An orange orb has an emissivity of 0.405 and its surroundings are at 324°C. The orange orb is absorbing heat via radiation at a rate of 640 W and it is emitting heat via radiation at a rate of 84 W. Determine the surface area of the orb, the temperature of the orb, & Pnet.

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An orange orb has an emissivity of 0.405 and its surroundings are at 324°C. The orange orb is absorbing heat via radiation at a rate of 640 W and it is emitting heat via radiation at a rate of 84 W. Determine the surface area of the orb, the temperature of the orb, & Pnet.

**Content**

| Substance     | Latent Heat (J/kg) |
|---------------|--------------------|
| Steam ↔ water | 2,260,000          |
| Ice ↔ water   | 333,000            |

Answer the following questions dealing with methods of heat transfer.

---

**Radiation**

An orange orb has an emissivity of 0.405 and its surroundings are at 324°C. The orange orb is absorbing heat via radiation at a rate of 640 W and it is emitting heat via radiation at a rate of 84 W. Determine the surface area of the orb, the temperature of the orb, & \( P_{\text{net}} \).

- \( A = .219 \, \text{m}^2 \)
- \( T_{\text{orb}} = 870.43 \, \text{K} \)

Your answer is correct.

- \( P_{\text{net}} = \) [Box for student input]

---

**Convection**

The exterior walls of a house have a total area of 190 \(\text{m}^2\) and are at 12.3°C and the surrounding air is at 6.4°C. Find the rate of convective cooling of the walls, assuming a convection coefficient of 3.1 W/(m\(^2\)·°C). Since you’re looking for the rate of cooling, your answer should be entered as positive.

- [Box for student input]

---

**Conduction**

Ice of mass 14.6 kg at 0°C is placed in an ice chest. The ice chest has 2 cm thick walls of thermal conductivity 0.02 W/m·K and a surface area of 1.3 m\(^2\). Express your answers with appropriate mks units.

(a) How much heat must be absorbed by the ice during the melting process?

- [Box for student input]

(b) If the outer surface of the ice chest is at 27°C, how long will it take for the ice to melt?

- [Box for student input]
Transcribed Image Text:**Content** | Substance | Latent Heat (J/kg) | |---------------|--------------------| | Steam ↔ water | 2,260,000 | | Ice ↔ water | 333,000 | Answer the following questions dealing with methods of heat transfer. --- **Radiation** An orange orb has an emissivity of 0.405 and its surroundings are at 324°C. The orange orb is absorbing heat via radiation at a rate of 640 W and it is emitting heat via radiation at a rate of 84 W. Determine the surface area of the orb, the temperature of the orb, & \( P_{\text{net}} \). - \( A = .219 \, \text{m}^2 \) - \( T_{\text{orb}} = 870.43 \, \text{K} \) Your answer is correct. - \( P_{\text{net}} = \) [Box for student input] --- **Convection** The exterior walls of a house have a total area of 190 \(\text{m}^2\) and are at 12.3°C and the surrounding air is at 6.4°C. Find the rate of convective cooling of the walls, assuming a convection coefficient of 3.1 W/(m\(^2\)·°C). Since you’re looking for the rate of cooling, your answer should be entered as positive. - [Box for student input] --- **Conduction** Ice of mass 14.6 kg at 0°C is placed in an ice chest. The ice chest has 2 cm thick walls of thermal conductivity 0.02 W/m·K and a surface area of 1.3 m\(^2\). Express your answers with appropriate mks units. (a) How much heat must be absorbed by the ice during the melting process? - [Box for student input] (b) If the outer surface of the ice chest is at 27°C, how long will it take for the ice to melt? - [Box for student input]
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