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 2NSolution:- (C) 2NFrom ideal gas equation-PV=nRT⇒n=PVRTFor O2-V=1L(Given)No. of moles of O2=PRTTherefore,No. of molecules of O2=n×Na=N(Given)⇒PRT×Na=N.....(1)For SO2-V=2L(Given)No. of moles of SO2=2PRTTherefore,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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