Select correct `IUPAC` name

Options

A. Methane-`1,1,1,1`-tetracarboxylic acid
B. `5`-Carbonyl-heptane-`1,7`-dioic acid
C. `2`-Chloro ethanoyl chloride
D. `1`-Bromo-`3`-fluoro-`4`-methyl cyclohexane

Explanation

To determine the correct IUPAC names from the given options, we need to analyze each option step by step.

### Step 1: Analyze the First Option
**Option 1: Methane 1,1,1,1 tetra carboxylic acid**

1. **Identify the structure**: Methane has one carbon atom (C). If we replace all four hydrogen atoms with carboxylic acid groups (COOH), we get a structure with four COOH groups attached to the same carbon.
2. **Naming convention**: When there are multiple carboxylic acid groups, we use a special naming convention. Instead of using "oic acid," we use "tetra carboxylic acid."
3. **Conclusion**: The name "methane 1,1,1,1 tetra carboxylic acid" is correct because it accurately describes the structure.

### Step 2: Analyze the Second Option
**Option 2: 5 carbonyl heptane 1,7 dioic acid**

1. **Identify the structure**: Heptane indicates a 7-carbon chain. The term "dioic acid" suggests there are two carboxylic acid groups.
2. **Position of carbonyl**: The carbonyl (C=O) group is at the 5th position, but we need to ensure that we are numbering the chain correctly to give the substituents the lowest possible numbers.
3. **Correct numbering**: If we start numbering from the end closest to the carboxylic acids, we can find that the carbonyl group should actually be at the 3rd position, not the 5th.
4. **Conclusion**: The correct name should be "3-carbonyl heptane 1,7-dioic acid." Therefore, this option is incorrect.

### Step 3: Analyze the Third Option
**Option 3: 2-chloroethanoyl chloride**

1. **Identify the structure**: Ethanol chloride indicates a 2-carbon chain with a chlorine substituent.
2. **Naming convention**: The name suggests that there is a chlorine atom at the second position of the ethyl chain.
3. **Conclusion**: The name "2-chloroethanoyl chloride" is correct as it accurately describes the structure of the compound.

### Step 4: Analyze the Fourth Option
**Option 4: 1-bromo-3-fluoro-4-methylcyclohexane**

1. **Identify the structure**: Cyclohexane is a 6-membered carbon ring. The locants given are 1 for bromo, 3 for fluoro, and 4 for methyl.
2. **Correct numbering**: We need to apply the lowest set of locants rule. If we start numbering from the bromo group, we get 1-bromo, 3-fluoro, and 4-methyl. However, if we start from the fluoro group, we would get 1-fluoro, 2-bromo, and 4-methyl.
3. **Conclusion**: The correct numbering should give the lowest set of locants, which means the correct name should be "1-bromo-2-fluoro-4-methylcyclohexane." Therefore, this option is incorrect.

### Final Conclusion
The correct IUPAC names are from the first and third options.

### Summary of Correct Options
- **Correct Options**: 1 and 3
- **Incorrect Options**: 2 and 4