An electronic package with a surface area of 1 m2 placed in an orbiting space station is exposed to space. The electronics in this package dissipate all 1850 W of its power to space through its exposed surface. The exposed surface has an emissivity of 1.0 and an absorptivity of 0.25. Given: σ = 5.67*10-8 W/m2·K4

The temperature of the electronic package is 425K

Explanation:

Using the Stefan Boltzmann's equation,

Power dissipated = emissivity * stefan boltzmann constant * area of object * the fourth power of the temperature of the object in Kelvin

Power dissipated = 1850W, emissivity = 1.0, stefan boltzmann constant = 5.67*10^-8W/m^2K^4, area of electronic package = 1m^2

1850 = 1 * 5.67*10^-8 * 1 * T^4

T^4 = 1850/5.67*10^-8 = 3.26*10^10

T^4 = 3.26*10^10

T = (3.26*10^10) ^1/4 = 425K