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Question

$$100\ ml$$ of $$PH_{3}$$ when decomposed produces phosphorus and hydrogen. The change in volume is:


A
50 ml increase
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B
500 ml decrease
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C
900 ml decrease
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D
none of the above
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Solution

The correct option is A $$50\ ml$$ increase
The equation for the decomposition is:

 $$4PH_3 (g) \rightarrow P_4 (s)+ 6H_2 (g)$$  (Elemental phosphorus exists as tetra-atomic molecules).

When the temperature and pressure remain the same, 4 ml of $$PH_3$$ will give 6 ml of $$H_2$$.   (On applying Gay-Lussac's law ).

Hence, 100 ml of $$PH_3$$ will yield 150 ml of $$H_2.$$

Increase in volume = (150-100) ml = 50 ml. (The volume of solid phosphorus is negligible).

Hence, the correct option is $$A$$

Chemistry

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