Prove that radiative forcing grows logarithmically withCO 2 concentration under the circumstances illustrated in Figure 34 13 Specifically, assume that for wavelengths in the vicinity of the 15 m absorption peak, theCO 2 absorption coefficient ( ) exceeds the value at which absorption saturates Further, assume that ( )falls exponentially ( ) 0 C CO2 e c( 0 ) , beyond some 0 in the right wing of the 15 m absorption peak Here 0 is a constant and C CO2 is the concentration of atmospheric CO 2 Show that the range of wavelengths over which absorption is saturated grows proportional to the logarithm of C CO2 10 completely absorbed 100 4XCO2 1CO2 0 01 AX 10 4 12 14 16 18 20 wavelength (um absorption coefficient K (arbitrary units

Question: Prove that radiative forcing grows logarithmically withCO 2 concentration under the circumstances illustrated in Figure 34.13 Specifically, assume that for wavelengths in the vicinity of

Prove that radiative forcing grows logarithmically withCO₂ concentration under the circumstances illustrated in Figure 34.13

10 completely absorbed 100- 4XCO2 1CO2 0.01 AX 10-4 12 14 16

Specifically, assume that for wavelengths in the vicinity of the 15 ?m absorption peak, theCO₂ absorption coefficient ?(?) exceeds the value ?^? at which absorption saturates. Further, assume that ?(?)falls exponentially ?(?) = ?₀C _CO2 e^?c(???₀⁾, beyond some ?₀ in the right wing of the 15 ?m absorption peak. Here ?₀ is a constant and C_CO2 is the concentration of atmospheric CO₂. Show that the range of wavelengths over which absorption is saturated grows proportional to the logarithm of C_CO2 .

10 completely absorbed 100- 4XCO2 1CO2 0.01 AX 10-4 12 14 16 18 20 wavelength (um] absorption coefficient K (arbitrary units]

Step by Step Solution

★★★★★

3.58 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The region of saturated absorption exten... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related The Physics Energy Questions!

Compute the time for the oceanic mixed layer (350 Mkm 2 200 m) to warm by 3.2 K, using 50% of the energy coming from a change in radiative forcing of 3.7 W/m 2 . Advanced version: assume that...

Assume that 1% of a net radiative forcing of 3.7 W/m 2 world wide goes to melting ice over land. Estimate the rate of sea level rise from this melting.

Since the formation of the solar system 4.6 billion years ago, the net solar luminosity has increased roughly 40% from its initial value. Assuming that luminosity has increased at a constant rate,...

Problem Set 1: Build and Analyze a Simple Climate Model in EXCEL Models are ubiquitous in the analysis of environmental policy. Understanding what they are and how to evaluate them is critical. In...

2 Cloud Radiative Forcing The short and long wave radiative forcing Csw and Clw shall be a linear function of the cloud cover N with the constants of proportionality Msw = -78 W/m2 and mw = 35 W/m2...

8. In Fig. 3 the reconstructed temperatures indicate that the amount of global warming from 1750 to the present (or 2011) was close to 1 C. As noted in Fig. 4 there are various drivers, both...

1. Radiative forcing of greenhouse gases (20 points) The radiative forcings AFCH4 and AFN20, in W/m, caused by changes in the atmospheric concentrations of methane and nitrous oxide are sometimes...

How is it possible that ozone can have both a positive forcing effect and a negative forcing effect on global warming? The image below compares downgoing solar radiation transmission from the sun to...

Problem 1 : Radiative Heat Transfer ( 2 5 Points ) Your goal in this project is to estimate the increase in earth's surface temperature T due to changes in emissivity to the greenhouse gas ( GHG )...

Radiative forcing, R, measures the influence of carbon dioxide in altering the additional solar radiation trapped in Earths atmosphere. The International Panel on Climate Change (IPCC) in 1990...

Explain why the NIPA personal saving rate does not accurately measure the household saving rate.

C. Field observations suggest that a migrating ruby-throated hummingbird can fly across the Gulf of Mexico on a nonstop flight traveling a distance of about 800 . Assuming that the bird has an...

Import the RCFC Sales File. Pages 3 3 - 3 8 in the IDEA Data Analysis Workbook illustrate how to import a data file. What is the total of Net Sales for 2 0 2 3 ? "Field Statistics" at pages 4 2 - 4 5...

What evaluation would you perform to determine the effectiveness of a drug used to treat hypercholesterolaemia?

A system has the frequency response function Determine and accurately plot the following: (a) The amplitude response (b) The phase response (c) The phase delay (d) The group delay J2f (8+ 2f)(3+ j2f)...

Determine and accurately plot, on the same set of axes, the group delay and the phase delay for the systems with unit impulse responses: (a) h 1 (t) = 3e -5t u(t) (b) h 2 (t) = 5e -3t u (t) - 2e -5t...

An ideal quadrature phase shifter has frequency response function Find the outputs for the following inputs: (a) x 1 (t) = exp (j100Ït) (b) x 2 (t) = cos (100Ït) (c) x 3 (t) = sin...

i need help solving this problem 3. Sociology /Criminology/ Economics: Records comparing unemployment rates, violent crime rates per 100,000) and property crime rates (per 100,000) were gathered in...

E DESCRIPTIVE STATISTICS Chebyshev's theorem C Devany Espanol A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $29.11 with a standard deviation...

IEEE Std . 1 0 1 2 - 2 0 1 2 concepts, integrity levels system performance consist of ?