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A small surface of area emits radiation as a blackbody. A fraction of this energy emitted is received by another small area Oriented as shown in figure.
A1 = 2 cm2
The rate at which radiation emitted by surface 1 strikes is measured to be 274 x 10-6 W. Determine the surface temperature of in K?
- a)550
- b)555
Correct answer is between ' 550, 555'. Can you explain this answer?
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A small surface of area emits radiation as a blackbody. A fraction of...
As surface 1 is a black surface, the energy leaving the surface is only the energy emitted by the surface.
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Also by definition of black surface (diffuse characteristics)
Ic1 = σT14/π
274 x 10-6 W = 5.67 x 10-1 W/m2- K4 x T14 x ( 2cm2 x 6 cm2) x cos 60o x cos 30o /(100 cm)2
274 x 10-6 = 5.67 x 10-8 x 12 x 10-4/ 104 x 1/2 x ✓3/4 x T14
274 x 10-6 x 10-8 x 4 / 5.67 x 12 x ✓3 = T14
∴ T14 = 9.30 x 1010
T1 = 552.23 K
Most Upvoted Answer
A small surface of area emits radiation as a blackbody. A fraction of...
As surface 1 is a black surface, the energy leaving the surface is only the energy emitted by the surface.
Also by definition of black surface (diffuse characteristics)
Ic1 = σT14/π
274 x 10-6 W = 5.67 x 10-1 W/m2- K4 x T14 x ( 2cm2 x 6 cm2) x cos 60o x cos 30o /(100 cm)2
274 x 10-6 = 5.67 x 10-8 x 12 x 10-4/ 104 x 1/2 x ✓3/4 x T14
274 x 10-6 x 10-8 x 4 / 5.67 x 12 x ✓3 = T14
∴ T14 = 9.30 x 1010
T1 = 552.23 K
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A small surface of area emits radiation as a blackbody. A fraction of...
As surface 1 is a black surface, the energy leaving the surface is only the energy emitted by the surface.
Also by definition of black surface (diffuse characteristics)
Ic1 = σT14/π
274 x 10-6 W = 5.67 x 10-1 W/m2- K4 x T14 x ( 2cm2 x 6 cm2) x cos 60o x cos 30o /(100 cm)2
274 x 10-6 = 5.67 x 10-8 x 12 x 10-4/ 104 x 1/2 x ✓3/4 x T14
274 x 10-6 x 10-8 x 4 / 5.67 x 12 x ✓3 = T14
∴ T14 = 9.30 x 1010
T1 = 552.23 K
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A small surface of area emits radiation as a blackbody. A fraction of this energy emitted is received by another small area Oriented as shown in figure.A1 = 2 cm2The rate at which radiation emitted by surface 1 strikes is measured to be 274 x 10-6 W. Determine the surface temperature of in K?a) 550b) 555Correct answer is between ' 550, 555'. Can you explain this answer?
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