Determine the number of atoms in 23.0 grams of calcium, Ca. (The mass of one mole of calcium is 40.08 g.)

Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Chapter10: The Mole
Section: Chapter Questions
Problem 140A
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Determine the number of atoms in 23.0 grams of calcium, Ca. (The mass of one mole of calcium is 40.08 g.)

Expert Solution
Step 1: Given

Mass of Ca = 23 g 

Molar mass of Ca = 40.08 g/mol

Step 2 : Calculations

As, Molar mass of Ca is 40.08 g/mol

Means, 1 mol of Ca contains 40.08 g of Ca

Also, 1 mol of Ca contains Avogadro number of atoms (6.022 × 1023

Thus, 40.08 g of Ca contains 6.022 × 1023 atoms

So, 23 g of Ca will contain

(6.022 × 1023 × 23) / 40.08  atoms of Ca 

= 3.456 × 1023 atoms of Ca.

 

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