The molecular formula of third member of the family of ester.

Options

A. `C_(4)H_(8)O_(2)`
B. `C_(5)H_(10)O_(2)`
C. `C_(3)H_(6)O_(2)`
D. `C_(6)H_(12)O_(2)`

Explanation

To determine the molecular formula of the third member of the family of esters, we can follow these steps:

### Step 1: Understand the General Formula for Esters
Esters are organic compounds derived from an acid (usually a carboxylic acid) and an alcohol. The general molecular formula for esters can be expressed as:
\[ C_nH_{2n}O_2 \]
where \( n \) represents the number of carbon atoms in the ester.

### Step 2: Identify the First Member of the Ester Family
The first member of the ester family is typically methyl acetate, which has the molecular formula:
\[ C_2H_4O_2 \]
This corresponds to \( n = 2 \) (2 carbon atoms).

### Step 3: Determine the Second and Third Members
Following the pattern of the general formula:
- For the second member (n = 3):
\[ C_3H_{2(3)}O_2 = C_3H_6O_2 \]

- For the third member (n = 4):
\[ C_4H_{2(4)}O_2 = C_4H_8O_2 \]

### Step 4: Write the Molecular Formula of the Third Member
Thus, the molecular formula of the third member of the ester family is:
\[ C_4H_8O_2 \]

### Conclusion
The molecular formula of the third member of the family of esters is \( C_4H_8O_2 \).

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