Answer:
The mass of carbon dioxide is 28.6 grams
Explanation:
<u>Step 1:</u> Data given
Mass of O2 = 41.6 grams
Volume of the O2 container = 2V
Volume of the CO2 container = V
Pressure and temperature are the same
<u><em>Step 2:</em></u> Ideal gas law
The ideal gas law = p*V=nRT
For O2: p*2V = n(O2)*R*T
For CO2: p*V = n(CO2)*R*T
n(O2)*R*T / P*2V = n(CO2)*R*T / P*V
Since P, R and T are contstant, we can simplify this to:
n(O2)/2 = n(CO2)
<u>Step 3:</u> Calculate moles of O2
Moles O2 = mass O2/ Molar mass O2
Moles O2 = 41.6 grams / 32 g/mol
Moles O2 = 1.3 mol O2
The number of moles CO2 = 0.65 mol
Mass of CO2 = Moles CO2 * Molar Mass CO2
Mass of CO2 = 0.65 mol * 44.01 g/mol
Mass of CO2 = 28.6 grams
The mass of carbon dioxide is 28.6 grams
