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Calculate % abudance of Ag_109 if it is known that silver only exist in two istopes Ag_107 and Ag_109. Given average atomic weight of Ag=108.5Please give answer in detail |
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Answer» Answer: This MUST be a combination of these TWO isotopes. So the % of the other isotope must be 48.16%. To work with these percentages in an EQUATION I'll use them as decimals. So now I can start putting them into an equation: 107.87 = ( 106.905 ⋅ 0.5184 ) + ( x ⋅ 0.4816 ) Because both of the isotope masses, MULTIPLIED by their percentage, would give us the overall average mass. 107.87 = 55.419552 ⋅ ( x ⋅ 0.4816 ) Worked out the brackets that we can work out, and then rearrange to give: 107.87 − 55.419552 = ( x ⋅ 0.4816 ) Again rearrange: 52.450448 = ( x ⋅ 0.4816 ) And final rearranging: x=52.450448 ----------------- 0.4816 x=108.909 |
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