If a black body emits 0.5 ~J of energy per second when it is at 27^ C , then the amount of energy emitted by it when it is at 627^ C will be

Step-by-step solution

Given, aligned T₁ &=27^ C =(273+27) K =300 ~K T₂ &=627^ C &=(627+273) K &=900 ~K aligned Energy emitted per second aligned &E₁=0.5 ~J &E₂=? aligned According to Stefan's Boltzmann law, Energy radiated per unit area per second is given by aligned E &= T⁴ E₂ E₁ &= ( T₂ T₁ )⁴ &= ( 900 300 )⁴=81 E₂ &=81 E₁=81 0.5 &=405 ~J aligned