If the dissociation constants of two substances are $K_{1}$ and $K_{2}$ respectively, then the ratio of degree of dissociation for a given concentration, is given by

\frac{K_{1}}{K_{2}}

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\sqrt{\frac{K_{1}}{K_{2}}}

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\frac{{(K_{1})}^{2}}{K_{2}}

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\frac{K_{1} . K_{2}}{K_{2}}

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Solution

The correct option is B $\sqrt{\frac{K_{1}}{K_{2}}}$
From OStwald dilution formula
$K = α^{2} C$
where $K$ is dissociation constant and $α$ is degree of dissociation or ionisation
$\frac{K_{1}}{K_{2}} = \frac{α_{1}^{2}}{α_{2}^{2}}$
$\frac{α_{1}}{α_{2}} = \sqrt{\frac{K_{1}}{K_{2}}}$

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Similar questions

Q. The equilibrium constants for the reactions

X ⇋ 2 Y

and

Z ⇋ P + Q

are

K_{1}

and

K_{2}

, respectively. If the initial concentrations and the degree of dissociation of X and Z are the same, the ratio

K_{1} / K_{2}

is.

The equilibrium constants for the reactions X = 2Y and Z = P + Q are $K_{1} a n d K_{2}$ , respectively. If the initial concentrations and the degree of dissociation of X and Z are the same, the ratio $\frac{K_{1}}{K_{2}}$ is.

Equilibrium constants $K_{1}$ and $K_{2}$ for the following equilibria are

$N O (g) + 0.5 O_{2} (g) \to K_{1} N O_{2} (g)$ and
$2 N O_{2} (g) \to K_{2} 2 N O (g) + O_{2} (g)$

For $C u^{2 +}$ ion in $[C u (H_{2} O)_{4} (e n)]^{2 +}, [C u (H_{2} O)_{2} (e n)_{2}]^{2 +}$ and $[C u (e n)_{3}]^{2 +}$ with the stability constant $k_{1}, k_{2}$ and $k_{3}$ respectively, which of the following holds true?

Two gaseous equilibria $S O_{2} (g) + 0.5 O_{2} (g) ⇌ S O_{3} (g)$ and

$2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)$ have equilibrium constants $K_{1}$ and $K_{2}$ respectively

at 298K. Which of the following relationships between $K_{1}$ and $K_{2}$ is correct

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If the dissociation constants of two substances are K1 and K2 respectively, then the ratio of degree of dissociation for a given concentration, is given by

The correct option is B √K1K2From OStwald dilution formulaK=α2Cwhere K is dissociation constant and α is degree of dissociation or ionisationK1K2=α21α22α1α2=√K1K2

If the dissociation constants of two substances are $K_{1}$ and $K_{2}$ respectively, then the ratio of degree of dissociation for a given concentration, is given by

The correct option is B $\sqrt{\frac{K_{1}}{K_{2}}}$
From OStwald dilution formula
$K = α^{2} C$
where $K$ is dissociation constant and $α$ is degree of dissociation or ionisation
$\frac{K_{1}}{K_{2}} = \frac{α_{1}^{2}}{α_{2}^{2}}$
$\frac{α_{1}}{α_{2}} = \sqrt{\frac{K_{1}}{K_{2}}}$