Problem

If the equilibrium constant for the reaction $C \rightleftharpoons D$ is 0.15 , what is the value of the equilibrium constant for the reaction $D \rightleftharpoons C$ ?

Answer

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Answer

Final Answer: The equilibrium constant for the reaction \(D \rightleftharpoons C\) is \(\boxed{6.67}\).

Steps

Step 1 :The equilibrium constant for the reaction \(C \rightleftharpoons D\) is given as 0.15.

Step 2 :The equilibrium constant for a reaction is the reciprocal of the equilibrium constant for the reverse reaction.

Step 3 :Therefore, the equilibrium constant for the reaction \(D \rightleftharpoons C\) should be the reciprocal of 0.15.

Step 4 :Calculate the reciprocal of 0.15 to find the equilibrium constant for the reaction \(D \rightleftharpoons C\).

Step 5 :K_reverse = 1 / 0.15 = 6.666666666666667

Step 6 :Round the result to two decimal places.

Step 7 :K_reverse = 6.67

Step 8 :Final Answer: The equilibrium constant for the reaction \(D \rightleftharpoons C\) is \(\boxed{6.67}\).

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