Ozone calculations Refer to Exercise. If the ozone layer is estimated to be 0.31 centimete...

Ozone calculations Refer to Exercise. If the ozone layer is estimated to be 0.31 centimeter thick and, for a wavelength of 3055 × 10−8 centimeter, I0/I is measured as 2.05, approximate the angle the sun made with the vertical at the time of the measurement.

Thickness of the ozone layer The thickness of the ozone layer can be estimated using the formula

where I0 is the intensity of a particular wavelength of light from the sun before it reaches the atmosphere, I is the inten­sity of the same wavelength after passing through a layer of ozone x centimeters thick, k is the absorption constant of ozone for that wavelength, and θ is the acute angle that the sunlight makes with the vertical. Suppose that for a wave­length of 3055 × 10−8 centimeter with k ≈ 1.88, I0/I is measured as 1.72 and θ = 12°. Approximate the thickness of the ozone layer to the nearest 0.01 centimeter.