The principal naturally occurring isotope of magnesium has an atomic mass of 23.98504 u and a 79.0% abundance.
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The principal naturally occurring isotope of magnesium has an atomic mass of 23.98504 u and a 79.0% abundance.

[From: ] [author: ] [Date: 12-03-02] [Hit: ]
1894.8181%6 + %Mg-25 * 24.98584 + %Mg-26 * 25.98259 = 2430.%Mg-25 * 24.98584 + %Mg-26 * 25.......
The principal naturally occurring isotope of magnesium has an atomic mass of 23.98504 u and a 79.0% abundance. Two other naturally occurring isotopes have atomic masses of 24.98584 u and 25.98259 u, respectively. Determine the percent abundances each of the three naturally occurring isotopes of magnesium.

Can someone explain how to get the two percent abundance of the isotopes

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79.0% + %Mg-25 + %Mg-26 = 100% Equation (1)
(79.0% * 23.98504 + %Mg-25 * 24.98584 + %Mg-26 * 25.98259) / 100% = 24.3051 Equation (2)

Rearranging equations 1 and 2 give

%Mg-25 + %Mg-26 = 21% Equation (1a)
1894.8181%6 + %Mg-25 * 24.98584 + %Mg-26 * 25.98259 = 2430.51% (Equation 2a)

%Mg-25 + %Mg-26 = 21% Equation (1b)
%Mg-25 * 24.98584 + %Mg-26 * 25.98259 = 535.6919% (Equation 2b)

%Mg-25 * 24.98584 + %Mg-26 * 24.98584 = 524.70264% Equation (1c)
%Mg-25 * 24.98584 + %Mg-26 * 25.98259 = 535.6919% (Equation 2c)
--------------------------------------…
%Mg-26 * 0.99675 = -10.98926%

%Mg-26 = 11.0%

Substituting the above results into equation 1c gives

%Mg-25 * 24.98584 + 11.0% * 24.98584 = 524.70264%

%Mg-25 * 24.98584 + 274.8% = 524.70264%

%Mg-25 * 24.98584 = 249.90264

%Mg-25 = 10.0%
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