Using the data in table provided, calculate per capita energy consumption in United States in 2004, in units of GJ per person Using the triangle function, pick appropriate values of the parameters a...

ME760: ASSIGNMENT #2 Due: Tuesday October 19th 2010 1. It is reasonable to expect that given growing wealth, the emergence of a middle class, access to modern conveniences, and so forth, the "emerging" countries of the world may experience exponential growth in energy consumption over the short to medium term. From data introduced earlier, these countries consumed 136EJ of energy in 1990 and 198EJ in 2004. Use these two data points and the exponential curve to predict energy consumption in the year 2020. 2. Current global energy consumption trends combined with per capita energy consumption of some of the most affluent countries, such as the United States, can be used to project the future course of global energy demand over the long term. a) Using the data in table provided, calculate per capita energy consumption in United States in 2004, in units of GJ per person. Table 1: Selected Kaya equation values for a selection of countries, 2004 P (million) GDP/P ($/P) E/GDP (MJ/$GDP) China 1298.8 1725 28.05 Germany 82.4 34031 5.53 India 1065.1 740 20.65 Japan 127.3 35998 5.21 United States 293.0 42846 8.44 b) If the world population ultimately stabilizes at 10 billion people, each with the energy intensity of the average US citizen in 2004, at what level would the ultimate total annual energy consumption stabilize, in EJ/year? c) From data introduced earlier, it can be seen that the world reached the 37EJ/year mark in 1900, and the 100EJ/year mark in 1950. Using these data points and the logistics formula, calculate the number of years from 2004 until the year in which the world will reach 97% of the value calculated in part b). d) Using the triangle function, pick appropriate values of the parameters a and b such that the triangle formula has approximately the same shape as the logistics formula. e) Plot the logistics and triangle functions from parts c) and d) on the same axes, with year on the x axis and the total energy consumption on the y axis. 3. A power plant...