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Two elements P and Q form the compounds ...

Two elements P and Q form the compounds `P_(2),Q_(3)` , and `PQ_(2)`. If 0.15 mole of `P_(2),Q_(3)`, weighs 15.9 g and 0.15 mole of `PQ_(2)` weighs 9.3 g, find the atomic weights of P and Q.

Text Solution

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Molecular weight of `P_(2),Q_(3)` = wt. of 1 mole `(15.9xx1)/(0.15) = 106.`
Molecular weight of `PQ_(2)` = wt. of 1 mole =`(9.3xx1)/(0.15) = 62.`
Suppose that the atomic weights of P and Q are respectively x and y. Thus,
2x + 3y = 106 `(P_(2)Q_(3) =106)`
x + 2y = 62. `(PQ_(2) = 62)`
On solving: x = 26
y = 18.
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