The homogenous catalysis is shown by

Options

A. Haber 's process
`N_(2)(g) +3H_(2)(g) overset(Fe(s))(rarr) 2NH_(3)(g)`
B. Ostwald process
`4NH_(3)(g) +50_(2)(g) overset(pt(s))(rarr) 4NO(g) + 6H_(2)O(g)`
C. Contact proces
`2SO_(2)(g)+O_(2)overset(Pt(s))(rarr) 2SO_(3)(g)`
D. `2C_(2)H_(5)OH(aq) overset(H_(2)SO_(4)(aq))(rarr)`
`C_(2)H_(5)- O- C_(2)H_(5)(aq)+H_(2)O(I)`

Explanation

To determine which process represents homogeneous catalysis, we need to understand the definition of homogeneous catalysis. In homogeneous catalysis, the catalyst and the reactants are in the same phase (i.e., both are either in the gas phase, liquid phase, or solid phase).

Let's analyze the given options step by step:

1. **Identify the Processes**:
- A: Nitrogen gas and hydrogen gas react in the presence of a solid catalyst to form ammonia (2NH3).
- B: 4NH3 gas reacts with 5O2 gas in the presence of a solid platinum catalyst to form 4NO and 6H2O.
- C: 2SO2 gas reacts with O2 gas in the presence of a solid platinum catalyst to form 2SO3 gas.
- D: C2H5OH (ethanol) in aqueous solution reacts with H2SO4 (sulfuric acid) in aqueous solution to form C2H5OC2H5 (diethyl ether).

2. **Analyze Each Option**:
- **Option A**: The reactants (N2 and H2) are gases, but the catalyst is a solid. Thus, this is not homogeneous catalysis.
- **Option B**: The reactants (NH3 and O2) are gases, but the catalyst is a solid (platinum). This is also not homogeneous catalysis.
- **Option C**: The reactants (SO2 and O2) are gases, but the catalyst is a solid (platinum). This is not homogeneous catalysis either.
- **Option D**: Both reactants (C2H5OH and H2SO4) are in aqueous solution. Since both the reactants and the catalyst (H2SO4) are in the same phase (aqueous), this represents homogeneous catalysis.

3. **Conclusion**:
The process that shows homogeneous catalysis is **Option D**.

### Final Answer:
The homogeneous catalysis is shown by **Option D** (C2H5OH in aqueous solution reacting with H2SO4 in aqueous solution).