The composition of the equilibrium mixture for the equilibrium Cl2leftharpoons2Cl at 1470 K diffuses 1.16 times as fast as Krypton (84) under the same conditions. Find the degree of dissociation of Cl2 at equilibrium.

Question

The composition of the equilibrium mixture for the equilibrium Cl2leftharpoons2Cl at 1470 K diffuses 1.16 times as fast as Krypton (84) under the same conditions. Find the degree of dissociation of Cl2 at equilibrium. (A) 0.14 (B) 0.41 (C) 0.91 (D) 0.24

Tardigrade Admin · Accepted Answer

underset1 - xC l2leftharpoons underset2 x2 C l M textmix=((. 1 - x .) 71 + 2 x × 35.5/(. 1 - x .) + 2 x)=(71/1 + x) (R textmix/RK r)=√(MK r/M textmix) 1.16 = √(84/(71)1 + textx) On solving x=0.14

Q. The composition of the equilibrium mixture for the equilibrium $C l_{2} ⇌ 2 Cl$ at $1470 K$ diffuses $1.16$ times as fast as Krypton $(84)$ under the same conditions. Find the degree of dissociation of $C l_{2}$ at equilibrium.

0.14

0.41

0.91

0.24

$1 - x C l_{2} ⇌ 2 x 2 Cl$
$M_{mix} = \frac{( 1 - x ) 71 + 2 x \times 35.5}{( 1 - x ) + 2 x} = \frac{71}{1 + x}$
$\frac{R _{mix}}{R _{Kr}} = \frac{M _{Kr}}{M _{mix}}$
$1.16 = \frac{84}{\frac{71}{1 + x}}$
On solving $x = 0.14$

Q. The composition of the equilibrium mixture for the equilibrium Cl2​⇌2Cl at 1470K diffuses 1.16 times as fast as Krypton (84) under the same conditions. Find the degree of dissociation of Cl2​ at equilibrium.