To find:(a)radiative force R when the carbon dioxide level is double the preindustrial amount of carbon dioxide in watts per square meter by using {R}={6.3}frac{ ln{{C}}}{{C}_{{0}}} (b)the global temperature increase T by using T(R)=1.03R

Kaycee Roche 2021-01-10 Answered
To find:(a)radiative force R when the carbon dioxide level is double the preindustrial amount of carbon dioxide in watts per square meter by using\ R=6.3lnCC0
(b)the global temperature increase T by using T(R)=1.03R
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Expert Answer

davonliefI
Answered 2021-01-11 Author has 79 answers
Concept:
Modeling is a method of simulating the real life situations with mathematical equations. Using these models we can forecast the future behavior. We can translate the mathematical word problem into a math expression using variables.
Calculation:
The given model is R=klnCC0, R is the radiative forcing in watts per square meter. Where ( is the preindustrial amount of carbon dioxide,
C is the current level of carbon dioxide.
And, according to IPCC, k = 6.3
(a) Let R=6.3lnCC0
And given that, the carbon dioxide level = double the preindustrial amount of carbon dioxide
That is, C=2C0
So, let C=2C0
R=63In2C0C0
Cancel C0,R=6.3ln2C0C0
R=63ln2
Using calculator, R=6.3×0.6931
R = 4.3668
R4.37 watts per square meter.
Hence, radiative force R when the carbon dioxide level is double the preindustrial amount of carbon dioxide is 4.37 watts per square meter.
(b) Let R = 4.37 watts per square meter
And the global temperature increase T(R) = 1.03R
So, when R=4.37,T(R)=1.03×4.37
Therefore, T(R) = 4.50
Final statement:
Based on the given function,
(a) radiative force R when the carbon dioxide level is double the preindustrial amount of carbon dioxide is 4.37 watts per square meter.
(b) the global temperature increase T = 4.50
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