Question

# A compound has the molecular formula X4O6, if 10 G of X4O6 has 5.72 G Of X, then find the atomic mass of X?

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Solution

## Step 1: Given The molecular weight of the compound${\mathrm{X}}_{4}{\mathrm{O}}_{6}$Step 2: Deriving expressionExpressing the above formula = $4×X+6×16$= $4\mathrm{X}+96$Since ($4X+96$)gm of ${\mathrm{X}}_{4}{\mathrm{O}}_{6}$ contains $\mathrm{X}=4\mathrm{a}$gmTherefore, $10\mathrm{gm}$of ${\mathrm{X}}_{4}{\mathrm{O}}_{6}$ will contain,$X=\frac{4\mathrm{a}×10}{4\mathrm{a}+96}$Step 3: Calculation of atomic massPutting suitable values in the above formula and calculating, we get $5.72=\frac{4\mathrm{a}×10}{4\mathrm{a}+96}\phantom{\rule{0ex}{0ex}}22.88\mathrm{a}+549.12=4\mathrm{a}\phantom{\rule{0ex}{0ex}}17.12\mathrm{a}=549.12\phantom{\rule{0ex}{0ex}}\mathrm{a}=32.07\mathrm{amu}$Therefore, the atomic mass of X is $32.07$amu.

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