Answer :
To find the mass of [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium, we need to understand the concept of atomic mass and Avogadro's number.
1. Atomic Mass and Moles: The atomic mass of potassium is given as 39.1. This value means that one mole of potassium atoms, which is [tex]\(6.02 \times 10^{23}\)[/tex] atoms (Avogadro's number), has a mass of 39.1 grams.
2. Understanding Avogadro's Number: Avogadro's number, [tex]\(6.02 \times 10^{23}\)[/tex], is the number of atoms in one mole of any substance. Therefore, when you have [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium, you effectively have one mole of potassium.
3. Calculating the Mass: Since one mole of potassium (which is [tex]\(6.02 \times 10^{23}\)[/tex] atoms) has a mass equal to its atomic mass in grams, the mass of [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium is directly equal to 39.1 grams.
Therefore, the mass of [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium is 39.1 grams, which corresponds to option B.
1. Atomic Mass and Moles: The atomic mass of potassium is given as 39.1. This value means that one mole of potassium atoms, which is [tex]\(6.02 \times 10^{23}\)[/tex] atoms (Avogadro's number), has a mass of 39.1 grams.
2. Understanding Avogadro's Number: Avogadro's number, [tex]\(6.02 \times 10^{23}\)[/tex], is the number of atoms in one mole of any substance. Therefore, when you have [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium, you effectively have one mole of potassium.
3. Calculating the Mass: Since one mole of potassium (which is [tex]\(6.02 \times 10^{23}\)[/tex] atoms) has a mass equal to its atomic mass in grams, the mass of [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium is directly equal to 39.1 grams.
Therefore, the mass of [tex]\(6.02 \times 10^{23}\)[/tex] atoms of potassium is 39.1 grams, which corresponds to option B.
