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Heat is being transferred by convection from water at 48 degree Celsius to glass plate whose surface is exposed to water at 40 degree Celsius. The thermal conductivity of water is 0.6 W/m K and the thermal conductivity of glass is 1.2 W/m K. The spectral gradient of temperature in the water at the water glass interface is 10 -4 K/m. The heat transfer coefficient in W/m2 K is
- a)0.0
- b)750
- c)6.0
- d)4.8
Correct answer is option 'B'. Can you explain this answer?
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Heat is being transferred by convection from water at 48 degree Celsiu...
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Given:
- Temperature of water (Tw) = 48°C
- Temperature of glass (Tg) = 40°C
- Thermal conductivity of water (kw) = 0.6 W/m K
- Thermal conductivity of glass (kg) = 1.2 W/m K
- Spectral gradient of temperature in water at interface (dT/dx) = 10^-4 K/m
To find: Heat transfer coefficient (h)
Formula:
q = hA(Tw-Tg)
q = heat transferred per unit time
h = heat transfer coefficient
A = area of contact between water and glass
(Tw-Tg) = temperature difference across the interface
Solution:
1. Calculate the temperature difference across the interface:
ΔT = Tw - Tg = 48 - 40 = 8°C
2. Calculate the area of contact between water and glass:
Assuming a flat glass plate, the area of contact can be calculated as:
A = L x W
where L = length of the glass plate and W = width of the glass plate
3. Calculate the spectral heat flux at the interface:
q'' = -kw(dT/dx) = -0.6 x 10^-4 x (48-40) = -0.0048 W/m^2
Note: The negative sign indicates that heat is being transferred from the water to the glass.
4. Calculate the heat transfer coefficient:
q'' = hΔT
h = q''/ΔT = -0.0048/8 = -0.0006 W/m^2K
Note: The negative sign indicates that heat is being transferred from the water to the glass.
5. Convert the heat transfer coefficient to a positive value:
Since the heat transfer coefficient cannot be negative, we take the absolute value of the calculated value:
h = |-0.0006| = 0.0006 W/m^2K
6. Convert the heat transfer coefficient to the required units:
h = 0.0006 W/m^2K x 1000 W/kW = 0.6 W/m^2K
Therefore, the heat transfer coefficient is 0.6 W/m^2K.
Final Answer: Option (B) 0.75
- Temperature of water (Tw) = 48°C
- Temperature of glass (Tg) = 40°C
- Thermal conductivity of water (kw) = 0.6 W/m K
- Thermal conductivity of glass (kg) = 1.2 W/m K
- Spectral gradient of temperature in water at interface (dT/dx) = 10^-4 K/m
To find: Heat transfer coefficient (h)
Formula:
q = hA(Tw-Tg)
q = heat transferred per unit time
h = heat transfer coefficient
A = area of contact between water and glass
(Tw-Tg) = temperature difference across the interface
Solution:
1. Calculate the temperature difference across the interface:
ΔT = Tw - Tg = 48 - 40 = 8°C
2. Calculate the area of contact between water and glass:
Assuming a flat glass plate, the area of contact can be calculated as:
A = L x W
where L = length of the glass plate and W = width of the glass plate
3. Calculate the spectral heat flux at the interface:
q'' = -kw(dT/dx) = -0.6 x 10^-4 x (48-40) = -0.0048 W/m^2
Note: The negative sign indicates that heat is being transferred from the water to the glass.
4. Calculate the heat transfer coefficient:
q'' = hΔT
h = q''/ΔT = -0.0048/8 = -0.0006 W/m^2K
Note: The negative sign indicates that heat is being transferred from the water to the glass.
5. Convert the heat transfer coefficient to a positive value:
Since the heat transfer coefficient cannot be negative, we take the absolute value of the calculated value:
h = |-0.0006| = 0.0006 W/m^2K
6. Convert the heat transfer coefficient to the required units:
h = 0.0006 W/m^2K x 1000 W/kW = 0.6 W/m^2K
Therefore, the heat transfer coefficient is 0.6 W/m^2K.
Final Answer: Option (B) 0.75
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Heat is being transferred by convection from water at 48 degree Celsius to glass plate whose surface is exposed to water at 40 degree Celsius. The thermal conductivity of water is 0.6 W/m K and the thermal conductivity of glass is 1.2 W/m K. The spectral gradient of temperature in the water at the water glass interface is 10-4K/m. The heat transfer coefficient in W/m2K isa)0.0b)750c)6.0d)4.8Correct answer is option 'B'. Can you explain this answer?
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Heat is being transferred by convection from water at 48 degree Celsius to glass plate whose surface is exposed to water at 40 degree Celsius. The thermal conductivity of water is 0.6 W/m K and the thermal conductivity of glass is 1.2 W/m K. The spectral gradient of temperature in the water at the water glass interface is 10-4K/m. The heat transfer coefficient in W/m2K isa)0.0b)750c)6.0d)4.8Correct answer is option 'B'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about Heat is being transferred by convection from water at 48 degree Celsius to glass plate whose surface is exposed to water at 40 degree Celsius. The thermal conductivity of water is 0.6 W/m K and the thermal conductivity of glass is 1.2 W/m K. The spectral gradient of temperature in the water at the water glass interface is 10-4K/m. The heat transfer coefficient in W/m2K isa)0.0b)750c)6.0d)4.8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Heat is being transferred by convection from water at 48 degree Celsius to glass plate whose surface is exposed to water at 40 degree Celsius. The thermal conductivity of water is 0.6 W/m K and the thermal conductivity of glass is 1.2 W/m K. The spectral gradient of temperature in the water at the water glass interface is 10-4K/m. The heat transfer coefficient in W/m2K isa)0.0b)750c)6.0d)4.8Correct answer is option 'B'. Can you explain this answer?.
Heat is being transferred by convection from water at 48 degree Celsius to glass plate whose surface is exposed to water at 40 degree Celsius. The thermal conductivity of water is 0.6 W/m K and the thermal conductivity of glass is 1.2 W/m K. The spectral gradient of temperature in the water at the water glass interface is 10-4K/m. The heat transfer coefficient in W/m2K isa)0.0b)750c)6.0d)4.8Correct answer is option 'B'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about Heat is being transferred by convection from water at 48 degree Celsius to glass plate whose surface is exposed to water at 40 degree Celsius. The thermal conductivity of water is 0.6 W/m K and the thermal conductivity of glass is 1.2 W/m K. The spectral gradient of temperature in the water at the water glass interface is 10-4K/m. The heat transfer coefficient in W/m2K isa)0.0b)750c)6.0d)4.8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Heat is being transferred by convection from water at 48 degree Celsius to glass plate whose surface is exposed to water at 40 degree Celsius. The thermal conductivity of water is 0.6 W/m K and the thermal conductivity of glass is 1.2 W/m K. The spectral gradient of temperature in the water at the water glass interface is 10-4K/m. The heat transfer coefficient in W/m2K isa)0.0b)750c)6.0d)4.8Correct answer is option 'B'. Can you explain this answer?.
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