**Problem Statement:**2. Fruit is impeded from ripening when it reaches high temperatures (>32°C). Farmer Joe is worried that Princeton’s summer heat wave will affect the ripening of his ground cherries. The spherical fruit (1 cm in diameter) is surrounded by a spherical papery husk (λ_husk = 0.3 W/m·K) with an inner diameter of 2 cm and an outer diameter of 2.1 cm. The air in between the fruit and the husk is stagnant (λ_air = 0.03 W/m·K). On a calm day in July, the Princeton air (outside of the husk) is very warm, with a temperature of ~38°C and a heat transfer coefficient of h_Princeton,calm = 10 W/m²·K.(a) Sketch the system, labeling all temperatures, dimensions, and proportionality constants.**Explanation of System to be Sketched:**1. **Components:** - **Fruit:** Spherical with a diameter of 1 cm. - **Papery Husk:** Spherical with an inner diameter of 2 cm and an outer diameter of 2.1 cm. - **Air Layer:** Stagnant air between the fruit and husk.2. **Thermal Properties:** - Thermal conductivity of the husk (λ_husk) = 0.3 W/m·K. - Thermal conductivity of the air (λ_air) = 0.03 W/m·K.3. **Environmental Conditions:** - External air temperature = ~38°C. - Heat transfer coefficient (h_Princeton,calm) = 10 W/m²·K.When sketching this system, ensure that the different layers and their dimensions, temperatures, and thermal conductivities are clearly labeled for comprehensive understanding.

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Answered: 2. Fruit is impeded from ripening when…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Question

**Problem Statement:**

2. Fruit is impeded from ripening when it reaches high temperatures (>32°C). Farmer Joe is worried that Princeton’s summer heat wave will affect the ripening of his ground cherries. The spherical fruit (1 cm in diameter) is surrounded by a spherical papery husk (λ_husk = 0.3 W/m·K) with an inner diameter of 2 cm and an outer diameter of 2.1 cm. The air in between the fruit and the husk is stagnant (λ_air = 0.03 W/m·K). On a calm day in July, the Princeton air (outside of the husk) is very warm, with a temperature of ~38°C and a heat transfer coefficient of h_Princeton,calm = 10 W/m²·K.

(a) Sketch the system, labeling all temperatures, dimensions, and proportionality constants.

**Explanation of System to be Sketched:**

1. **Components:**
- **Fruit:** Spherical with a diameter of 1 cm.
- **Papery Husk:** Spherical with an inner diameter of 2 cm and an outer diameter of 2.1 cm.
- **Air Layer:** Stagnant air between the fruit and husk.

2. **Thermal Properties:**
- Thermal conductivity of the husk (λ_husk) = 0.3 W/m·K.
- Thermal conductivity of the air (λ_air) = 0.03 W/m·K.

3. **Environmental Conditions:**
- External air temperature = ~38°C.
- Heat transfer coefficient (h_Princeton,calm) = 10 W/m²·K.

When sketching this system, ensure that the different layers and their dimensions, temperatures, and thermal conductivities are clearly labeled for comprehensive understanding.

Expert Solution

Step 1: given data

$g i v e n space equals space d subscript f r u i t end subscript space equals space 1 c m lambda subscript h u s k end subscript space equals space 0.3 space W divided by m. k I D subscript h u s k space end subscript space equals space 2 c m O D subscript h u s k end subscript space equals space 2.1 space c m lambda subscript a i r end subscript space equals space 0.03 space W divided by m. K h subscript p r i n c e t o n space end subscript equals space 10 space W divided by m squared. K$