Subjective Type

The elements $$X$$ and $$Y$$ form two compounds, $$XY_2$$ and $$X_3Y_2$$. $$0.1$$ mol of former weighs $$10$$ g while $$0.05$$ mole of the latter weighs $$9$$ g. Find the atomic weight of $$X$$.

Solution

$$X+2Y\rightarrow XY_2$$
$$0.1$$ mol of $$XY_2=10 g$$
$$1$$ mol of $$XY_2=100 g$$
$$3X+2Y\rightarrow X_3Y_2$$
$$0.05$$ mol of $$X_3Y_2=9 g$$

$$1$$ mol of $$X_3Y_2=\dfrac {9}{0.05}=180 g$$

$$\therefore X+2Y=100; MW_{XY_2}=100$$
$$3X+2Y=180; MW_{X_2Y_3}=180$$
Solving for $$X$$ and $$Y$$, we get, $$X=40 g$$ and $$Y=30 g$$.

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