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Question

The average atomic mass of magnesium is 24.31amu this magnesium is composed of 79mole%ofMg24 and remaining 21mole%ofMg25andMg26. Calculate mole %ofMg26?


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Solution

Step 1: Given data

  • The average atomic mass of magnesium =24.31amu

Mole%ofMg24=79Mole%ofMg25andMg26=21

Step 2: Molecular mass calculation formula:

  • Now, let x be the mole %ofMg25 and (21x)mole%ofMg26

Molecularmass=xiMixi=FractionoftheisotopeMi=Massoftheisotope.

Step 3: Finding the mole %ofMg26:

  • By solving the equation

24.3=(79/100)24+(x/100)25+(21x)/100x25Thus,x=11Therefore,mole%ofMg26is(21x)=(2111)=10.

Therefore, the mole %ofMg26is10%


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