Answer: The mass of carbon dioxide produced is 352 grams
Explanation:
We are given:
Moles of ethanol = 4 mol
For the given chemical equation:
[tex]C_2H_5OH(g)+3O_2(g)\rightarrow 2CO_2(g)+3H_2O(g)[/tex]
By Stoichiometry of the reaction:
1 mole of ethanol produces 2 moles of carbon dioxide
So, 4 moles of ethanol will produce = [tex]\frac{2}{1}\times 4=8mol[/tex] of carbon dioxide
To calculate the mass of carbon dioxide, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
Moles of carbon dioxide = 8 moles
Molar mass of carbon dioxide = 44 g/mol
Putting values in above equation:
[tex]8mol=\frac{\text{Mass of carbon dioxide}}{44g/mol}\\\\\text{Mass of carbon dioxide}=(8mol\times 44g/mol)=352g[/tex]
Hence, the mass of carbon dioxide produced is 352 grams