1. Electromagnetic radiation in an evacuated vessel of volume Vat equilibrium with the walls at temperature T (black body radiation) behaves like a gas of photons having internal energy U = aVT4 and pressure P= (1=3)aT4, where a is Stefan's constant. %3D (a) Plot the closed curve in the P¡V plane for a Carnot cycle using black body radiation. (b) Derive explicitly the efficiency of Carnot engine which uses black body radiation as its working substance.

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1. Electromagnetic radiation in an evacuated
vessel of volume Vat equilibrium with the walls
at temperature T (black body radiation) behaves
like a gas of photons having internal energy U =
aVT4 and pressure P= (1=3)aT4, where a is
Stefan's constant.
(a) Plot the closed curve in the P¡V plane for a
Carnot cycle using black body radiation.
(b) Derive explicitly the efficiency of Carnot
engine which uses black body radiation as its
working substance.
Transcribed Image Text:Questions 1. Electromagnetic radiation in an evacuated vessel of volume Vat equilibrium with the walls at temperature T (black body radiation) behaves like a gas of photons having internal energy U = aVT4 and pressure P= (1=3)aT4, where a is Stefan's constant. (a) Plot the closed curve in the P¡V plane for a Carnot cycle using black body radiation. (b) Derive explicitly the efficiency of Carnot engine which uses black body radiation as its working substance.
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