic Equilibria Question 5:

What will be the value of pOH of 0.03M aqueous solution of HCl at 25°C?

(Given log 0.03 = -1.52)

  1. 12.21
  2. 12.48
  3. 11.48
  4. 10.48

Answer (Detailed Solution Below)

Option 2 : 12.48

Ionic Equilibria Question 5 Detailed Solution

Since HCl is a strong acid, it will dissociate completely into it's ions at equilibrium. The dissociation of HCl in aqueous medium is given by: 

qImage65edce03958e67863518f3fa

Given C = 0.03M

pH = -log[H+] = -log[H3O+]

= -log[0.03]

= -log[3 × 10-2]

= 2 – 0.48

= 1.53

We Know, pH + pOH = 14

pOH = 14 – 1.53

pOH = 12.48

Ionic Equilibria Question 6:

Which one of the following statements regarding acid-base property is NOT correct?

  1. pH + pOH = 14, for all aqueous solutions
  2. The pH of 10-8 (M) HCl solution is 8
  3. The conjugate base of H2\(PO_4^-\) is \(HPO_4^{2-}\)
  4. H2SO4 is a strong acid in aqueous solution

Answer (Detailed Solution Below)

Option 2 : The pH of 10-8 (M) HCl solution is 8

Ionic Equilibria Question 6 Detailed Solution

Since HCl is a strong acid, so its pH will be less than 7.

The concentration of HCl = 10−8 M

Total [H+ ] =[H+ ] obtained from HCl +[H+ ] obtained from H2O[H+ ]

HCl being a strong acid, it completely ionizes.

[H+ ] HCl = 1.0 × 10−8

The concentration of H+ from ionization is equal to that of OH from water, so let us consider it to be ‘x’

.[H+] from H2O = [OH ] from H2O = x

Total [H+] = x + 1.0× 1 0-8  …(1)

But we know

[H+] [OH-] = 1.0× 10-14

(1.0 × 10-8x + x) (x) = 1.0 × 10-14

x2 + 10-8 x - 10-14 = 0

Solving x, we get

x = 9.5 × 10-8

Substituting x value in equation (1)

Total, [H+] = 9.5 × 10-8 + 1.0 × 10-8

Total, [H+] = 1.05 × 10-7

Consider an equation

⇒ pH = − log [H+ ]

⇒ pH = − log [1.05×10−7 ]

pH = 6.98

H2PO4− → HPO4−2 + H+ , conjugate base of H2PO4 is HPO4−2

H2SO4 ionizes completely in water and thus, is a strong acid.

The equation pH + pOH = 14 is true at 25ºC for aqueous solutions, but it is not true at other temperatures.

Ionic Equilibria Question 7:

What will be the hydrogen ion concentration of a solution obtained by mixing 500 ml of 0.20 M acetic acid and 500 ml of 0.30 M sodium acetate?

Dissociation constant of acetic acid = 1.75 × 10-5)

  1. 2.75 × 10-5 mol.dm-3
  2. 1.17 × 10-5 mol.dm-3
  3. 3.50 × 10-5 mol.dm-3
  4. 1.75 × 10-3 mol.dm-3

Answer (Detailed Solution Below)

Option 2 : 1.17 × 10-5 mol.dm-3

Ionic Equilibria Question 7 Detailed Solution

Number of m.moles of Acetic Acid in the mixture = (500 × 0.2)= 100

Number of m.moles of CH3-COONa in the mixture= (500 × 0.3)= 150

CH3COOH + NaOH ⟶ CH3COONa + H2O

One mole of CH3COOH reacts with One mole of NaOH

Thus, the excess CH3COOH = (150-100) moles = 150 moles

Therefore,

pH= pKa + log (Salt/Acid)

pH = -log (1.75×10-5 ) + log (150/100)

pH= 4.757 + log (1.5)

pH= 4.75 + 0.176

pH = 4.926 = -log [H+ ]

[H+ ] = 1.17 × 10-5 mol.dm–3

Ionic Equilibria Question 8:

A solution is obtained by mixing 10 ml of 0.2 N KOH solution with 30 ml of 0.1 N CH3COOH. The pH of the solution would be:

