Answer :
Answer:
34.2 g is the mass of carbon dioxide gas one have in the container.
Explanation:
Moles of [tex]O_2[/tex]:-
Mass = 49.8 g
Molar mass of oxygen gas = 32 g/mol
The formula for the calculation of moles is shown below:
[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]
Thus,
[tex]Moles= \frac{49.8\ g}{32\ g/mol}[/tex]
[tex]Moles_{O_2}= 1.55625\ mol[/tex]
Since pressure and volume are constant, we can use the Avogadro's law as:-
[tex]\frac {V_1}{n_1}=\frac {V_2}{n_2}[/tex]
Given ,
V₂ is twice the volume of V₁
V₂ = 2V₁
n₁ = ?
n₂ = 1.55625 mol
Using above equation as:
[tex]\frac {V_1}{n_1}=\frac {V_2}{n_2}[/tex]
[tex]\frac {V_1}{n_1}=\frac {2\times V_1}{1.55625}[/tex]
n₁ = 0.778125 moles
Moles of carbon dioxide = 0.778125 moles
Molar mass of [tex]CO_2[/tex] = 44.0 g/mol
Mass of [tex]CO_2[/tex] = Moles × Molar mass = 0.778125 × 44.0 g = 34.2 g
34.2 g is the mass of carbon dioxide gas one have in the container.