Answer to Question #166242 in General Chemistry for Charsity

Question

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?

Answer 1

Pressure, $P$ = 689 torr = 91859.1 Pa

Volume, $V$ = 1 m³ = 1000 L

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

Molar mass of CO₂, $M$ = 44 g/mol

From Ideal gas equation,

$PV=nRT$

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

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

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

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

$\Rightarrow m=1687.99\approx1688g$