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There are 8.0 \(\mathrm{mol}\) of \(\mathrm{H}\) atoms in 2.0 \(\mathrm{mol}\) of \(\mathrm{CH}_{4} \mathrm{O}\) molecules. How many moles of \(\mathrm{H}\) atoms are there in 2.0 \(\mathrm{mol}\) of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) molecules?

Short Answer

Expert verified
There are 12.0 moles of \(\mathrm{H}\) atoms in 2.0 moles of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\).

Step by step solution

01

Identify Hydrogen Count

Determine how many hydrogen (H) atoms each molecule of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) contains. The formula \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) indicates there are 6 hydrogen atoms in each molecule.
02

Calculate Moles of Hydrogen per Molecule

Since each \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) molecule contains 6 hydrogen atoms, 1 mole of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) will contain 6 moles of \(\mathrm{H}\) atoms.
03

Multiply by Given Moles

Multiply the moles of hydrogen atoms per mole of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) by the total moles of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) available: \[2.0 \text{ moles of } \mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O} \times 6 \text{ moles of } \mathrm{H}\text{ per mole of } \mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O} = 12.0 \text{ moles of } \mathrm{H}.\]

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Key Concepts

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

Hydrogen count
To determine the quantity of hydrogen atoms, it's important to first understand the makeup of the chemical formula you are dealing with. Each chemical formula reveals the number of each type of atom contained within a molecule. For instance, in the case of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\), the subscript following \(\mathrm{H}\) reveals that there are 6 hydrogen atoms per molecule.

Knowing this helps in calculating how many moles of hydrogen atoms are present in a given sample. For every mole of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\), there are 6 moles of hydrogen atoms, which is a vital part of deciphering how molecules combine and react.
Chemical formula interpretation
Chemical formulas give us insight into the structure of molecules, outlining how many and which type of atoms are present. In interpreting any chemical formula, pay attention to the subscripts, as they inform you of each element's quantity in a single molecule.

For example, the chemical formula \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) indicates that there are:
  • 2 carbon (\(\mathrm{C}\)) atoms,
  • 6 hydrogen (\(\mathrm{H}\)) atoms,
  • 1 oxygen (\(\mathrm{O}\)) atom.

In breaking down these symbols and numbers, we gain a clearer understanding of molecular composition, which is foundational to predicting the behavior of substances in reactions.
Mole concept
The mole is a central concept in chemistry that bridges the gap between the atomic scale and the macroscopic scale we can observe. One mole represents \(6.022 \times 10^{23}\) of anything—whether that be atoms, molecules, or other elementary entities. This number is known as Avogadro's number.

The mole concept allows us to use and see how molecules and atoms work practically. For example, when considering \(2.0\) moles of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\), it means we have \(2.0\) moles of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) molecules, translating into \(12.0\) moles of hydrogen atoms (since each molecule contains 6 hydrogen atoms).

Understanding the mole concept helps in calculating precise amounts of substances required or produced in a chemical reaction, thereby aiding in stoichiometry.

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