No of compounds producing gas on hydrolysis (with `H_(2)O` ) is
`Al_(4)C_(3),BaC_(2),Mg_(2)C_(3),SiC,B_(2)H_(6),Fe_(3)C`

Answer

To determine the number of compounds that produce gas upon hydrolysis with water from the given list, we will analyze each compound one by one.

### Step 1: Analyze Al4C3
- **Reaction**: Al4C3 + 12 H2O → Al(OH)3 + 3 CH4
- **Gas Produced**: Methane (CH4)
- **Conclusion**: Al4C3 produces gas upon hydrolysis.

### Step 2: Analyze BaC2
- **Reaction**: BaC2 + 2 H2O → Ba(OH)2 + C2H2
- **Gas Produced**: Ethyne (C2H2)
- **Conclusion**: BaC2 produces gas upon hydrolysis.

### Step 3: Analyze Mg2C3
- **Reaction**: Mg2C3 + 4 H2O → 2 Mg(OH)2 + C3H4
- **Gas Produced**: Propyne (C3H4)
- **Conclusion**: Mg2C3 produces gas upon hydrolysis.

### Step 4: Analyze SiC
- **Reaction**: SiC + 2 H2O → SiO2 + CH4
- **Gas Produced**: Methane (CH4)
- **Conclusion**: SiC produces gas upon hydrolysis.

### Step 5: Analyze B2H6
- **Reaction**: B2H6 + 6 H2O → 2 H3BO3 + 6 H2
- **Gas Produced**: Hydrogen (H2)
- **Conclusion**: B2H6 produces gas upon hydrolysis.

### Step 6: Analyze Fe3C
- **Reaction**: Fe3C + 4 H2O → 3 Fe(OH)2 + CH4
- **Gas Produced**: Methane (CH4)
- **Conclusion**: Fe3C produces gas upon hydrolysis.

### Final Conclusion
All six compounds (Al4C3, BaC2, Mg2C3, SiC, B2H6, and Fe3C) produce gases upon hydrolysis with water.

### Summary of Results
- **Total Compounds Producing Gas**: 6