Concept explainers
If the insolation of the Sun shining on concrete is 7.3 102 W/m2, what is the change in temperature of a 1.5 m2 by 5.0 cm thick layer of concrete in 1 hr? (Assume the albedo of the concrete is 0.55, the specific heat of concrete is 0.16 cal/gC°, and the density of concrete is 2.4 g/cm3.)
The change in temperature of a
Answer to Problem 12PEB
Solution:
Explanation of Solution
Given data:
Insolation of the sun is
The albedo of the concrete is
The area of the layer
Time is 1 hr.
Density of concrete is
Thickness of the layer is
Specific heat of concrete is
Formula used:
Write the equation for the incoming solar radiation by the reflected solar radiation to determine the albedo.
Here,
Write the equation for energy from the absorbed solar radiation:
Here,
Write the formula for density.
Here,
Write the formula for volume.
Here,
Write the formula for heat.
Here,
Explanation:
Determine reflected radiation:
Recall the equation for the incoming solar radiation by the reflected solar radiation to determine the albedo, denoted by alpha.
Substitute
Convert hours to seconds:
Determine energy:
Recall the equation for energy from the absorbed solar radiation:
Substitute
Determine the mass of concrete:
Convert
Recall the formula for volume.
Recall the formula for density.
Substitute
Substitute
Convert energy to calorie heat:
Determine the temperature change of concrete.
Recall the formula for heat:
Substitute
Conclusion:
The change in temperature is
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