Question

On average, each person in the industrialized world is responsible for the emission of 10,000 kg of carbon dioxide () every year. This includes that you generate directly, by burning fossil fuels to operate your car or your furnace, as well as generated on your behalf by electric generating stations and manufacturing plants. is a greenhouse gas that contributes to global warming. If you were to store your yearly emissions in a cube at STP, how long would each edge of the cube be?

Answer 1

Answer:

17.2 meters

Explanation:

Carbon dioxide (CO2) molecular mass is 44g/mol, then the number of moles of 10000kg carbon dioxide will be:

10,000kg * (1000g/kg)/  (44g/mol) = 227,272moles

The volume of gas in STP is 22.4 L/mol, then the volume of the carbon dioxide will be:

227,272 moles* 22.4L/mol= 5,090,909 L

One liter equal to 0.001 meter cubic. The formula for cube volume is $side^{3\\}$, if the volume is 5090909L then the side of the cube will be:

volume= $side^{3\\}$

5090909L * (0.001 $m^{3\\}$/L)= $side^{3\\}$

side= $\sqrt[3]{5090.909}$

side= 17.2m