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THE ATOMIC MASS OF AN ELEMENT 'X' IS 54.2 WHAT ARE THE PERCENTAGE OF OF ISOTOPES OF 'X' HAVING MASS NUMBERS 54 AND 56 IN GIVEN SAMPLE.
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Atomic mass of element ' X' = 54.2 amu
Mass of 1st Isotope of ' X' = 54 amu
Mass of 2nd Isotope of ' X' = 56 amu
By using average atomic mass concept,
Let the percentage abundance of 1st isotope be x, then % Abundance of 2nd Isotope = 100 - x
The Average Atomic mass = 54.2
[ x ( 54 ) + ( 100 - x ) 56] / 100 = 54.2
54x + 5600 - 56x = 5420
-2x = 5420 - 5600
x = 180 / 2
x = 90
% Abundance of 2nd Isotope = ( 100 - 90 ) = 10%
Mass of 1st Isotope of ' X' = 54 amu
Mass of 2nd Isotope of ' X' = 56 amu
By using average atomic mass concept,
Let the percentage abundance of 1st isotope be x, then % Abundance of 2nd Isotope = 100 - x
The Average Atomic mass = 54.2
[ x ( 54 ) + ( 100 - x ) 56] / 100 = 54.2
54x + 5600 - 56x = 5420
-2x = 5420 - 5600
x = 180 / 2
x = 90
% Abundance of 2nd Isotope = ( 100 - 90 ) = 10%
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Answered by
1
Atomic mass of element ' X' = 54.2 amu
Mass of 1st Isotope of ' X' = 54 amu
Mass of 2nd Isotope of ' X' = 56 amu
By using average atomic mass concept,
Let the percentage abundance of 1st isotope be x, then % Abundance of 2nd Isotope = 100 - x
The Average Atomic mass = 54.2
[ x ( 54 ) + ( 100 - x ) 56] / 100 = 54.2
54x + 5600 - 56x = 5420
-2x = 5420 - 5600
x = 180 / 2
x = 90
% Abundance of 1st isotope = x = 90%
% Abundance of 2nd Isotope = ( 100 - 90 ) = 10%
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