(Given: pKa of CH3COOH = 4.75; log 2 = 0.30)

  1. 5.301
  2. 5.05
  3. 4.699
  4. 4.398

Answer (Detailed Solution Below)

Option 2 : 5.05

Ionic Equilibria Question 8 Detailed Solution

Number of m.moles of KOH in the mixture = (10 × 0.2)= 2

Number of m.moles of CH3-COOH in the mixture= (30 × 0.1)= 3

CH3COOH + KOH ⟶ CH3COOK + H2O

One mole of CH3COOH reacts with One mole of KOH

Thus, the excess CH3COOH = (0.003 – 0.002) moles = 0.001 moles

Therefore

pH = pKa + log salt/acid

pH = 4.75 + log 2/1

pH = 4.75+ log2

pH = 4.75 + 0.30

pH = 5.05

Ionic Equilibria Question 9:

Which one among the following mixtures gives a buffer solution in water?

  1. CH3COOH + CH3COONa
  2. CH3COOH + NaCl
  3. NaOH + NaCl
  4. NaOH + CH3COONa

Answer (Detailed Solution Below)

Option 1 : CH3COOH + CH3COONa

Ionic Equilibria Question 9 Detailed Solution

CONCEPT:

Buffer Solution

  • A buffer solution is a solution that resists changes in pH upon the addition of small amounts of acid or base.
  • Buffers are typically made by mixing a weak acid with its conjugate base, or a weak base with its conjugate acid.
  • The presence of both the weak acid (or base) and its conjugate form allows the buffer to neutralize added H⁺ or OH⁻ ions, stabilizing the pH.

EXPLANATION:

  • Option 1:

    CH₃COOH + CH₃COONa

    This combination forms a buffer. CH₃COOH is a weak acid, and CH₃COONa provides the conjugate base (CH₃COO⁻) in solution. Together, they maintain a stable pH when small amounts of acid or base are added.

  • Option 2:

    CH₃COOH + NaCl

    This does not form a buffer. NaCl is a neutral salt and does not provide a conjugate base to pair with CH₃COOH, so it does not resist pH changes.

  • Option 3:

    NaOH + NaCl

    This combination does not form a buffer. NaOH is a strong base and does not pair with NaCl to provide a weak acid-base conjugate pair.

  • Option 4:

    NaOH + CH₃COONa

    This does not form a buffer, as there is no weak acid in the mixture to pair with the acetate ion (CH₃COO⁻).

Therefore, the correct option is: 1) CH₃COOH + CH₃COONa.

Ionic Equilibria Question 10:

A buffer solution is prepared by mixing an equal concentration of acetic acid (ionization constant K) and sodium acetate. The pH of the buffer when the concentration of sodium acetate is ten times larger than acetic acid is

  1. pKa + 7
  2. 14 - pKa
  3. pKa
  4. pK+ 1

Answer (Detailed Solution Below)

Option 4 : pK+ 1

Ionic Equilibria Question 10 Detailed Solution

Concept:-

  • Buffer Solution is a solution that consists of a mixture containing a weak acid and the conjugate base of the weak acid, or a weak base and the conjugate acid of the weak base.
  • A acidic buffer solution is a solution, containing a weak acid (A) and its salt (MA) with strong base.
  • The pH of a acidic buffer solution can be determined by using Henderson's equation which is given by,

​pH = pKa + log\(\frac{[Salt]}{[Acid]}\)

where, [salt] = Conc of the salt produced in the solution,

and [Acid] = Conc of the remaining acid present in the equilibrium.

Explanation:-

  • The mixture of acetic acid and sodium acetate is an acidic buffer.
  • Hence,

​pH = pKa + log\(\frac{[Salt]}{[Acid]}\)........(1)

  • Now, when [Salt] = [Acid]
  • Thus, from equation (1) we got

pH = pKa

  • When, [Salt] = 10 × [Acid]
  • Thus, from equation (1) we got,

pH = pKa + log\(\frac{10\times[Acid]}{[Acid]}\)

or, pH = pKa + log10

or, pH = pKa + 1

Conclusion:-

  • Hence, the pH of the buffer solution is pK+ 1
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