How many moles of silver (Ag) are present in a sample of 3.8 × 10²⁴ atoms Ag?

Question:

How many moles of silver (Ag) are present in a sample of 3.8 × 10²⁴ atoms Ag?

Select one:

a. 1.6 mol Ag

b. 2.3 mol Ag

c. 6.3 mol Ag

d. 22.8 mol Ag

Answer:

The correct option is (C) 6.3 mol Ag.

Explanation: Given that the number of atoms of Ag is 3.8 x 10²⁴. It is also mentioned that 1 mol of Ag contains 6.022 x 10²³ atoms.
Therefore, to find the number of moles of Ag present in the sample of 3.8 x 10²⁴ atoms, we can use the conversion formula:
1 mol ----------------------------- 6.022 x 10²³ atoms x -------------------------------- 3.8 x 10²⁴ atoms
By using the above formula: x = (1 mol * 3.8 x 10²⁴ atoms) / 6.022 x 10²³ atoms
x = 6.3 moles of Ag
Therefore, the number of moles of Ag present in the sample is 6.3 moles.