If different quantities of ethyl alcohol and acetic acid are used in the reversible reaction `CH_(3)COOH_((aq))+C_(2)H_(5)OH_((aq)) Leftrightarrow CH_(3)COOC_(2)H_(5(aq))+ H_(2)O_((l))` then the equilibrium constant at constant temperature will have the values

Options

A. Same in all cases
B. Different in all cases
C. higher in cases when higher concentration of ethyl alcohol is used
D. Higher in cases when higher concentration of acetic acid is used

Answer

To solve the question regarding the equilibrium constant for the reaction:

\[ \text{CH}_3\text{COOH}_{(aq)} + \text{C}_2\text{H}_5\text{OH}_{(aq)} \leftrightarrow \text{CH}_3\text{COOC}_2\text{H}_5_{(aq)} + \text{H}_2\text{O}_{(l)} \]

we need to understand the concept of the equilibrium constant (K) and how it is affected by changes in concentration and temperature.

### Step-by-Step Solution:

1. **Identify the Reaction**: The given reaction is a reversible reaction between acetic acid (CH₃COOH) and ethyl alcohol (C₂H₅OH) to form ethyl acetate (CH₃COOC₂H₅) and water (H₂O).

2. **Write the Expression for the Equilibrium Constant (K)**: The equilibrium constant for this reaction at a constant temperature can be expressed as:
\[ K = \frac{[\text{CH}_3\text{COOC}_2\text{H}_5][\text{H}_2\text{O}]}{[\text{CH}_3\text{COOH}][\text{C}_2\text{H}_5\text{OH}]} \]
where [ ] denotes the concentration of the species.

3. **Understand the Dependence of K**: The equilibrium constant (K) is dependent only on the temperature of the reaction. It does not change with the concentrations of the reactants or products.

4. **Consider Different Quantities of Reactants**: The question states that different quantities of ethyl alcohol and acetic acid are used. However, regardless of how these concentrations change, as long as the temperature remains constant, the value of K will remain the same.

5. **Conclusion**: Therefore, the equilibrium constant at constant temperature will have the same value irrespective of the varying concentrations of ethyl alcohol and acetic acid.

### Final Answer:
The equilibrium constant (K) will remain constant at a given temperature, regardless of the different quantities of ethyl alcohol and acetic acid used.