What should be the value of K for the equillibrium condition.?

Answer

To determine the value of K for the equilibrium condition, we can follow these steps:

### Step 1: Understand the Concept of Equilibrium Constant (K)
The equilibrium constant (K) is a numerical value that expresses the ratio of the concentrations of products to the concentrations of reactants at equilibrium for a given chemical reaction.

### Step 2: Write the Formula for K
The formula for the equilibrium constant (K) can be expressed as:
\[ K = \frac{\text{Rate of forward reaction}}{\text{Rate of backward reaction}} \]
This means that K is the ratio of the rate at which products are formed to the rate at which reactants are formed.

### Step 3: Define the Equilibrium Condition
At equilibrium, the rates of the forward and backward reactions are equal. This means:
\[ \text{Rate of forward reaction} = \text{Rate of backward reaction} \]

### Step 4: Set Up the Equation for K at Equilibrium
Since the rates are equal at equilibrium, we can substitute this into the formula for K:
\[ K = \frac{\text{Rate of forward}}{\text{Rate of backward}} = \frac{r}{r} \]
where \( r \) is the rate of the reactions.

### Step 5: Simplify the Equation
When we simplify the equation, we find:
\[ K = 1 \]
This indicates that at equilibrium, the value of K must be equal to 1.

### Conclusion
Therefore, the value of K for the equilibrium condition is:
\[ K = 1 \]

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