Answer:
759.99W/m²
Explanation:
Question: If the temperature of the sheet is 77C,what is the incident solar radiation on aday with Tinf= Tsurr= 16°C?
Given
Energy Equation of the Gas
αs * Gs * A + h * A * (T inf - Tg) + εσA (Tsurr⁴- Tg⁴) = 0
Where σ= 5.67 *10^-8 W/m²K⁴ (Stefan-Boltzmann constant)
ε = 0.13 (Emisivity)
αs = 0.65 (Absorptivity for solar radiation)
h = 7W/m²K⁴
Tg = 77 + 273.15K = 350.15K
T inf = 16 + 273.15 = 288.15K
T surr= T inf = 288.15
Substitute the above values in the Gas Equation, we have
0.65 * Gs * A + 7 * A * (288.15 - 350.15) + 0.13 * 5.67 * 10^-8 * A * (288.15⁴ - 350.15⁴) = 0
0.65 * Gs * A = - 7 * A * (288.15 - 350.15) - 0.13 * 5.67 * 10^-8 * A * (288.15⁴ - 350.15⁴)
A cancels out, so we are left with
0.65 * Gs = - 7 * (288.15 - 350.15) - 0.13 * 5.67 * 10^-8 * (288.15⁴ - 350.15⁴)
0.65Gs = 434 - 0.7372 * 10^-8(−8,137,940,481.697)
0.65Gs = 434 + 0.7372 * 81.37940481697
0.65Gs = 493.992897231070284
Gs = 493.992897231070284/0.65
Gs = 759.9890726631850
Gs = 759.99W/m² ------- Approximated
