The IUPAC name of `(CH_3)_3C-OCH_3` is

Options

A. 2-Methyl-2-methoxy propane
B. 2-Methoxy-2-methyl propane
C. Methyl t-butyl ether
D. t-butyl methyl ether

Explanation

To determine the IUPAC name of the compound `(CH₃)₃C-OCH₃`, we can follow these steps:

### Step 1: Identify the Structure
The compound consists of two alkyl groups attached to an oxygen atom, which indicates that it is an ether. The two alkyl groups are:
1. A tert-butyl group `(CH₃)₃C-`
2. A methyl group `-OCH₃`

### Step 2: Determine the Parent Chain
In ethers, we identify the longer alkyl chain as the parent chain. Here, the tert-butyl group `(CH₃)₃C-` is the longer chain, which consists of 4 carbon atoms.

### Step 3: Identify the Substituent
The shorter alkyl chain is the methyl group `-OCH₃`. When naming ethers, we refer to the alkyl group attached to the oxygen as a substituent. In this case, it is called "methoxy" because it is derived from methanol.

### Step 4: Number the Parent Chain
We number the parent chain starting from the end closest to the oxygen atom. The tert-butyl group is considered the main chain, and the methoxy group is a substituent. The numbering for the tert-butyl chain is as follows:
- C1: CH₃
- C2: CH
- C3: CH
- C4: CH₃

The methoxy group is attached to the second carbon in the tert-butyl chain.

### Step 5: Combine the Names
Now we combine the names of the substituents and the parent chain. The substituent "methoxy" is on the second carbon, and the parent chain is "butane." Therefore, the complete name is:
- 2-methoxybutane

### Step 6: Finalize the IUPAC Name
The final IUPAC name for the compound `(CH₃)₃C-OCH₃` is **2-methoxy-2-methylpropane**.

### Summary
The IUPAC name of `(CH₃)₃C-OCH₃` is **2-methoxy-2-methylpropane**.

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