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Standard X

Chemistry

Mole Concept

The elements ...

Question

The elements $A$ and $B$ combine together to give two compounds $A_{2} B_{3}$ and $A B_{2}$ . The weight of 0.2 mole of $A_{2} B_{3}$ is 26gm. The weight of 0.3 mole of $A B_{2}$ is 24 gm. Then the atomic weights of $A$ and $B$ respectively.

15,20

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20,25

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20,30

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25,30

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Solution

The correct option is D 20,30
Weight of $0.2$ mole of $A_{2} B_{3} = 26 g$
Weight of $0.3$ mole of $A B_{2} = 24 g$
Let $x$ and $y$ be the atomic weights of A and B
Then, $2 x + 3 y = \frac{26}{0.2} = 130 ⟶ (1)$
$x + 2 y = \frac{24}{0.3} = 80 ⟶ (2)$
Substituting $x = 80 - 2 y$ in Equation (1)
$\Rightarrow 2 (80 - 2 y) + 3 y = 130 \Rightarrow y = 30$
$∴ x = 80 - 2 (30) = 20$
$∴$ Atomic weights of $A$ and $B$ are $20, 30$ respectively.

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