The robot HooRU is lost in space, floating around aimlessly, and radiates heat into the depths of the cosmos at the rate of 10.3 W. HooRU's surface area is 1.77 m2 and the emissivity of its surface is 0.235. Ignoring the radiation that HooRU absorbs from the cold universe, what is HooRU's temperature T?

Respuesta :

Answer:

Explanation:

We shall use the stefan's law to solve the problem .

E = eA σ T⁴

E is heat radiated per second , e is emissivity , A is area , σ is stefan's constant and T is temperature of hot surface.

Substituting the given values,

10.3 = .235 x 1.77 x 5.67 x 10⁻⁸ T⁴

T⁴ = 4.367 x 10⁸

1.4456 x 10²

= 144.56 K

The Stefan's law describes the power of  black body radiation in terms of its temperature. The temperature of the robot HooRU that has been lost in the space is 144.56 K.

The temperature can be determined by the Stefan's law  

[tex]\bold {E = eA\ \sigma\ T^4}[/tex]  

Where

E - heat radiated per second = 10.3

e-  emissivity = 0.235

A - surface area =  1.77 m2  

σ -  Stefan's constant  = 5.67x10⁻⁸

T - temperature of hot surface  

Put the values in the formula,

[tex]\bold {10.3 = 0 .235 \times 1.77 \times 5.67x10^-^8 \times T^4}\\\\\bold {T^4 = 4.367 x 10^8 }\\\\\bold {T= 144.56\ K}[/tex]  

Therefore, the temperature of the robot HooRU that has been lost in the space is 144.56 K.

To know more about Stefan's law

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