Assume an n-layer planet with a specified E in . The surface temperature for this planet can

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Assume an n-layer planet with a specified Ein. The surface temperature for this planet can be written (by combining Equations 4.2 and 4.5):

Equations 4.2 

Ein area S(1  a)R __ S(1  a) 4 R 4

Equations 4.2  

T= (n+1)S(1-a) 40

Equation 6.6 

T= 4/(n+1)Ein 0

(a) One way to calculate the no-feedback climate sensitivity is to estimate the change in temperature for a + 1 W/m2 increase in Ein. Take the derivative of Equation 6.6 to obtain the formula for dT=dEin.

Equation 6.6

The previous section described the first half of the climate problem: how humans have perturbed the planet's

(b) Plug in values for n = 0 and Ein = 238 W/m2. Do you get the same answer we got in ?

(c) What is the no-feedback sensitivity (in K per W/m2) for a one-layer planet with the same Ein?

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