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Question

The molecular weight of O2 and SO2 are 32 and 64 respectively. If one litre of O2 at 150C and 759mm pressure contains N molecules, the number of molecules in two litre of SO2 under the same conditions of temperature and pressure will be:

A
N/2
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B
N
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C
2N
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D
4N
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Solution

The correct option is A 2N
Solution:- (C) 2N
From ideal gas equation-
PV=nRT
n=PVRT
For O2-
V=1L(Given)
No. of moles of O2=PRT
Therefore,
No. of molecules of O2=n×Na=N(Given)
PRT×Na=N.....(1)
For SO2-
V=2L(Given)
No. of moles of SO2=2PRT
Therefore,
No. of molecules of SO2=n×Na
No. of moles of SO2=2PRT×Na
No. of molecules of SO2=2N(From (1))
Hence the no. of molecules of SO2 is 2N.

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