Chapter 9: Problem 16
Calculate the molar mass for each of the following: (a) bromine iodide, BrI (b) tribromine octaoxide, \(\mathrm{Br}_{3} \mathrm{O}_{8}\) (c) glycerin, \(\mathrm{C}_{3} \mathrm{H}_{5}(\mathrm{OH})_{3}\) (d) nitroglycerin, \(\mathrm{C}_{3} \mathrm{H}_{5} \mathrm{O}_{3}\left(\mathrm{NO}_{2}\right)_{3}\)
Short Answer
Step by step solution
Identify Elemental Atomic Masses
Step 2a: Calculate Molar Mass of BrI
Step 2b: Calculate Molar Mass of \( \text{Br}_3\text{O}_8 \)
Step 2c: Calculate Molar Mass of Glycerin, \( \text{C}_3\text{H}_5(\text{OH})_3 \)
Step 2d: Calculate Molar Mass of Nitroglycerin, \( \text{C}_3\text{H}_5\text{O}_3(\text{NO}_2)_3 \)
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Elemental Atomic Mass
For instance, bromine (Br) has an atomic mass of 79.904 g/mol, while iodine (I) has an atomic mass of 126.904 g/mol. To find these values, you refer to the periodic table, which lists the atomic masses for all known elements. Knowing these numbers helps in combining them to find the molar mass of compounds.
When solving molar mass calculations, the atomic masses need to be accurately multiplied by the number of atoms present in the compound. This is a fundamental step in determining the complete mass of the compound.
Chemical Formula Interpretation
Each chemical formula provides crucial information about the composition of a compound:
- Element Symbols: These represent the elements in the compound, such as C for carbon, H for hydrogen, and O for oxygen.
- Subscript Numbers: The small numbers following the symbols indicate the number of atoms of each element in the molecule.
By interpreting these formulas, you can determine how many of each type of atom is present, which is crucial for calculating molar mass.
Step-by-Step Problem Solving
- Step 1: Identify Each Element and Its Atomic Mass: Start by identifying all elements in the chemical formula and lookup their atomic masses from the periodic table.
- Step 2: Multiply Atomic Masses by the Number of Each Atom: For each element, multiply its atomic mass by the number of atoms present in the compound as indicated by the chemical formula.
- Step 3: Sum All the Calculated Masses: Add up all the contributions from each element to determine the total molar mass of the compound.
- 3 carbon atoms: \(3 \times 12.011\) = 36.033 g/mol
- 5 hydrogen atoms: \(5 \times 1.008\) = 5.040 g/mol
- 3 additional hydrogen atoms from hydroxyl groups: \(3 \times 1.008\) = 3.024 g/mol
- 3 oxygen atoms: \(3 \times 15.999\) = 47.997 g/mol