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A radiator in a domestic heating system operates at a surface temperature of 60 degree Celsius. Calculate the heat flux at the surface of the radiator if it behaves as a black body
- a)697.2 W/m2
- b)786.9 W/m2
- c)324.7 W/m2
- d)592.1 W/m2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A radiator in a domestic heating system operates at a surface temperat...
Here's the solution to your question:
As, q = Q/A = 5.67 * 10-8 (273+60)4 = 697.2.
Hence, the correct answer is Option A
You can go through these courses of Chemical Engineering for a complete understanding.
Most Upvoted Answer
A radiator in a domestic heating system operates at a surface temperat...
Given data:
Surface temperature of the radiator, T = 60 °C
We are required to calculate the heat flux at the surface of the radiator if it behaves as a black body.
Formula used:
Stefan-Boltzmann law: Q = σAT⁴
where Q = heat flux, σ = Stefan-Boltzmann constant = 5.67 x 10⁻⁸ W/m²K⁴, A = surface area of the radiator, T = temperature in Kelvin.
Calculation:
Surface temperature of the radiator, T = 60 °C = 333 K
Area of the radiator, A = 1 m² (Assuming a flat surface)
Using the Stefan-Boltzmann law, we have:
Q = σAT⁴
Q = 5.67 x 10⁻⁸ x 1 x 333⁴
Q ≈ 697.2 W/m²
Therefore, the heat flux at the surface of the radiator is 697.2 W/m², which is option A.
Surface temperature of the radiator, T = 60 °C
We are required to calculate the heat flux at the surface of the radiator if it behaves as a black body.
Formula used:
Stefan-Boltzmann law: Q = σAT⁴
where Q = heat flux, σ = Stefan-Boltzmann constant = 5.67 x 10⁻⁸ W/m²K⁴, A = surface area of the radiator, T = temperature in Kelvin.
Calculation:
Surface temperature of the radiator, T = 60 °C = 333 K
Area of the radiator, A = 1 m² (Assuming a flat surface)
Using the Stefan-Boltzmann law, we have:
Q = σAT⁴
Q = 5.67 x 10⁻⁸ x 1 x 333⁴
Q ≈ 697.2 W/m²
Therefore, the heat flux at the surface of the radiator is 697.2 W/m², which is option A.
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A radiator in a domestic heating system operates at a surface temperature of 60 degree Celsius. Calculate the heat flux at the surface of the radiator if it behaves as a black bodya)697.2 W/m2b)786.9 W/m2c)324.7 W/m2d)592.1 W/m2Correct answer is option 'A'. Can you explain this answer?
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