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QJEEM22Ch07f2: JEE Main 2022 Chemistry - Class 11 JEEM22Ch07f2 Solution: Two elements A and B which form 0.15 moles of A 2 B and AB 3…

Two elements A and B which form 0.15 moles of A2B and AB3 type compounds. If both A2B and AB3 weigh equally, then the atomic weight of A is _____________ times of atomic weight of B.

Step-by-Step Verified Solution

Let atomic weight of A = x

and atomic weight of B = y

∴\therefore Molar mass of A2B = 2x + y

and molar mass of AB3 = x + 3y

Now, weight of 0.15 moles of A2B = (2x + y) 0.15

and weight of 0.15 moles of AB3 = (x + 3y) 0.15

Given, weight of 0.15 moles of A2B and AB3 are equal.

∴\therefore (2x + y)0.15 = (x + 3y)0.15

⇒\Rightarrow x = 2y

⇒xy=2\Rightarrow {x \over y} = 2

∴\therefore Atomic weight of A is 2 times of atomic weight of B.

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