Question

what is the percent yield of titanium (II) oxide if 20.0 grams of titanium (II) sulfide is reacted with water? The actual yield of titanium (II) oxide obtained was 22.8 grams. what could have caused the percent yield to be so high

Answer 1

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.

`\text{ Moles of titanium(II) sulfide}=\frac{\text{ Mass of titanium(II) sulfide}}{\text{ Molar mass of titanium(II) sulfide}}=(20.0g)/(79.9g/mole)=0.2503moles`

Now we have to calculate the moles of titanium(II) oxide.

The balanced chemical reaction is,

`TiS+H_2O\rightarrow TiO+H_2S`

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.

`\text{ Mass of titanium(II) oxide}=\text{ Moles of titanium(II) oxide}* \text{ Molar mass of titanium(II) oxide}`

`\text{ Mass of titanium(II) oxide}=(0.2503moles)* (63.9g/mole)=15.99g`

To calculate the percentage yield of titanium (II) oxide, we use the equation:

`\%\text{ yield}=\frac{\text{Experimental yield}}{\text{Theoretical yield}}* 100`

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:

`\%\text{ yield of titanium (II) oxide}=(22.8g)/(15.99g)* 100\\\\\% \text{yield of titanium (II) oxide}=142.5\%`

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.