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Two substances have the same molecular and empirical formulas. Does this mean that they must be the same compound?

Short Answer

Expert verified
No, they can be structural isomers and thus be different compounds.

Step by step solution

01

Understanding Empirical and Molecular Formulas

An empirical formula shows the simplest whole-number ratio of elements in a compound. A molecular formula shows the actual number of each type of atom in a molecule of the compound.
02

Identifying Key Information

If two compounds have the same molecular formula, they have the same numbers of each kind of atom in their molecules. Similarly, having the same empirical formula means they also have the same simplest ratio of elements.
03

Considering Structural Isomers

Compounds with the same molecular and empirical formulas can differ in the arrangement of atoms. Such compounds are called structural isomers.
04

Drawing Conclusions

If two substances have the same molecular and empirical formulas but differ in the arrangement of atoms, then they are not the same compound. Hence, the same molecular and empirical formulas do not guarantee the same compound.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Empirical Formula
The empirical formula of a chemical compound is a succinct way to represent its composition by showing the simplest whole-number ratio of the elements involved in the compound. For example, the empirical formula of hydrogen peroxide is \( \text{HO} \), emphasizing that there is a 1:1 ratio of hydrogen to oxygen atoms. This simplification doesn't tell us the exact number of atoms or molecules in the compound, just the ratio.

This means that potentially different compounds can share the same empirical formula. For instance, both ethylene \( (\text{C}_2\text{H}_4) \) and butene \( (\text{C}_4\text{H}_8) \) might boil down to the empirical formula \( \text{CH}_2 \) because their basic ratio of carbon to hydrogen is 1:2. While the empirical formula is useful for identifying the proportions of elements, it doesn’t provide structural details, which are crucial for the compound’s properties.
Molecular Formula
A molecular formula provides more detailed information than an empirical formula by showing the exact number of each type of atom in a single molecule of the compound. For example, while the empirical formula for glucose is \( \text{CH}_2\text{O} \), its molecular formula is \( \text{C}_6\text{H}_{12}\text{O}_6 \), indicating there are six carbon, twelve hydrogen, and six oxygen atoms per molecule.

This level of detail can be pivotal since compounds with the same molecular formula can exist as different substances due to their varied structures. These are known as structural isomers. Although they share the same types and numbers of atoms, their different arrangements can result in different chemical and physical properties.
  • Due to such structural differences, molecular formulas, while more informative than empirical formulas, still might not provide a complete picture of the compound's nature.
  • Knowing only the molecular formula can't guarantee the identification of the compound, so additional structural analysis is often needed to fully understand the compound's capabilities.
Chemical Compounds
Chemical compounds are substances formed by the chemical bonding of two or more different elements. These compounds are defined by their chemical formulas.

The fascinating aspect of chemical compounds is the diversity in their formation. They might share the same molecular and empirical formulas but possess distinct chemical properties. This is mainly due to their different structural arrangements, known as structural isomerism.
  • For example, acetone and propanal share the molecular formula \( \text{C}_3\text{H}_6\text{O} \) but differ substantially in their chemical behavior due to their structural differences.
  • This diversity highlights the need for comprehensive analysis that goes beyond molecular formulas when identifying compounds.
Understanding the nuances of chemical compounds allows scientists to predict their reactivity and interaction with other substances, which is critical in fields like medicine and materials science.

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Most popular questions from this chapter

Selenium, an element required nutritionally in trace quantities, forms compounds analogous to sulfur. Name the following ions: \((\mathbf{a}) \mathrm{SeO}_{4}^{2-},(\mathbf{b}) \mathrm{Se}^{2-},(\mathbf{c}) \mathrm{HSe}^{-},(\mathbf{d}) \mathrm{HSeO}_{3}^{-}\).

A 1.0 -g sample of carbon dioxide \(\left(\mathrm{CO}_{2}\right)\) is fully decomposed into its elements, yielding \(0.273 \mathrm{~g}\) of carbon and \(0.727 \mathrm{~g}\) of oxygen. (a) What is the ratio of the mass of \(\mathrm{O}\) to \(\mathrm{C} ?(\mathbf{b})\) If a sample of a different compound decomposes into \(0.429 \mathrm{~g}\) of carbon and \(0.571 \mathrm{~g}\) of oxygen, what is its ratio of the mass of \(\mathrm{O}\) to \(\mathrm{C} ?(\mathbf{c})\) According to Dalton's atomic theory, what is the empirical formula of the second compound?

Answer the following questions without referring to Table 2.1: (a) What are the main subatomic particles that make up the atom? (b) What is the relative charge (in multiples of the electronic charge) of each of the particles? (c) Which of the particles is the most massive? (d) Which is the least massive?

How many of the indicated atoms are represented by each chemical formula: (a) carbon atoms in \(\mathrm{C}_{4} \mathrm{H}_{9} \mathrm{COOCH}_{3}\), (b) oxygen atoms in \(\mathrm{Ca}\left(\mathrm{ClO}_{3}\right)_{2},(\mathbf{c})\) hydrogen atoms in \(\left(\mathrm{NH}_{4}\right)_{2} \mathrm{HPO}_{4} ?\)

From the following list of elements \(-\mathrm{Mg}, \mathrm{Li}, \mathrm{Tl}, \mathrm{Pb}, \mathrm{Se}, \mathrm{Cl}, \mathrm{Xe}, \mathrm{Si},\) C-pick the one that best fits each description. Use each element only once: \((\mathbf{a})\) an alkali metal, \((\mathbf{b})\) an alkaline earth metal, \((\mathbf{c})\) a noble gas, \((\mathbf{d})\) a halogen, \((\mathbf{e})\) a metalloidin group \(14,(\mathbf{f})\) a nonmetal listed in group \(14,(\mathbf{g})\) a metal that forms a \(3+\) ion, \((\mathbf{h})\) a nonmetal that forms a \(2-\) ion, \((\mathbf{i})\) an element that is used as radiation shielding.

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