Question

How many moles are in a sample of 9.47 x 1024 atoms of argon (Ar)? (Show your calculations for full credit. Correct answers will only receive partial credit.)

Your answer:

Answer 1

15.7 moles of Ar

Step-by-step explanation:

Given data:

Number of atoms = 9.47 ×10²⁴ atoms

Number of moles of Ar = ?

Solution:

The given problem will solve by using Avogadro number.

It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance. The number 6.022 × 10²³ is called Avogadro number.

1 mole = 6.022 × 10²³ atoms

9.47 ×10²⁴ atoms × 1 mole / 6.022 × 10²³ atoms

1.57×10¹ mol

15.7 mol

Answer 2

15.73 moles

Step-by-step explanation:

To find the number of moles in a substance given it's number of entities we use the formula

`n = (N)/(L) \\`

where n is the number of moles

N is the number of entities

L is the Avogadro's constant which is

6.02 × 10²³ entities

From the question we have

`n = \frac{9.47 * {10}^(24) }{6.02 * {10}^(23) } \\ = 15.730897...`

We have the final answer as

15.73 moles

Hope this helps you