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Stoichiometric Calculations

Suppose the e...

Question

Suppose the elements X and Y combine to form two compounds $X Y_{2}$ and $X_{3} Y_{2}$ . When 0.1 mole of $X Y_{2}$ weighs 10 g and 0.05 mole of $X_{3} Y_{2}$ weighs 9 g, the atomic weights of X and Y are :

A

20, 30

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B

30, 20

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C

40, 30

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D

60, 40

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Solution

The correct option is C 40, 30
$n_{X Y_{2}} = 0.1 = \frac{10}{A_{X} + 2 A_{Y}}$

$A_{X} + 2 A_{Y} = 100$ ... (equation 1)

$n_{X_{3} Y_{2}} = 0.05 = \frac{9}{3 A_{X} + 2 A_{Y}}$

$3 A_{X} + 2 A_{Y} = 180$ ... (equation 2)

On solving equation 1 and 2 we get,
$A_{X} = 40, A_{Y} = 30$
Hence, option C is correct.

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