To solve the question regarding which kingdom includes phototrophs, chemotrophs, and heterotrophs in a 5-kingdom classification system, we can follow these steps:
### Step-by-Step Solution:
1. **Understand the Terms**:
- **Phototrophs**: Organisms that obtain energy from light (e.g., plants, some bacteria).
- **Chemotrophs**: Organisms that obtain energy from chemical compounds (e.g., some bacteria).
- **Heterotrophs**: Organisms that cannot produce their own food and rely on other organisms (e.g., animals, fungi).
2. **Identify the Kingdoms**:
- In the 5-kingdom classification system, the kingdoms are:
1. **Monera**: Prokaryotic organisms, mostly unicellular (e.g., bacteria).
2. **Protista**: Eukaryotic organisms that are not animals, plants, or fungi; can be unicellular or multicellular.
3. **Fungi**: Eukaryotic organisms that absorb nutrients from organic materials; mostly multicellular.
4. **Plantae**: Multicellular organisms that perform photosynthesis.
5. **Animalia**: Multicellular organisms that are heterotrophic.
3. **Analyze the Characteristics of Each Kingdom**:
- **Kingdom Monera** includes all unicellular organisms, which can be phototrophs (e.g., cyanobacteria), chemotrophs (e.g., nitrifying bacteria), and heterotrophs (e.g., certain bacteria).
- **Kingdom Protista** includes some phototrophs (e.g., algae) and heterotrophs (e.g., protozoa), but not chemotrophs.
- **Kingdom Fungi** consists mainly of heterotrophs.
- **Kingdom Plantae** consists of phototrophs only.
- **Kingdom Animalia** consists of heterotrophs only.
4. **Conclusion**:
- Since the question asks for a kingdom that includes phototrophs, chemotrophs, and heterotrophs, the only kingdom that fits all three categories is **Kingdom Monera**.
### Final Answer:
The kingdom that includes phototrophs, chemotrophs, and heterotrophs in a 5-kingdom classification system is **Kingdom Monera**.