Respuesta :
Answer: The limiting reagent is 1-propanol and the excess reagent is oxygen gas and its mass remaining is 30.144 grams. The mass of carbon dioxide released is 17.56 grams
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] .....(1)
- For 1‑propanol:
Given mass of 1‑propanol= 8.00 g
Molar mass of 1‑propanol= 60g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of 1‑propanol}=\frac{8.00g}{60g/mol}=0.133mol[/tex]
- For oxygen gas:
Given mass of oxygen gas = 49.3 g
Molar mass of oxygen gas = 32 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of oxygen gas}=\frac{49.3g}{32g/mol}=1.54mol[/tex]
The chemical equation for the combustion of 1-propanol follows:
[tex]2C_3H_8O+9O_2\rightarrow 6CO_2+8H_2O[/tex]
By Stoichiometry of the reaction:
2 moles of 1‑propanol reacts with 9 moles of oxygen gas
So, 0.133 moles of 1‑propanol will react with = [tex]\frac{9}{2}\times 0.133=0.598mol[/tex] of oxygen gas
As, given amount of oxygen gas is more than the required amount. So, it is considered as an excess reagent.
Thus, 1‑propanol is considered as a limiting reagent because it limits the formation of product.
Moles of excess reagent (oxygen gas) = [1.54 - 0.598] = 0.942 moles
By Stoichiometry of the reaction:
2 moles of 1‑propanol produces 6 moles of carbon dioxide
So, 0.133 moles of 1‑propanol will produce = [tex]\frac{6}{2}\times 0.133=0.399moles[/tex] of carbon dioxide.
Now, calculating the mass of oxygen gas and carbon dioxide from equation 1, we get:
- For oxygen gas:
Molar mass of oxygen gas = 32 g/mol
Moles of oxygen gas = 0.942 moles
Putting values in equation 1, we get:
[tex]0.942mol=\frac{\text{Mass of oxygen gas}}{32g/mol}\\\\\text{Mass of oxygen gas}=(0.942mol\times 32g/mol)=30.144g[/tex]
- For carbon dioxide gas:
Molar mass of carbon dioxide = 44 g/mol
Moles of carbon dioxide = 0.399 moles
Putting values in equation 1, we get:
[tex]0.399mol=\frac{\text{Mass of carbon dioxide}}{44g/mol}\\\\\text{Mass of carbon dioxide}=(0.399mol\times 44g/mol)=17.56g[/tex]
Hence, the limiting reagent is 1-propanol and the excess reagent is oxygen gas and its mass remaining is 30.144 grams. The mass of carbon dioxide released is 17.56 grams