What is the percent abundance of 140Ce in Cerium?

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SUMMARY

The percent abundance of the isotopes of Cerium (58Ce), specifically 140Ce and 142Ce, can be calculated using their atomic masses and the weighted average of natural cerium's mass. The atomic mass of 140Ce is approximately 139.905439 amu, which can be found in isotope tables provided by the Lawrence Berkeley Laboratory (LBL). To determine the percent abundance, one must set up the equation based on the known mass of natural cerium and the masses of the isotopes. Accurate calculations require knowledge of both isotopes' weights.

PREREQUISITES
  • Understanding of isotopes and atomic mass
  • Familiarity with weighted averages in chemistry
  • Access to isotope data tables, specifically from LBL
  • Basic proficiency in algebra for setting up equations
NEXT STEPS
  • Research how to calculate weighted averages in isotopic abundance
  • Explore the isotope tables available at Lawrence Berkeley Laboratory
  • Learn about the significance of atomic mass units (amu) in isotopic calculations
  • Investigate the properties and applications of Cerium isotopes in various fields
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Chemistry students, researchers in nuclear science, and professionals working with isotopic analysis will benefit from this discussion.

kceddis
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i am trying to figure out the percent abundance of two isotopes. i know how to set up the problem but i don't know how to find the weight of each isotopes. here is the problem:

Cerium (58Ce) has two commonly occurring isotopes, 140Ce and 142Ce. what is the approximate percent abundance of 140Ce?
 
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140Ce means that the isotope has an atomic mass of (approximately) 140 amu.
 
kceddis said:
i am trying to figure out the percent abundance of two isotopes. i know how to set up the problem but i don't know how to find the weight of each isotopes. here is the problem:

Cerium (58Ce) has two commonly occurring isotopes, 140Ce and 142Ce. what is the approximate percent abundance of 140Ce?
What is the given mass of natural cerium? The mass should be a weighted average based on the isotopic abundances and the mass of each isotope. For two isotopes, it's pretty simple.
 
Hi kceddis-
There are an abundance of tables on isotopes and nuclear data at LBL (Lawrence Berkeley Laboratory) follow your google search by site:lbl.gov

Here is a table for finding atomic masses of all the isotopes.
http://ie.lbl.gov/toi2003/MassSearch.asp
In this case, type in the elemend Z# or symbol, and it gives the atomic masses of all the isotopes of that element. The masses are given in micro atomic units, so you have to divide by 1 million. For example Ce-140 is shown as 139905439 which is actually 139.905439 amu's (atomic mass units).
I hope this helps
Bob S
 
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