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Ionic Equilibrium question

2025 · 7 Apr · Shift 1 · Q24
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Ionic Equilibrium question

2025 · 7 Apr · Shift 1 · Q24

JEE MainChemistryIonic EquilibriumNumerical+4 / −1
The percentage dissociation of a salt (MX3)\left(\mathrm{MX}_3\right)(MX3​) solution at given temperature (van't Hoff factor i=2\mathrm{i}=2i=2 ) is ‾\underline{\hspace{2cm}}​ %(Nearest integer)
Numerical answer
View written solutionFree

Correct answer: 33

  1. Relate van’t Hoff factor to degree of dissociation

For the salt MX3\mathrm{MX_3}MX3​:

MX3→M3++3X−\mathrm{MX_3 \rightarrow M^{3+} + 3X^-}MX3​→M3++3X−

So, one formula unit gives a total of 444 particles after complete dissociation.

  1. Use the general formula for van’t Hoff factor

If α\alphaα is the degree of dissociation, then for a solute producing ν\nuν particles,

i=1+(ν−1)αi = 1 + (\nu - 1)\alphai=1+(ν−1)α

Here, ν=4\nu = 4ν=4, so

i=1+(4−1)α=1+3αi = 1 + (4-1)\alpha = 1 + 3\alphai=1+(4−1)α=1+3α

  1. Substitute the given value

Given:

i=2i = 2i=2

Hence,

2=1+3α2 = 1 + 3\alpha2=1+3α

3α=13\alpha = 13α=1

α=13\alpha = \frac{1}{3}α=31​

  1. Convert to percentage dissociation

% dissociation=α×100=13×100=33.33%\%\text{ dissociation} = \alpha \times 100 = \frac{1}{3}\times 100 = 33.33\%% dissociation=α×100=31​×100=33.33%

Nearest integer:

33\boxed{33}33​

  1. Comparison with stored answer

Stored correct answer = 333333

Our derived answer = 333333

So they agree.

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