For the cyclic trimerisation of acetylene to give one mole of benzene, `K_(C)=4 L^(2) mol^(-2)`. If the equilibrium concentration of benzene is `0.5" mol L"^(-1)`, calculate the equilibrium concentration of acetylene.

Explanation

To solve the problem of finding the equilibrium concentration of acetylene in the cyclic trimerization reaction to form benzene, we can follow these steps:

### Step 1: Write the balanced chemical equation
The cyclic trimerization of acetylene (C₂H₂) to form benzene (C₆H₆) can be represented as:
\[ 3 \text{C}_2\text{H}_2 \rightleftharpoons \text{C}_6\text{H}_6 \]

### Step 2: Write the expression for the equilibrium constant (Kc)
The equilibrium constant expression for the reaction is given by:
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