When ethyl acetate was was hydrolysedin presemce of 0.1 M HCl, the rate constant was found to be `5.4xx10^(-5)s^(-1)`. But in presence of 0.1 M `H_(2)SO_(4)` the rate constant was found to be `6.25xx10^(-5)s^(-1)`. Thus it may be concluded that:

Options

A. `H_(2)SO_(4)` furnishes more `H^(+)` than HCl
B. `H_(2)SO_(4)` furnishes less `H^(+)` than HCl
C. both have the same strength
D. will depend on concentration of ethyl acetate

Answer

To solve the problem, we need to analyze the hydrolysis of ethyl acetate in the presence of two different acids: HCl and H2SO4. We are given the rate constants for both reactions and need to conclude which acid furnishes more H⁺ ions during the reaction.

### Step-by-Step Solution:

1. **Identify Given Data:**
- Rate constant for HCl (K₁) = 5.4 x 10⁻⁵ s⁻¹
- Rate constant for H₂SO₄ (K₂) = 6.25 x 10⁻⁵ s⁻¹
- Concentration of both acids = 0.1 M

2. **Understand the Rate Law:**
The rate of a reaction can be expressed as:
\[ \text{Rate} = k \cdot [\text{Reactant}]^n \]
where \( k \) is the rate constant, \([\text{Reactant}]\) is the concentration of the reactant, and \( n \) is the order of the reaction.

3. **Set Up Rate Expressions:**
For HCl:
\[ \text{Rate}_{\text{HCl}} = K_1 \cdot [\text{Ethyl Acetate}]^n = 5.4 \times 10^{-5} \cdot (0.1)^n \]
For H₂SO₄:
\[ \text{Rate}_{\text{H₂SO₄}} = K_2 \cdot [\text{Ethyl Acetate}]^n = 6.25 \times 10^{-5} \cdot (0.1)^n \]

4. **Compare Rates:**
Since the concentration of ethyl acetate and the order of the reaction (n) are the same for both reactions, we can compare the rate constants directly:
\[ \text{Rate}_{\text{H₂SO₄}} > \text{Rate}_{\text{HCl}} \]
This implies:
\[ 6.25 \times 10^{-5} > 5.4 \times 10^{-5} \]

5. **Conclusion:**
Since the rate of hydrolysis is greater in the presence of H₂SO₄ than in the presence of HCl, we can conclude that H₂SO₄ furnishes more H⁺ ions than HCl. This is because the increase in the rate of reaction is attributed to the higher availability of H⁺ ions from H₂SO₄.

### Final Answer:
The correct conclusion is that **H₂SO₄ furnishes more H⁺ ions than HCl.**

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