Let's explore the connection between the number of hydrogen atoms in a mole and its corresponding mass.
### Understanding the Concept of a Mole
A mole is a fundamental unit in chemistry that measures the amount of substance. It is defined through Avogadro's number, which is [tex]\(6.022 \times 10^{23}\)[/tex], representing the number of atoms, ions, or molecules in one mole of a substance.
### Determining the Number of Hydrogen Atoms in One Mole
According to Avogadro's number:
- 1 mole of hydrogen atoms ([tex]\(H\)[/tex]) contains [tex]\(6.022 \times 10^{23}\)[/tex] hydrogen atoms.
### Mass of One Mole of Hydrogen Atoms
The atomic mass of hydrogen is approximately 1.008 grams per mole. This value represents the mass of one mole (or [tex]\(6.022 \times 10^{23}\)[/tex] atoms) of hydrogen.
### Verification through Computation
By definition:
- 1 mole of hydrogen atoms contains [tex]\(6.022 \times 10^{23}\)[/tex] hydrogen atoms.
- 1 mole of hydrogen atoms has a mass of 1.008 grams.
When these values are represented in numerical form:
- The number of hydrogen atoms in 1 mole: [tex]\(6.0219999999999996 \times 10^{23}\)[/tex] atoms.
- The mass of 1 mole of hydrogen atoms: 1.008 grams.
Therefore, the accurate and precise numbers we should consider are:
- One mole of hydrogen atoms is equivalent to [tex]\(6.0219999999999996 \times 10^{23}\)[/tex] hydrogen atoms.
- One mole of hydrogen atoms has a mass of 1.008 grams.
### Summary
To summarize, the relationship between the number of hydrogen atoms in one mole and their mass is given by:
- 1 mole of hydrogen atoms ([tex]\(H\)[/tex]) contains [tex]\(6.0219999999999996 \times 10^{23}\)[/tex] atoms.
- The mass of 1 mole of hydrogen atoms is 1.008 grams.
This understanding helps us bridge the gap between the microscopic world of atoms and the macroscopic quantities we use in laboratory settings.
