Question

Constants | Periodic Table
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 5×106 tons of CO2 per year.

Part A

Assuming ideal gas behavior, 1.00 atm, and 37 ∘C, calculate the volume of CO2 produced by this power plant.
Express your answer using one significant figure.

V =    L  

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.

V =    L  

Part C

If it is stored underground as a gas at 34 ∘C and 70 atm , what volume does it occupy?
Express your answer using one significant figure.

V =     L  

Answer 1

From Ideal gas equation

PV = nRT

V = nRT/ P

Where, n = 5 * 10⁶ tons = ( 5 * 10⁶ *907184.74g)/(44.01g/mol) = 4535923700000g/44.01

= 1.03066* 10¹¹ mol

Pressure (P) = 1.00 atm

Gas constant (R) = 0.08206 L.atm/ Mol.K

Temperature (T) = 37^oC = 37 + 273 = 310 K

Volume (V) = 1.03066* 10¹¹ mol* ( 0.08206 L.atm/ Mol.K) * 310 K/ 1 atm = 2.62 * 10¹² L

2. Density = 1.2 g/cm³ = 1200 g/L

Density = Mass/ Volume

Volume = mass/ density = 4535923700000g/( 1200g/L) = 3.78* 10⁹ L

3. Temperature (T) = 34^oC = 34 + 273 = 307 K

Pressure (P) = 70 atm

Volume = ( 1.03066* 10¹¹ mol)* (0.08206 L.atm/ Mol.K) * 307K/ 70atm = 3.71* 10¹⁰ L