<u>Answer:</u> The amount of carbon dioxide formed in the reaction is 5.663 grams
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of oxygen gas = 8 g
Molar mass of oxygen gas = 32 g/mol
Putting values in equation 1, we get:
![\text{Moles of oxygen gas}=\frac{8g}{32g/mol}=0.25mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20oxygen%20gas%7D%3D%5Cfrac%7B8g%7D%7B32g%2Fmol%7D%3D0.25mol)
For the given chemical equation:
![7O_2(g)+2C_2H_6(g)\rightarrow 4CO_2(g)+6H_2O(l)](https://tex.z-dn.net/?f=7O_2%28g%29%2B2C_2H_6%28g%29%5Crightarrow%204CO_2%28g%29%2B6H_2O%28l%29)
By Stoichiometry of the reaction:
7 moles of oxygen gas produces 4 moles of carbon dioxide
So, 0.25 moles of oxygen gas will produce =
of carbon dioxide
Now, calculating the mass of carbon dioxide from equation 1, we get:
Molar mass of carbon dioxide = 44 g/mol
Moles of carbon dioxide = 0.143 moles
Putting values in equation 1, we get:
![0.143mol=\frac{\text{Mass of carbon dioxide}}{44g/mol}\\\\\text{Mass of carbon dioxide}=(0.143mol\times 44g/mol)=6.292g](https://tex.z-dn.net/?f=0.143mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20carbon%20dioxide%7D%7D%7B44g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20carbon%20dioxide%7D%3D%280.143mol%5Ctimes%2044g%2Fmol%29%3D6.292g)
To calculate the experimental yield of carbon dioxide, we use the equation:
![\%\text{ yield}=\frac{\text{Experimental yield}}{\text{Theoretical yield}}\times 100](https://tex.z-dn.net/?f=%5C%25%5Ctext%7B%20yield%7D%3D%5Cfrac%7B%5Ctext%7BExperimental%20yield%7D%7D%7B%5Ctext%7BTheoretical%20yield%7D%7D%5Ctimes%20100)
Percentage yield of carbon dioxide = 90 %
Theoretical yield of carbon dioxide = 6.292 g
Putting values in above equation, we get:
![90=\frac{\text{Experimental yield of carbon dioxide}}{6.292g}\times 100\\\\\text{Experimental yield of carbon dioxide}=\frac{90\times 6.292}{100}=5.663g](https://tex.z-dn.net/?f=90%3D%5Cfrac%7B%5Ctext%7BExperimental%20yield%20of%20carbon%20dioxide%7D%7D%7B6.292g%7D%5Ctimes%20100%5C%5C%5C%5C%5Ctext%7BExperimental%20yield%20of%20carbon%20dioxide%7D%3D%5Cfrac%7B90%5Ctimes%206.292%7D%7B100%7D%3D5.663g)
Hence, the amount of carbon dioxide formed in the reaction is 5.663 grams