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Question

The density of phosphorus vapours at 310C and 775 torr is 2.64 g dm3. What is the molecular formula of phosphorus?

A
P2
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B
P4
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C
P6
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D
P8
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Solution

The correct option is B P4
We know that, P=dMRT or M=dPRT
Given: d=2.64 g dm3 ; P=775760 atm
R=0.0821 dm3atm K1mol1
and T=310+273=583 K
So, M=2.64×0.0821×583×760775=123.9 g mol1
Atomic mass of P=31 g mol1
No. of P atoms in a molecule =123.931=3.9974
Hence, the molecular formula of phosphorus =P4

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