Calculate the volume Carbon dioxide, which is recognized as the major contributo

Question

Calculate the volume

Carbon dioxide, which is recognized as the major contributor to global warming as a "greenhouse gas," is formed when fossil fuels are combusted, as in electrical power plants fueled by coal, oil, or natural gas. One potential way to reduce the amount of CO2 added to the atmosphere is to store it as a compressed gas in underground formations. Consider a 1000-megawatt coal-fired power plant that produces about 4106 tons of CO2 per year.

Part A

Assuming ideal gas behavior, 1.00 atm, and 27?C, calculate the volume of CO2 produced by this power plant.

Express your answer using one significant figure.

Part B

If the CO2 is stored underground as a liquid at 10 ?C and 120 atm and a density of 1.2 g/cm3, what volume does it possess?

Express your answer using one significant figure.

Part C

If it is stored underground as a gas at 34?C and 90atm , what volume does it occupy?

Express your answer using one significant figure.

Explanation / Answer

E = 1000 MW coal plant... m = 4*10^6 ton of CO2 / years

Part A

Assuming ideal gas behavior, 1.00 atm, and 27?C, calculate the volume of CO2 produced by this power plant.

Find CO2 produced:

mass = (4*10^6 )*10^6 grams --> 4*10^12 grams

mol = mass/MW =  4*10^12 grams / 44 g/mol = ( 4*10^12)/44 = 90909090909.1 mol of CO2

PV = nRT

V = nRT/P = 90909090909.1*8.314*300/(101325) = 2237803647.13 m3

(1 sig fig)

V = 2*10^10^8 m3

PART B)

If the CO2 is stored underground as a liquid at 10 ?C and 120 atm and a density of 1.2 g/cm3, what volume does it possess?

Vliquid = mass/D = (4*10^12) / (1.2) = 3.333*10^12 cm3 = ( 3.333*10^12)/ 1000000 = 3333000 m3

1 sig fig --> 3*10^6 m3

Part C

If it is stored underground as a gas at 34?C and 90atm , what volume does it occupy?

PV = nRT

V = nRT/P = (90909090909.1)(8.314)(34+273)/(90*101325) = 25444656.28 m3

V = 3 *10^7 m3

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