`C_(40)H_(56)O_(2)` is an empirical formula of a

Options

A. Xanthophyll
B. Carotene
C. Anthocyanin
D. Chlorophyll.

Answer

To determine which pigment corresponds to the empirical formula \( C_{40}H_{56}O_{2} \), we can analyze the given options one by one.

### Step 1: Identify the Given Empirical Formula
The empirical formula provided in the question is \( C_{40}H_{56}O_{2} \).

### Step 2: Analyze Each Option
1. **Xanthophyll**: The empirical formula for xanthophyll is \( C_{40}H_{56}O_{2} \). This matches the given empirical formula.

2. **Carotene**: The empirical formula for carotene is \( C_{40}H_{56} \). This does not include oxygen, so it does not match the given formula.

3. **Anthocyanin**: The empirical formula for anthocyanin is \( C_{15}H_{11}O \). This is significantly different from the given empirical formula.

4. **Chlorophyll**: The empirical formulas for chlorophyll (specifically chlorophyll A and B) are generally \( C_{55}H_{70}O_{6} \) and include magnesium and nitrogen. This does not match the given formula.

### Step 3: Conclusion
Based on the analysis, the only pigment that matches the empirical formula \( C_{40}H_{56}O_{2} \) is **Xanthophyll**.

### Final Answer
The empirical formula \( C_{40}H_{56}O_{2} \) corresponds to **Xanthophyll**.

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