A black body at 227°C radiates heat at the rate of 7 cal/cm² s. At a temperature of 727°C, the rate of heat radiated in the same units will be:

Question

Dr. Abubacker · Accepted Answer

[Solution from source] Stefan's law: E ∝ T⁴ with absolute temperatures. 227°C = 500 K and 727°C = 1000 K, so E rises by (1000/500)⁴ = 16: 7 × 16 = 112 cal/cm² s. Using Celsius temperatures directly gives wrong ratios. Answer (2).

Q. A black body at 227°C radiates heat at the rate of 7 cal/cm² s. At a temperature of 727°C, the rate of heat radiated in the same units will be:

Explanation

Reviewed by Dr. Abubacker

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