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A hole of area 1 cm2 is opened on the surface of a large spherical cavity whose inside temperature is maintained at 727 °C. The value of Stefan-Boltzmann constant is 5.67×10-8 W/m2-K4. Assuming black body radiation, the rate at which the energy is emitted (in W) by the cavity through the hole, up to 3 digits after the decimal point, is __________
Important : you should answer only the numeric value
Correct answer is '5.67'. Can you explain this answer?
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To calculate the rate of heat transfer through the hole, we can use the equation for heat transfer through conduction:
Q = k * A * (T1 - T2) / d
Where:
- Q is the rate of heat transfer in watts (W)
- k is the thermal conductivity of the material in watts per meter-kelvin (W/(m·K))
- A is the area of the hole in square meters (m^2)
- T1 is the temperature inside the cavity in Kelvin (K)
- T2 is the temperature outside the cavity in Kelvin (K)
- d is the thickness of the material between the inside and outside of the cavity in meters (m)
In this case, the area of the hole is 1 cm^2, which is equal to 0.0001 m^2. The temperature inside the cavity is 727 K, and we assume the temperature outside the cavity is at room temperature, which is approximately 298 K. The thickness of the material between the inside and outside of the cavity is not given in the question.
Without knowing the thermal conductivity of the material or the thickness of the material, we cannot calculate the rate of heat transfer accurately. These values are crucial for determining the rate of heat transfer through conduction.
Q = k * A * (T1 - T2) / d
Where:
- Q is the rate of heat transfer in watts (W)
- k is the thermal conductivity of the material in watts per meter-kelvin (W/(m·K))
- A is the area of the hole in square meters (m^2)
- T1 is the temperature inside the cavity in Kelvin (K)
- T2 is the temperature outside the cavity in Kelvin (K)
- d is the thickness of the material between the inside and outside of the cavity in meters (m)
In this case, the area of the hole is 1 cm^2, which is equal to 0.0001 m^2. The temperature inside the cavity is 727 K, and we assume the temperature outside the cavity is at room temperature, which is approximately 298 K. The thickness of the material between the inside and outside of the cavity is not given in the question.
Without knowing the thermal conductivity of the material or the thickness of the material, we cannot calculate the rate of heat transfer accurately. These values are crucial for determining the rate of heat transfer through conduction.
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A hole of area 1 cm2 is opened on the surface of a large spherical cavity whose inside temperature is maintained at 727 °C. The value of Stefan-Boltzmann constant is 5.67×10-8 W/m2-K4. Assuming black body radiation, the rate at which the energy is emitted (in W) by the cavity through the hole, up to 3 digitsafter the decimal point, is __________Important : you should answer only the numeric valueCorrect answer is '5.67'. Can you explain this answer?
Question Description
A hole of area 1 cm2 is opened on the surface of a large spherical cavity whose inside temperature is maintained at 727 °C. The value of Stefan-Boltzmann constant is 5.67×10-8 W/m2-K4. Assuming black body radiation, the rate at which the energy is emitted (in W) by the cavity through the hole, up to 3 digitsafter the decimal point, is __________Important : you should answer only the numeric valueCorrect answer is '5.67'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A hole of area 1 cm2 is opened on the surface of a large spherical cavity whose inside temperature is maintained at 727 °C. The value of Stefan-Boltzmann constant is 5.67×10-8 W/m2-K4. Assuming black body radiation, the rate at which the energy is emitted (in W) by the cavity through the hole, up to 3 digitsafter the decimal point, is __________Important : you should answer only the numeric valueCorrect answer is '5.67'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hole of area 1 cm2 is opened on the surface of a large spherical cavity whose inside temperature is maintained at 727 °C. The value of Stefan-Boltzmann constant is 5.67×10-8 W/m2-K4. Assuming black body radiation, the rate at which the energy is emitted (in W) by the cavity through the hole, up to 3 digitsafter the decimal point, is __________Important : you should answer only the numeric valueCorrect answer is '5.67'. Can you explain this answer?.
A hole of area 1 cm2 is opened on the surface of a large spherical cavity whose inside temperature is maintained at 727 °C. The value of Stefan-Boltzmann constant is 5.67×10-8 W/m2-K4. Assuming black body radiation, the rate at which the energy is emitted (in W) by the cavity through the hole, up to 3 digitsafter the decimal point, is __________Important : you should answer only the numeric valueCorrect answer is '5.67'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A hole of area 1 cm2 is opened on the surface of a large spherical cavity whose inside temperature is maintained at 727 °C. The value of Stefan-Boltzmann constant is 5.67×10-8 W/m2-K4. Assuming black body radiation, the rate at which the energy is emitted (in W) by the cavity through the hole, up to 3 digitsafter the decimal point, is __________Important : you should answer only the numeric valueCorrect answer is '5.67'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hole of area 1 cm2 is opened on the surface of a large spherical cavity whose inside temperature is maintained at 727 °C. The value of Stefan-Boltzmann constant is 5.67×10-8 W/m2-K4. Assuming black body radiation, the rate at which the energy is emitted (in W) by the cavity through the hole, up to 3 digitsafter the decimal point, is __________Important : you should answer only the numeric valueCorrect answer is '5.67'. Can you explain this answer?.
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