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Stoichiometric Calculations

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:

$X + Y_{2} \to X Y_{3}$

133.3 g

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200 g

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266.6 g

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400 g

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Solution

The correct option is B 133.3 g
The molar mass of $Y_{2}$ is $2 \times 30 = 60$ .

The molar mass of $X Y_{3}$ is $10 + 3 (30) = 100$

The balanced reaction is:
$2 X + 3 Y_{2} ⟶ 2 X Y_{3}$

Thus, 180 g of $Y_{2}$ completely react with X to form 200 g of $X Y_{3}$

Hence, 120 g of $Y_{2}$ completely react with X to form $\frac{120}{180} \times 200 = 133.3 g o f X Y_{3}$ .

Hence, option A is correct.

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