Question #166242

What mass of carbon dioxide is present in 1.00 m3 of dry air at a temperature of 15 ∘C and a pressure of 689 torr?

Expert's answer

Pressure, "P" = 689 torr = 91859.1 Pa

Volume, "V" = 1 m^{3 } = 1000 L

Temperature, "T" = "15^{\\omicron}" C = 288 K

Molar mass of CO_{2}, "M" = 44 g/mol

From Ideal gas equation,

"PV=nRT"

"\\Rightarrow n=\\dfrac{PV}{RT}"

"\\Rightarrow\\dfrac{m}{M}=\\dfrac{PV}{RT}"

"\\Rightarrow m=\\dfrac{MPV}{RT}"

"\\Rightarrow m=\\dfrac{44\\times91859.1\\times1000}{8.314\\times10^3\\times288}"

"\\Rightarrow m=1687.99\\approx1688g"

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