Chapter 3: Problem 21
Find the formula weights 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
Understanding the Concept of Formula Weight
Determine the Atomic Weights
Calculate the Formula Weight of Methanol ( \textit{\( \mathrm{CH}_{3} \mathrm{OH} \)} )
Calculate the Formula Weight of Nitrogen Trioxide ( \textit{\( \mathrm{NO}_{3} \)} )
Calculate the Formula Weight of Potassium Carbonate ( extit{\( \mathrm{K}_{2} \mathrm{CO}_{3} \)} )
Calculate the Formula Weight of Nickel Phosphate ( \textit{\( \mathrm{Ni}_{3}(\mathrm{PO}_{4})_{2} \)} )
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Understanding Atomic Weight
The atomic weight accounts for the natural isotopic distribution of the element. For instance, Carbon on the periodic table is listed with an atomic weight of 12.01 amu. This number averages the mass of all carbon isotopes based on their abundance in nature.
Knowing atomic weights is essential to finding the formula weight of compounds. By using the periodic table, you can identify and sum the atomic weights of each atom present in a compound.
For example, in potassium carbonate, Potassium has an atomic weight of 39.10 amu. This is multiplied by two (since there are two potassium atoms in the formula ( K_2CO_3 ) to contribute to the total formula weight.
Decoding Molecular Formulas
This differs from an empirical formula, which only provides the simplest whole-number ratio of atoms.
To accurately calculate formula weights, understanding a compound's molecular formula is key. For instance, methanol ( CH_3OH ) includes one Carbon, four Hydrogens, and one Oxygen:
- Carbon (C) = 1 atom
- Hydrogen (H) = 4 atoms
- Oxygen (O) = 1 atom
Recognizing this information aids in structuring chemical equations and in performing various calculations essential for chemical analysis.
Chemical Calculations in Formula Weight
To perform these calculations, start by breaking down a compound into its elements and their respective quantities. Formula weight calculations can be broken down into simple arithmetic, using known atomic weights from the periodic table.
For example, in calculating the formula weight of nitrogen trioxide ( NO_3 ):
- 1 atom of Nitrogen (N) = 14.01 amu
- 3 atoms of Oxygen (O) = 3 × 16.00 amu
This systematic approach ensures accuracy and is vital for deriving meaningful insights into chemical structure and reactivity.