Question #6b461

1 Answer
Nov 30, 2015

Answer:

#"551 quad"#

Explanation:

Your strategy here will be to convert the projected energy consumption from kilojoules to Joules, then from Joules to British thermal units, and finally from British thermal units to quads.

So, one kilojoule contains #10^3# Joules, which means that the energy consumption will be equal to

#5.81 * 10^(17) color(red)(cancel(color(black)("kJ"))) * (10^3"J")/(1color(red)(cancel(color(black)("kJ")))) = 5.81 * 10^(20)"J"#

Next, use the given conversion factor to go from Joules to Btu's

#5.81 * 10^(20) color(red)(cancel(color(black)("J"))) * "1 Btu"/(1054color(red)(cancel(color(black)("J")))) = 5.51 * 10^(17)"Btu"#

Finally, go from Btu's to quads

#5.51 * 10^(17) color(red)(cancel(color(black)("Btu"))) * "1 quad"/(10^(15)color(red)(cancel(color(black)("Btu")))) = 5.51 * 10^2"quad" = color(green)("551 quad")#

The answer is rounded to three sig figs.