# Question #6b461

##### 1 Answer

#### 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

#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.