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Two very large parallel plates separated by vacuum are maintained at uniform temperatures T1= 750K & T2=500K and have emissivities ε1= 0.85 and ε2 = 0.7 respectively. If a thin aluminium sheet with same emissivity on both sides is placed in between the plates, the rate of heat transfer between the plates reduces by 90%. The emissivity of aluminium sheet is given as
- a)0.07
- b)0.10
- c)0.13
- d)0.16
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two very large parallel plates separated by vacuum are maintained at u...
By thermal circuits,
Q ∝ 1/R
Where R is resistance to radiation heat exchange between the surfaces.
When there is no sheet between the plates
T1 = 750 K T2 = 500 K
ε1 = 0.85 ε20.7
R1 = 1-ε1/Aε1+1/A+1-ε2/Aε2
R1 = 1-0.85/0.854A+1/A+1-0.7/0.7A
R1 = 1.605/A
When a sheet is placed between the surfaces
Where εs is the emissivity of single shield
surface
∴ R2 = 2.605/A+2(1-εs)/Aεs
∴ Q2/Q1 = R1/R2
It is given that by introducing the sheet in between the plates reduces the heat exchange by 90%
∴ Q2/Q1 = 0.1
∴ R1/R2 = 0.1
∴ 1.605 = 0.2605 + 0.2 (1-εs)/εs
6.7225 εs = 1-εs
εs = 0.1295
εs ≃ 0.13
Most Upvoted Answer
Two very large parallel plates separated by vacuum are maintained at u...
And T2= 300K. The distance between the plates is 2mm. Find the net rate of heat transfer per unit area between the plates due to radiation.
We can use the Stefan-Boltzmann law to find the heat transfer per unit area between the plates due to radiation:
Q = σA(T1^4 - T2^4)
where σ is the Stefan-Boltzmann constant (5.67 x 10^-8 W/m^2K^4), A is the area of one plate, and T1 and T2 are the temperatures of the plates.
First, we need to find the area of one plate:
A = length x width = 1m x 1m = 1m^2
Next, we can plug in the values and solve for Q:
Q = 5.67 x 10^-8 x 1 x (750^4 - 300^4)
Q = 630.3 W/m^2
Therefore, the net rate of heat transfer per unit area between the plates due to radiation is 630.3 W/m^2.
We can use the Stefan-Boltzmann law to find the heat transfer per unit area between the plates due to radiation:
Q = σA(T1^4 - T2^4)
where σ is the Stefan-Boltzmann constant (5.67 x 10^-8 W/m^2K^4), A is the area of one plate, and T1 and T2 are the temperatures of the plates.
First, we need to find the area of one plate:
A = length x width = 1m x 1m = 1m^2
Next, we can plug in the values and solve for Q:
Q = 5.67 x 10^-8 x 1 x (750^4 - 300^4)
Q = 630.3 W/m^2
Therefore, the net rate of heat transfer per unit area between the plates due to radiation is 630.3 W/m^2.
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Two very large parallel plates separated by vacuum are maintained at uniform temperatures T1= 750K & T2=500K and have emissivities ε1= 0.85 and ε2 = 0.7 respectively. If a thin aluminium sheet with same emissivity on both sides is placed in between the plates, the rate of heat transfer between the plates reduces by 90%. The emissivity of aluminium sheet is given asa)0.07b)0.10c)0.13d)0.16Correct answer is option 'C'. Can you explain this answer?
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Two very large parallel plates separated by vacuum are maintained at uniform temperatures T1= 750K & T2=500K and have emissivities ε1= 0.85 and ε2 = 0.7 respectively. If a thin aluminium sheet with same emissivity on both sides is placed in between the plates, the rate of heat transfer between the plates reduces by 90%. The emissivity of aluminium sheet is given asa)0.07b)0.10c)0.13d)0.16Correct answer is option 'C'. 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 Two very large parallel plates separated by vacuum are maintained at uniform temperatures T1= 750K & T2=500K and have emissivities ε1= 0.85 and ε2 = 0.7 respectively. If a thin aluminium sheet with same emissivity on both sides is placed in between the plates, the rate of heat transfer between the plates reduces by 90%. The emissivity of aluminium sheet is given asa)0.07b)0.10c)0.13d)0.16Correct answer is option 'C'. 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 Two very large parallel plates separated by vacuum are maintained at uniform temperatures T1= 750K & T2=500K and have emissivities ε1= 0.85 and ε2 = 0.7 respectively. If a thin aluminium sheet with same emissivity on both sides is placed in between the plates, the rate of heat transfer between the plates reduces by 90%. The emissivity of aluminium sheet is given asa)0.07b)0.10c)0.13d)0.16Correct answer is option 'C'. Can you explain this answer?.
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