Chapter 2, Problem 22PS

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Verify that the atomic weight of magnesium is 24.31, given the following information:24Mg, mass = 23.985042 u; percent abundance = 78.99%25Mg, mass = 24.985837 u; percent abundance = 10.00%26Mg, mass = 25.982593 u; percent abundance = 11.01%

Interpretation Introduction

Interpretation:

The atomic weight 24.31 of magnesium has to be verified if the isotope -24Mg has a mass of 23.985042u in abundance 78.99%, isotope-25Mg has a mass of 24.985837u in an abundance of 10% and isotope-26Mg has a mass of 25.982593u an abundance of 11.01%.

Concept Introduction:

Equation for atomic weight is,

atomic weight=(%abundanceisotop-1100)×(massofisotop-1) +(%abundanceisotop-2100)×(massofisotop-2)+etc

Explanation

There are two isotopes for magnesium atom.

The mass of isotope-1 (24Mg) is 23.985042u and its abundance is 78.99%.

The mass of isotope-2 (25Mg) is 24.985837u and its abundance is 10%.

The mass of isotope-3 (26Mg) is 25.982593u and its abundance is 11.01%.

Equation for atomic weight is,

Â Â Â Â atomicÂ weightâ€‰â€‰=â€‰â€‰(%abundanceâ€‰isotop-1100)â€‰â€‰Ã—â€‰(massâ€‰ofâ€‰isotop-1)â€‰ +â€‰(%abundanceâ€‰isotop-2100)â€‰

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