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Question

Chemistry Question on Equilibrium

Which one of the following is the correct quadratic form of the Ostwald's dilution law equation?

A

α2C+αK−K=0\alpha^{2}C+\alpha K-K=0

B

α2C−αK−K=0\alpha^{2}C-\alpha K-K=0

C

α2C−αK+K=0\alpha^{2}C-\alpha K+K=0

D

α2C+αK+K=0\alpha^{2}C+\alpha K+K=0

Answer

α2C+αK−K=0\alpha^{2}C+\alpha K-K=0

Explanation

Solution

Ostwald's dilution law equation is,
K=Cα2(1−α)K=\frac{C \alpha^{2}}{(1-\alpha)}
K⋅(1−α)=Cα2K \cdot(1-\alpha)=C \alpha^{2}
Cα2−K(1−α)=0C \alpha^{2}-K(1-\alpha)=0
Cα2−K+Kα=0C \alpha^{2}-K+K \alpha=0
or Cα2+Kα−K=0C \alpha^{2}+K \alpha-K=0