<u>Answer:</u> The percent yield of oxygen gas is 67.53 %.
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of water = 17.0 g
Molar mass of water = 18 g/mol
Putting values in equation 1, we get:
![\text{Moles of water}=\frac{17.0g}{18g/mol}=0.944mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20water%7D%3D%5Cfrac%7B17.0g%7D%7B18g%2Fmol%7D%3D0.944mol)
For the given chemical equation:
![2H_2O\rightarrow 2H_2+O_2](https://tex.z-dn.net/?f=2H_2O%5Crightarrow%202H_2%2BO_2)
By Stoichiometry of the reaction:
2 moles of water produces 1 mole of oxygen gas
So, 0.944 moles of water will produce =
of oxygen gas
Now, calculating the mass of oxygen gas from equation 1, we get:
Molar mass of oxygen gas = 32 g/mol
Moles of oxygen gas = 0.472 moles
Putting values in equation 1, we get:
![0.472mol=\frac{\text{Mass of oxygen gas}}{32g/mol}\\\\\text{Mass of oxygen gas}=(0.472mol\times 32g/mol)=15.104g](https://tex.z-dn.net/?f=0.472mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20oxygen%20gas%7D%7D%7B32g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20oxygen%20gas%7D%3D%280.472mol%5Ctimes%2032g%2Fmol%29%3D15.104g)
To calculate the percentage yield of oxygen gas, 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)
Experimental yield of oxygen gas = 10.2 g
Theoretical yield of oxygen gas = 15.104 g
Putting values in above equation, we get:
![\%\text{ yield of oxygen gas}=\frac{10.2g}{15.104g}\times 100\\\\\% \text{yield of oxygen gas}=67.53\%](https://tex.z-dn.net/?f=%5C%25%5Ctext%7B%20yield%20of%20oxygen%20gas%7D%3D%5Cfrac%7B10.2g%7D%7B15.104g%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%20%5Ctext%7Byield%20of%20oxygen%20gas%7D%3D67.53%5C%25)
Hence, the percent yield of oxygen gas is 67.53 %.