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Mole Concept

If the atomic...

Question

If the atomic masses of X and Y are $10$ and $30$ respectively, then the mass of $X Y_{3}$ formed, when $120$ g of $Y_{2}$ reacts completely with X, is :

133.3

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200

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266.6

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400

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Solution

The correct option is C $133.3$ g
The balanced chemical equation is $X + Y \to X Y_{3}$ .

The atomic mass of $Y$ is $30$ g/mole. The molecular mass of $X Y_{3}$ is $10 + 3 (30) = 100 g / m o l e$ .

$90$ g ( $3$ moles) of Y will give $100$ g ( $1$ mole) of Y.

Hence, $120$ g of $Y$ will give $100 g \times \frac{120}{90} = 133.3 g$ of $Y$ .

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