# Environmental Engineering, disaggregation exponential growth question:Consider the following disaggregation of carbon emissions:Carbon emissions (kg C/year)= [Population] x [Energy (kJ/year/person)] x [Carbon (kg C/Energy (kJ)]Using the following estimates for the United States and assuming growth rates remain constant, 1990 amounts:Population: 2.5 x 108, growth rate: 0.6%Energy: 3.2 x 108 kJ/yr/person, growth rate: 0.5%Carbon emissions: 1.5 x 10-5 kg C/kJ, growth rate: -0.3%Find:a) The carbon emission rate in 2020b) The carbon emitted in those 30 yearsc) The total energy demand in 2020d) the per capita carbon emission rate in 2020

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Environmental Engineering, disaggregation exponential growth question:

Consider the following disaggregation of carbon emissions:

Carbon emissions (kg C/year)= [Population] x [Energy (kJ/year/person)] x [Carbon (kg C/Energy (kJ)]

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

1990 amounts:

• Population: 2.5 x 108, growth rate: 0.6%
• Energy: 3.2 x 108 kJ/yr/person, growth rate: 0.5%
• Carbon emissions: 1.5 x 10-5 kg C/kJ, growth rate: -0.3%

Find:

a) The carbon emission rate in 2020

b) The carbon emitted in those 30 years

c) The total energy demand in 2020

d) the per capita carbon emission rate in 2020

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Step 1

We have been given the following data for year 1990:

 Amounts in 1990 Growth rate (r) in %/yr Population 2.5×108 0.6 (KJ/yr)/person 3.2×108 0.5 Kg C/KJ 1.5×10-5 -0.3
Step 2

Calculating combined growth rate:

Step 3
• Calculating the carbon emission rate in 2020:... help_outlineImage TranscriptioncloseSubstituting values in above formula [Population] Carben emissions (kg Cyear) =[Energy (Wyear person)]x X X rCarbon (kg C Energy (kJ)] 1990 Carbon emission= {2.5x10°]*[3.2x10]»*[1.5x10 ] = 1.2x10kg Cyr fullscreen

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