Answer:
At [tex]\mathbf{T^4 = 1.776 \times 10^{10}}[/tex], the SunMaxx Solar TitanPower ALDH29-27A (flat-plate) and Duda Energy Duda Solar SC5820 (cylinder) solar collectors will have the same efficiency.
Explanation:
From the given information, the objective that is meant to be carried out is to determine at what ∆T does the SunMaxx Solar TitanPower ALDH29-27A (flat-plate) and Duda Energy Duda Solar SC5820 (cylinder) solar collectors have the same efficiency.
Provided that:
The average irradiance = 1000 W/m²
So using the calculation based on the quadratic efficiency equation for each collector.
Stefan Boltzmann constant [tex]\sigma[/tex] = [tex]5.63 \times10^{-8}[/tex]
The expression for irradiance can be represented as Q/A
where;
Q = heat radiated and A = Are of the surface
Thus;
Irradiance (Q/A) = [tex]\sigma \times T^4[/tex]
1000 = [tex]5.63\times 10^8 \times T^4[/tex]
[tex]T^4 = \dfrac{1000}{5.63\times 10^{-8}}[/tex]
[tex]\mathbf{T^4 = 1.776 \times 10^{10}}[/tex]
