Easy INTEGER +4 / -1 PYQ · JEE Mains 2022

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.

Answer (integer) 2

Solution

<p>Let atomic weight of A = x</p> <p>and atomic weight of B = y</p> <p>$\therefore$ Molar mass of A<sub>2</sub>B = 2x + y</p> <p>and molar mass of AB<sub>3</sub> = x + 3y</p> <p>Now, weight of 0.15 moles of A<sub>2</sub>B = (2x + y) 0.15</p> <p>and weight of 0.15 moles of AB<sub>3</sub> = (x + 3y) 0.15</p> <p>Given, weight of 0.15 moles of A<sub>2</sub>B and AB<sub>3</sub> are equal.</p> <p>$\therefore$ (2x + y)0.15 = (x + 3y)0.15</p> <p>$\Rightarrow$ x = 2y</p> <p>$\Rightarrow {x \over y} = 2$</p> <p>$\therefore$ Atomic weight of A is 2 times of atomic weight of B.</p>

About this question

Subject: Chemistry · Chapter: Some Basic Concepts of Chemistry · Topic: Mole Concept

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