2. Fruit is impeded from ripening when 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 (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 (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 hprinceton,calm = 10 W/m².K. (a) Sketch the system labeling all temperatures, dimensions, and proportionality constants.
2. Fruit is impeded from ripening when 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 (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 (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 hprinceton,calm = 10 W/m².K. (a) Sketch the system labeling all temperatures, dimensions, and proportionality constants.
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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Transcribed Image Text:**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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