Question

Verify the following chemical equation is balanced

TiO₂ + 3C → Ti + 2CO
If you begin with 28.6 grams of carbon, how many moles of Ti does that make?
a. 2.38 x 10³ moles Ti
b. 1.19 x 10³ moles of Ti
c. 1.19 moles of Ti
d. 1.10 x 10²³ moles of Ti

Answer 1

Starting with 28.6 grams of carbon, it would produce 0.454 moles of Ti.

Step-by-step explanation:

To determine the number of moles of Ti from 28.6 grams of carbon, we need to use the stoichiometry of the balanced chemical equation. The stoichiometric coefficient of carbon is 3, which means that for every 3 moles of carbon, we get 1 mole of Ti. So, we can set up a proportion:

3 moles of C / 28.6 grams of C = 1 mole of Ti / x

By cross-multiplying and solving for x, we find that x = 28.6 grams of C * 1 mole of Ti / 3 moles of C = 9.53 grams of Ti

So, starting with 28.6 grams of carbon would produce 9.53 grams of titanium, which is equivalent to 0.454 moles of Ti.