When `K_(c)gt1` for a chemical reaction,

Options

A. the equilibrium would be achieved rapidly
B. the equilibrium would be achieved slowly
C. product concentrations would be much greater than reactant concentrations at equilibrium
D. reactant concentraions would be much greater then product concentraions at equilibrium.

Answer

To solve the question regarding the equilibrium constant \( K_c \) for a chemical reaction when \( K_c > 1 \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of \( K_c \)**:
The equilibrium constant \( K_c \) is defined as the ratio of the concentrations of the products to the concentrations of the reactants, each raised to the power of their respective stoichiometric coefficients. For a general reaction:
\[ aA + bB \rightleftharpoons cC + dD \]
The equilibrium constant \( K_c \) is given by:
\[ K_c = \frac{[C]^c [D]^d}{[A]^a [B]^b} \]

2. **Interpret \( K_c > 1 \)**:
When \( K_c > 1 \), it indicates that the concentration of the products is greater than the concentration of the reactants at equilibrium. This means that the reaction favors the formation of products.

3. **Analyze the Implications**:
Since \( K_c > 1 \), we can conclude:
- The reaction proceeds in the forward direction more than the reverse direction.
- At equilibrium, the concentration of products will be significantly higher than that of the reactants.

4. **Evaluate the Given Options**:
- **Option A**: "Equilibrium would be achieved rapidly" - This is not necessarily true as the speed of reaching equilibrium does not depend on \( K_c \).
- **Option B**: "Equilibrium would be achieved slowly" - This is also not necessarily true for the same reason as above.
- **Option C**: "Product concentrations would be much greater than reactant concentrations at equilibrium" - This is true and aligns with our understanding of \( K_c > 1 \).
- **Option D**: "Reactant concentration is much higher compared to product concentration at equilibrium" - This is false as it contradicts the condition \( K_c > 1 \).

5. **Select the Correct Option**:
Based on the analysis, the correct option is **C**: "Product concentrations would be much greater than reactant concentrations at equilibrium."