Question

In average, each person in the industrialized world is responsible for the emission of 10,000 kg of carbon dioxide (CO2)(CO2) every year. This includes CO2CO2CO_2 that you generate directly, by burning fossil fuels to operate your car or your furnace, as well as CO2CO2CO_2 generated on your behalf by electric generating stations and manufacturing plants. CO2CO2CO_2 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:

The length of the cubical container will be 17.206 m.

Explanation:

Amount of carbon dioxide gas generated in year by person = 10,000 kg

1 kg = 1000 g

10,000 kg = 10,000 × 1000 g = 10,000,000 g

Moles of carbon dioxide = $\frac{10,000,000 g}{44 g/mol}=227,272.72 mol$

Volume of carbon dioxide gas at STP= V

STP conditions = P = 1 atm , T = 273 K

Using Ideal gas equation ;

$PV=nRT$

$V=\frac{nRT}{P}=\frac{227,272.72mol\times 0.0821 atm L/mol K\times 273 K}{1 atm}$

$V=5,093,931.82 L$

$1 L = 0.001 m^3$

$V=5,093,931.82 L=5,093,931.82 \times 0.001 m^3=5,093.93182 m^3$

Let the side of the cube = a

Volume of the cube = $a^3$

$V=5,093.93182 m^3$

$a^3=5,093.93182 m^3$

$a=\sqrt{5,093.93182 m^3}=17.206 m$

The length of the cubical container will be 17.206 m.