Respuesta :
Answer : The percent yield of titanium (II) oxide is, 142.5 % and the impurities could have caused the percent yield to be so high.
Explanation : Given,
Mass of titanium(II) sulfide = 20.0 g
Molar mass of titanium(II) sulfide = 79.9 g/mole
Molar mass of titanium(II) oxide = 63.9 g/mole
First we have to calculate the moles of titanium(II) sulfide.
[tex]\text{ Moles of titanium(II) sulfide}=\frac{\text{ Mass of titanium(II) sulfide}}{\text{ Molar mass of titanium(II) sulfide}}=\frac{20.0g}{79.9g/mole}=0.2503moles[/tex]
Now we have to calculate the moles of titanium(II) oxide.
The balanced chemical reaction is,
[tex]TiS+H_2O\rightarrow TiO+H_2S[/tex]
From the reaction, we conclude that
As, 1 mole of titanium(II) sulfide react to give 1 mole of titanium(II) oxide
So, 0.2503 mole of titanium(II) sulfide react to give 0.2503 mole of titanium(II) oxide
Now we have to calculate the mass of titanium(II) oxide.
[tex]\text{ Mass of titanium(II) oxide}=\text{ Moles of titanium(II) oxide}\times \text{ Molar mass of titanium(II) oxide}[/tex]
[tex]\text{ Mass of titanium(II) oxide}=(0.2503moles)\times (63.9g/mole)=15.99g[/tex]
To calculate the percentage yield of titanium (II) oxide, we use the equation:
[tex]\%\text{ yield}=\frac{\text{Experimental yield}}{\text{Theoretical yield}}\times 100[/tex]
Experimental yield of titanium (II) oxide = 22.8 g
Theoretical yield of titanium (II) oxide = 15.99 g
Putting values in above equation, we get:
[tex]\%\text{ yield of titanium (II) oxide}=\frac{22.8g}{15.99g}\times 100\\\\\% \text{yield of titanium (II) oxide}=142.5\%[/tex]
Hence, the percent yield of titanium (II) oxide is, 142.5 %
If the percent yields is greater than 100% that means the product of the reaction contains impurities which cause its mass to be greater than it actually.