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Question

# The molecular mass of O2 and SO2 are 32 and 64 respectively. If one litre of O2 at 15∘C and 750 mm pressure contains N molecules, the number of molecules in two litre of SO2 under the same conditions of temperature and pressure will be:

A
2N
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B
N
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C
N2
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D
4N
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Solution

## The correct option is B 2NFrom ideal gas equation, PV=nRT. Oxygen, V=1L,P=750mm HgSulphur dioxide, V=2L,P=750mm HgMoles of O2⟹PVRT=n1=1×1RTNumber of molecules =N=NaRT⟶(i)Similarly for SO2,Moles of SO2=PVRT=n2=1×2RTLet number of molecules =M=2NaRT⟶(2)By dividing both eq.1 and eq.2 we get, MN=2M=2N

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