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A+BhArrC+D" constant "=K(1) E+FhArrG+H...

`A+BhArrC+D" constant "=K_(1)`
`E+FhArrG+H" Constent "=K_(2)`
then C + D + E + F `implies` product. The constant of reaction will be :

A

`K_(1)/K_(2)`

B

`K_(2)/K_(1)`

C

`K_(1)K_(2)`

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the equilibrium constant for the reaction involving the species C, D, E, and F leading to products. We are given two equilibrium reactions with their respective equilibrium constants. ### Step-by-Step Solution: 1. **Identify the Given Reactions and Their Constants:** - Reaction 1: \( A + B \rightleftharpoons C + D \) with equilibrium constant \( K_1 \). - Reaction 2: \( E + F \rightleftharpoons G + H \) with equilibrium constant \( K_2 \). 2. **Reverse the First Reaction:** - To find the equilibrium constant for the reaction involving \( C \) and \( D \), we need to reverse the first reaction: \[ C + D \rightleftharpoons A + B \] - The equilibrium constant for the reversed reaction becomes: \[ K' = \frac{1}{K_1} \] 3. **Write the Second Reaction:** - The second reaction remains unchanged: \[ E + F \rightleftharpoons G + H \] - Its equilibrium constant is \( K_2 \). 4. **Combine the Reactions:** - Now, we can add the reversed first reaction and the second reaction: \[ (C + D \rightleftharpoons A + B) + (E + F \rightleftharpoons G + H) \] - This gives us: \[ C + D + E + F \rightleftharpoons A + B + G + H \] 5. **Determine the New Equilibrium Constant:** - When two equilibrium reactions are added, their equilibrium constants multiply: \[ K_{\text{new}} = K' \cdot K_2 = \left(\frac{1}{K_1}\right) \cdot K_2 = \frac{K_2}{K_1} \] 6. **Final Answer:** - Therefore, the equilibrium constant for the reaction \( C + D + E + F \) leading to products is: \[ K = \frac{K_2}{K_1} \]
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