Question

Titanium can be obtained from its oxide by the reaction shown here. When 42.0 g of TiO₂ react with 11.5 g C, 15.9 g Ti are obtained. What is the percent yield for the reaction?

Answer 1

The percent yield for the reaction is 62.6%.

Step-by-step explanation:

The percent yield for a reaction can be calculated using the formula:

Percent Yield = (Actual Yield / Theoretical Yield) × 100%

In this case, the question provides the actual and theoretical yield of titanium. The actual yield is given as 15.9 g, while the theoretical yield can be calculated by multiplying the number of moles of TiO₂ (42.0 g) by the molar mass of titanium (47.867 g/mol).

To calculate the percent yield:

1. Calculate the theoretical yield: (42.0 g TiO₂) * (1 mol TiO₂ / 79.866 g TiO₂) * (1 mol Ti / 1 mol TiO₂) * (47.867 g Ti / 1 mol Ti) = 25.4 g Ti
2. Plug the values into the formula: (15.9 g Ti / 25.4 g Ti) × 100% = 62.6%