Input interpretation
![titanium silicide | elemental composition](../image_source/af0787a20906291a1002bd5557a2f71e.png)
titanium silicide | elemental composition
Result
![Find the elemental composition for titanium silicide in terms of the atom and mass percents: atom percent = N_i/N_atoms × 100% mass percent = (N_im_i)/m × 100% Plan: • Write the chemical formula and gather atomic masses from the periodic table. • Determine values for N_i, m_i, N_atoms and m using these items. • Finally, compute the percents and check the results. Write the chemical formula: TiSi_2 Use the chemical formula to count the number of atoms, N_i, for each element and find the total number of atoms, N_atoms, per molecule: | number of atoms Si (silicon) | 2 Ti (titanium) | 1 N_atoms = 2 + 1 = 3 Divide each N_i by N_atoms to calculate atom fractions. Then use the property that atom fractions must sum to one to check the work: | number of atoms | atom fraction Si (silicon) | 2 | 2/3 Ti (titanium) | 1 | 1/3 Check: 2/3 + 1/3 = 1 Compute atom percents using the atom fractions: | number of atoms | atom percent Si (silicon) | 2 | 2/3 × 100% = 66.7% Ti (titanium) | 1 | 1/3 × 100% = 33.3% Look up the atomic mass, m_i, in unified atomic mass units, u, for each element in the periodic table: | number of atoms | atom percent | atomic mass/u Si (silicon) | 2 | 66.7% | 28.085 Ti (titanium) | 1 | 33.3% | 47.867 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molecular mass, m: | number of atoms | atom percent | atomic mass/u | mass/u Si (silicon) | 2 | 66.7% | 28.085 | 2 × 28.085 = 56.170 Ti (titanium) | 1 | 33.3% | 47.867 | 1 × 47.867 = 47.867 m = 56.170 u + 47.867 u = 104.037 u Divide the mass for each element by m to calculate mass fractions. Then use the property that mass fractions must sum to one to check the work: | number of atoms | atom percent | mass fraction Si (silicon) | 2 | 66.7% | 56.170/104.037 Ti (titanium) | 1 | 33.3% | 47.867/104.037 Check: 56.170/104.037 + 47.867/104.037 = 1 Compute mass percents using the mass fractions: Answer: | | | number of atoms | atom percent | mass percent Si (silicon) | 2 | 66.7% | 56.170/104.037 × 100% = 53.99% Ti (titanium) | 1 | 33.3% | 47.867/104.037 × 100% = 46.01%](../image_source/a70f93ae13c772b4b081d01baa23f89f.png)
Find the elemental composition for titanium silicide in terms of the atom and mass percents: atom percent = N_i/N_atoms × 100% mass percent = (N_im_i)/m × 100% Plan: • Write the chemical formula and gather atomic masses from the periodic table. • Determine values for N_i, m_i, N_atoms and m using these items. • Finally, compute the percents and check the results. Write the chemical formula: TiSi_2 Use the chemical formula to count the number of atoms, N_i, for each element and find the total number of atoms, N_atoms, per molecule: | number of atoms Si (silicon) | 2 Ti (titanium) | 1 N_atoms = 2 + 1 = 3 Divide each N_i by N_atoms to calculate atom fractions. Then use the property that atom fractions must sum to one to check the work: | number of atoms | atom fraction Si (silicon) | 2 | 2/3 Ti (titanium) | 1 | 1/3 Check: 2/3 + 1/3 = 1 Compute atom percents using the atom fractions: | number of atoms | atom percent Si (silicon) | 2 | 2/3 × 100% = 66.7% Ti (titanium) | 1 | 1/3 × 100% = 33.3% Look up the atomic mass, m_i, in unified atomic mass units, u, for each element in the periodic table: | number of atoms | atom percent | atomic mass/u Si (silicon) | 2 | 66.7% | 28.085 Ti (titanium) | 1 | 33.3% | 47.867 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molecular mass, m: | number of atoms | atom percent | atomic mass/u | mass/u Si (silicon) | 2 | 66.7% | 28.085 | 2 × 28.085 = 56.170 Ti (titanium) | 1 | 33.3% | 47.867 | 1 × 47.867 = 47.867 m = 56.170 u + 47.867 u = 104.037 u Divide the mass for each element by m to calculate mass fractions. Then use the property that mass fractions must sum to one to check the work: | number of atoms | atom percent | mass fraction Si (silicon) | 2 | 66.7% | 56.170/104.037 Ti (titanium) | 1 | 33.3% | 47.867/104.037 Check: 56.170/104.037 + 47.867/104.037 = 1 Compute mass percents using the mass fractions: Answer: | | | number of atoms | atom percent | mass percent Si (silicon) | 2 | 66.7% | 56.170/104.037 × 100% = 53.99% Ti (titanium) | 1 | 33.3% | 47.867/104.037 × 100% = 46.01%
Mass fraction pie chart
![Mass fraction pie chart](../image_source/f4806d93b2892e389541b388230e6be8.png)
Mass fraction pie chart