emancipezN

2021-08-14

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$R=6.3In\frac{C}{{C}_{0}}$ .

b) the global temperature increase T by using$T\left(R\right)=1.03R$

a) radiative force R when the carbon dioxide level is double the preindustrial amount of carbon dioxide in watts per square meter by using

b) the global temperature increase T by using

tabuordy

Skilled2021-08-15Added 90 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$R=kIn\frac{C}{{C}_{0}}$ , R is the radiative forcing in watts per square meter.

Where$C}_{0$ is the preindustrial amount of carbon dioxide,

C is the current level of carbon dioxide.

And, according to IPCC,$k=6.3$

a) Let$R=6.3In\frac{C}{{C}_{0}}$

And given that, the carbon dioxide level = double the preindustrial amount of carbon dioxide

That is,$C=2{C}_{0}$

So, let$C=2{C}_{0}$

$R=6.3In\frac{2{C}_{0}}{{C}_{0}}$

Cancel$C}_{0},R=6.3In\frac{2{C}_{0}}{{C}_{0}$

$R=6.3In2$

Using calculator,$R=6.3\times 0.6931$

$R=4.3668$

$R\approx 4.37$ 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$T\left(R\right)=1.03R$

So, when$R=4.37,T\left(R\right)=1.03\times 4.37$

Therefore,$T\left(R\right)=4.50$

Final statement:

Based on the 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$T=4.50$ .

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

Where

C is the current level of carbon dioxide.

And, according to IPCC,

a) Let

And given that, the carbon dioxide level = double the preindustrial amount of carbon dioxide

That is,

So, let

Cancel

Using calculator,

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

And the global temperature increase

So, when

Therefore,

Final statement:

Based on the 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

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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