Chapter 10, Problem 169A

Interpretation Introduction

Interpretation:

The titanium containing mineral having larger percentage of titanium needs to be determined.

Concept introduction:

The percentage of an element in a compound can be calculated as follows:

Percentage of an element in a compound $\text{=}\frac{\text{Number of atom}\times \text{Atomic mass of the element}}{\text{Molar mass of the compound}}\times 100\%$

Answer to Problem 169A

Rutile has larger percentage of titanium.

Explanation of Solution

Molar mass of TiO₂ is 79.866 g/mol.

Molar mass of FeTiO₃ is 157.76 g/mol.

Atomic mass of Ti is 47.867 g.

The percentage of Ti in both minerals can be calculated using the molar masses as follows:

% of Ti in TiO₂$\text{=}\frac{\text{47}\text{.867}}{79.866}\text{×100}\%=\frac{4786.7}{79.866}\%=59.93\%$

% of Ti in FeTiO₃$\text{=}\frac{\text{47}\text{.867}}{157.76}\text{×100}\%=\frac{4786.7}{157.76}\%=30.34\%$

Conclusion

Thus, rutile has larger percentage of Ti as compared to ilmenite.