Assertion: (A): Emprirical formula of ethane is `CH_(3)`
Reason (R): Empirical formula of all alkenes is `CH_(2)`
The correct answer is

Options

A. Both A and R are true and R is the correct explanation of (A)
B. Both A and R are true and R is not the correct explanation of A.
C. A is true but R is false
D. A is false but R is true

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Evaluate the Assertion
The assertion states that the empirical formula of ethane is \( CH_3 \).

- **Molecular Formula of Ethane**: Ethane has the molecular formula \( C_2H_6 \).
- **Finding the Empirical Formula**: The empirical formula is the simplest whole number ratio of the elements in a compound. For ethane:
- Carbon (C) = 2
- Hydrogen (H) = 6
- The ratio of C to H is \( \frac{2}{2} : \frac{6}{2} = 1:3 \).
- Therefore, the empirical formula of ethane is indeed \( CH_3 \).

**Conclusion**: The assertion is correct.

### Step 2: Evaluate the Reason
The reason states that the empirical formula of all alkenes is \( CH_2 \).

- **General Formula for Alkenes**: Alkenes follow the general formula \( C_nH_{2n} \).
- **Finding the Empirical Formula**: For alkenes:
- If we take \( n = 1 \) (for ethene, \( C_2H_4 \)), the ratio is \( \frac{2}{2} : \frac{4}{2} = 1:2 \), which gives the empirical formula \( CH_2 \).
- This holds true for all alkenes, as they all can be expressed in the form \( CH_2 \).

**Conclusion**: The reason is also correct.

### Step 3: Determine the Relationship Between Assertion and Reason
- Both the assertion and the reason are correct.
- However, the reason does not explain the assertion because ethane is not an alkene; it is an alkane.

### Final Conclusion
The correct answer is that both the assertion and the reason are true, but the reason is not the correct explanation of the assertion.

### Answer:
Both A and R are true, but R is not the correct explanation of A.

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