Concept explainers
If the insolation of the Sun shining on seawater is 8.7
The change in temperature of a
Answer to Problem 13PEB
Solution:
Explanation of Solution
Given data:
Insolation of the sun is
The albedo of the sea water is
The area of the layer at the surface
Time is 1 hr.
Density of seawater is
Thickness of the layer of seawater is
Specific heat of seawater 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 seawater:
Convert
Recall the formula for volume.
Recall the formula for density.
Substitute
Substitute
Convert energy to calorie heat:
Determine the temperature change of seawater.
Recall the formula for heat:
Substitute
Conclusion:
The change in temperature is
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