I. The radiation budget for all sky conditions at the top of the atmosphere (TOA) of a planet that is in radiative equilibrium is 1000 Wm2 for the incident shortwave radiation and 350 Wm² for the reflected shortwave radiation. (a) What is the albedo of the planet? (b) What is the magnitude of the outgoing longwave radiation at the TOA?

Applications and Investigations in Earth Science (9th Edition)
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a&b

**Radiation Budget and Albedo Exploration**

**I. Radiation Budget for All Sky Conditions:**

At the top of the atmosphere (TOA) of a planet in radiative equilibrium:
- **Incident Shortwave Radiation:** 1000 Wm⁻²
- **Reflected Shortwave Radiation:** 350 Wm⁻²

1. **Albedo Calculation:**
   - **Problem (a):** What is the albedo of the planet?

2. **Outgoing Longwave Radiation:**
   - **Problem (b):** What is the magnitude of the outgoing longwave radiation at the TOA?

3. **Clear Sky Conditions:**
   - Reflected Shortwave Radiation: 310 Wm⁻²
   - Outgoing Longwave Radiation: 600 Wm⁻²

   **Study Points:**
   - **Problem (c):** Determine:
     - (i) Shortwave Cloud Radiative Forcing
     - (ii) Longwave Cloud Radiative Forcing
     - (iii) Total Cloud Radiative Forcing

4. **Cloud Impact on Surface Temperature:**
   - **Problem (d):** Would this planet’s surface be warmer or colder without clouds? Explain the reasoning.

This set of questions aims to deepen the understanding of planetary radiation balance, albedo, and the role of clouds in thermal regulation.
Transcribed Image Text:**Radiation Budget and Albedo Exploration** **I. Radiation Budget for All Sky Conditions:** At the top of the atmosphere (TOA) of a planet in radiative equilibrium: - **Incident Shortwave Radiation:** 1000 Wm⁻² - **Reflected Shortwave Radiation:** 350 Wm⁻² 1. **Albedo Calculation:** - **Problem (a):** What is the albedo of the planet? 2. **Outgoing Longwave Radiation:** - **Problem (b):** What is the magnitude of the outgoing longwave radiation at the TOA? 3. **Clear Sky Conditions:** - Reflected Shortwave Radiation: 310 Wm⁻² - Outgoing Longwave Radiation: 600 Wm⁻² **Study Points:** - **Problem (c):** Determine: - (i) Shortwave Cloud Radiative Forcing - (ii) Longwave Cloud Radiative Forcing - (iii) Total Cloud Radiative Forcing 4. **Cloud Impact on Surface Temperature:** - **Problem (d):** Would this planet’s surface be warmer or colder without clouds? Explain the reasoning. This set of questions aims to deepen the understanding of planetary radiation balance, albedo, and the role of clouds in thermal regulation.
Expert Solution
Step 1

a. The albedo of this planet is high which implies that the sunlight reflected from the surface of this planet is more. Therefore, the rate of heating will be low and the surface of this planet will heat up at a gradual pace. The albedo of this planet is (350/1000)Wm^-2= 0.35 Wm^-2.

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