# Exponential growth rate of carbon emissions

Consider the following disaggregation of carbon emissions:

Carbon emissions(kg C/yr)= Population x (Energy(kJ/yr)/Person) x

(Carbon (kgC)/Energy(kJ))

Using the following estimates for the United States and assuming that growth rates remain constant,

Population (kJ/yr)/Person kg C/kJ

1990 amounts 250x10^6 320x10^6 15x10^-6

Growth, r (%/yr) 0.6 0.5 -0.3

a) Find the carbon emission rate in 2020

b) Find the carbon emitted in those 30 years

c) Find the total energy demand in 2020

d) Find the per capita carbon emission rate in 2020

#### Solution Summary

It calculates the carbon emissions, which has an exponential growth rate. The solution is detailed and has a '5/5' rating.