Answer :
To find the mass of [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium, we need to understand the relationship between atoms, atomic mass, and Avogadro's number.
1. Understand the Concept:
- Avogadro's number, [tex]\(6.02 \times 10^{23}\)[/tex], is the number of atoms or molecules in one mole of a substance.
- The atomic mass of an element (like potassium) given in grams per mole represents the mass of one mole of atoms of that element.
2. Given Information:
- Atomic mass of potassium = 39.1 grams/mole (this means 1 mole of potassium atoms weighs 39.1 grams).
- Avogadro's number = [tex]\(6.02 \times 10^{23}\)[/tex].
3. Calculate the Mass:
- Since [tex]\(6.02 \times 10^{23}\)[/tex] atoms make up exactly one mole by definition, the mass of one mole (or [tex]\(6.02 \times 10^{23}\)[/tex] atoms) of potassium is simply its atomic mass.
4. Result:
- Therefore, the mass of [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium is 39.1 grams.
So, the correct answer is:
B. [tex]\(39.1 \, g\)[/tex]
1. Understand the Concept:
- Avogadro's number, [tex]\(6.02 \times 10^{23}\)[/tex], is the number of atoms or molecules in one mole of a substance.
- The atomic mass of an element (like potassium) given in grams per mole represents the mass of one mole of atoms of that element.
2. Given Information:
- Atomic mass of potassium = 39.1 grams/mole (this means 1 mole of potassium atoms weighs 39.1 grams).
- Avogadro's number = [tex]\(6.02 \times 10^{23}\)[/tex].
3. Calculate the Mass:
- Since [tex]\(6.02 \times 10^{23}\)[/tex] atoms make up exactly one mole by definition, the mass of one mole (or [tex]\(6.02 \times 10^{23}\)[/tex] atoms) of potassium is simply its atomic mass.
4. Result:
- Therefore, the mass of [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium is 39.1 grams.
So, the correct answer is:
B. [tex]\(39.1 \, g\)[/tex]
