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Laws of Definite Proportions, Multiple Proportions

Suppose the e...

Question

Suppose the elements $X$ and $Y$ combine to form two compunds $X Y_{2}$ and $X_{3} Y_{2}$ . when $0.1$ mole of $X Y_{2}$ weighs $10 g$ and $0.05 m o l e$ of $X_{3} Y_{2}$ weighs $9 g$ , the atomic weights of $X$ and $Y$ are

 NEET 2016

A

30, 20

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B

60 , 40

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C

20, 30

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D

40 , 30

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Solution

The correct option is D 40 , 30
For $X Y_{2}$ :
$0.1 mole$ of $X Y_{2} = 10 g$
$∴ 1 mole$ of $X Y_{2} = 100 g$
$⟹ X + 2 Y = 100 \dots (i)$
For $X_{3} Y_{2}$ :
$0.05 mole$ of $X_{3} Y_{2} = 9 g$
$∴ 1 mole$ of $X_{3} Y_{2} = 180 g$
$⟹ 3 X + 2 Y = 180 \dots (i i)$
On solving for $X$ and $Y$ , we get;
$X = 40$
and $Y = 30$

Hence, the correct answer is option (a).

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