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Question: Answered & Verified by Expert

A sphere of surface area 4 m2 at temperature 400 K and having emissivity 0.5 is located in an environment of temperature 200 K. The net rate of energy exchange of the sphere is

(Stefan Boltzmann constant σ=5.67×10-8 W m-2 K4)

PhysicsThermal Properties of MatterAP EAMCETAP EAMCET 2022 (04 Jul Shift 1)
Options:
  • A 3260.8 W
  • B 1632.4 W
  • C 2721.6 W
  • D 4216.4 W
Solution:
1844 Upvotes Verified Answer
The correct answer is: 2721.6 W

The net rate of energy exchange of the sphere is, P=εσAT4-Ts4.

Given:

ε=0.5

σ=5.67×10-8 W m-2 K4

A=4 m2

T=400 K and

Ts=200 K

Therefore,

P=0.5×5.67×10-8×44004-2004=2721.6 W

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