Answer to Question #178845 in General Chemistry for Jenny

Question

What mass in kilograms of CO₂ is needed to fill an 80.0 L tank to a pressure of 150.0 atm at 27.0 °C?

Answer 1

We can use the ideal gas law equation to find the mass of CO₂

PV = nRT

P - pressure - 150.0 atm x 101 325 Pa/atm = 15 198 750 Pa 

V - volume - 80 x 10⁻³ m³

n - number of moles 

R - universal gas constant - 8.314 Jmol⁻¹K⁻¹

T - temperature in K - 27 °C + 273 = 300 K

substituting the values in the equation 

15 198 750 Pa x 80 x 10⁻³ m³ = n x 8.314 Jmol⁻¹K⁻¹ x 300 K

n = 487.5 mol

molar mass of CO₂ is 44 g/mol 

mass of CO₂ - 44 g/mol x 487.5 mol = 21 450 g

mass of CO₂ required is 21.450 kg