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How many atoms are there in 23 gm of Na?

A. [tex]\(6.023 \times 10^{22}\)[/tex]
B. [tex]\(6 \times 10^{22}\)[/tex]
C. [tex]\(6.023 \times 10^{23}\)[/tex]
D. All


Sagot :

To find out how many atoms are present in 23 grams of sodium (Na), you can follow these steps:

1. Identify the molar mass of sodium (Na):
The molar mass of sodium is 23 grams per mole.

2. Determine the amount of substance in moles:
The amount of substance in moles is calculated by dividing the sample mass by the molar mass.
[tex]\[ \text{Moles of Na} = \frac{\text{Sample mass}}{\text{Molar mass of Na}} = \frac{23 \text{ grams}}{23 \text{ grams/mole}} = 1 \text{ mole} \][/tex]

3. Use Avogadro's number to convert moles to atoms:
Avogadro's number is approximately [tex]\(6.022 \times 10^{23}\)[/tex] atoms per mole. Since we have 1 mole of sodium:
[tex]\[ \text{Number of atoms} = 1 \text{ mole} \times 6.022 \times 10^{23} \text{ atoms/mole} = 6.022 \times 10^{23} \text{ atoms} \][/tex]

Therefore, the number of atoms in 23 grams of sodium (Na) is [tex]\(6.022 \times 10^{23}\)[/tex].

So, the correct answer is:
c. [tex]\(\quad 6.023 \times 10^{23}\)[/tex]