At high noon,the sun delivers 1 000 W to each square meter of a blacktop road.What is the equilibrium temperature of the hot asphalt,assuming its emissivity e = 1? (s = 5.67 x10^-8 W/m²*K⁴). A)75 $\degree$C B)84 $\degree$C C)91 $\degree$C D)99 $\degree$C

Question

Quizplus · Accepted Answer

The equilibrium temperature can be calculated using the Stefan-Boltzmann law: 
P = σεAT^4 
where P is the power received by the surface, σ is the Stefan-Boltzmann constant, A is the surface area, ε is the emissivity, and T is the temperature in Kelvin. 
Rearranging for T, we get: 
T = (P/σεA)^1/4 
Substituting the known values, we get: 
T = [(1000 W/m^2) / (5.67 x 10^-8 W/m^2K^4)(1)(1 m^2)]^1/4 
T = 90.7 K 
Converting to Celsius: 
T = 90.7 ºC ≈ 91 ºC 
Therefore, the best choice is C.

At High Noon,the Sun Delivers 1 000 W to Each °\degree°

At High Noon,the Sun Delivers 1 000 W to Each $\degree$