A piece of metal is heated from a temperature of 27 o C to a temperature of 616

Question

A piece of metal is heated from a temperature of 27 oC to a temperature of 616 oC. How many more times the energy (amount) does the metal emit as blackbody radiation at the higher temperature than at the lower temperature? A piece of metal is heated from a temperature of 27 oC to a temperature of 616 oC. How many more times the energy (amount) does the metal emit as blackbody radiation at the higher temperature than at the lower temperature? A piece of metal is heated from a temperature of 27 oC to a temperature of 616 oC. How many more times the energy (amount) does the metal emit as blackbody radiation at the higher temperature than at the lower temperature?

Explanation / Answer

The power output of a black body radiator per unit area is proportional to the fourth power of the absolute temperature (Stefan-Boltzmann Law - see link)

Ratio is (884/300)^4 = 75

Your 2nd method is correct, but you have a significant rounding error due to rounding the temperature ratio to 3. (Raising something to the fourth power 'magnifies' rounding errors accordingly)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.