Chapter 3: Problem 27
Find the formula masses of the following substances to three significant figures. a. methanol, \(\mathrm{CH}_{3} \mathrm{OH}\) b. nitrogen trioxide, \(\mathrm{NO}_{3}\) c. potassium carbonate, \(\mathrm{K}_{2} \mathrm{CO}_{3}\) d. nickel phosphate, \(\mathrm{Ni}_{3}\left(\mathrm{PO}_{4}\right)_{2}\)
Short Answer
Step by step solution
Identify elements in methanol
Find molar masses for elements in methanol
Calculate formula mass for methanol
Identify elements in nitrogen trioxide
Find molar masses for elements in nitrogen trioxide
Calculate formula mass for nitrogen trioxide
Identify elements in potassium carbonate
Find molar masses for elements in potassium carbonate
Calculate formula mass for potassium carbonate
Identify elements in nickel phosphate
Find molar masses for elements in nickel phosphate
Calculate formula mass for nickel phosphate
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Molar Mass
To calculate molar mass, you sum the atomic masses of all the atoms in a molecule. For instance, if you have methanol with the formula \(\mathrm{CH}_3\mathrm{OH}\), you multiply the atomic mass of each element by the number of times it appears in the compound and then add them together.
- Carbon (C) contributes \(12.01\) g/mol.
- Hydrogen (H) contributes \(4 \times 1.01\) g/mol due to the 4 hydrogen atoms.
- Oxygen (O) contributes \(16.00\) g/mol.
Chemical Formulas
For instance, consider methanol's formula, \(\mathrm{CH}_3\mathrm{OH}\). The subscripts in a chemical formula show how many atoms of each element make up the compound.
Elemental Composition
For potassium carbonate \(\mathrm{K}_2\mathrm{CO}_3\), understanding the elemental composition involves evaluating the elements' individual contributions to the formula mass.
- Potassium (\(\mathrm{K}\)) appears twice, making a significant contribution to the total mass of the compound.
- Carbon (\(\mathrm{C}\)) and oxygen (\(\mathrm{O}\)) also contribute, with oxygen appearing three times and thus having a larger contribution than carbon.
Significant Figures
When calculating the formula mass, such as for nickel phosphate \(\mathrm{Ni}_3(\mathrm{PO}_4)_2\), it's important to express the result using the correct number of significant figures.
- The molar mass of nickel is \(58.69\) g/mol, phosphorus is \(30.97\) g/mol, and oxygen is \(16.00\) g/mol.
- After each multiplication and addition, all results should be rounded to the same decimal place for consistency.