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Question

# For Gaseous state, if most probable speed is denoted by C+, average speed by ¯¯¯¯C and mean square speed by C\$, then for a large number of molecules the ratios of these speeds are:

A
C+:¯¯¯¯C:C=1.225:1.128:1
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B
C+:¯¯¯¯C:C=1.128:1.225:1
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C
C+:¯¯¯¯C:C=1:1.128:1.225
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D
C+:¯¯¯¯C:C=1:1.225:1.128
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Solution

## The correct option is D C+:¯¯¯¯C:C=1:1.128:1.225We know that C+=√2RTM,¯¯¯¯C=√8RTπM,C=√3RTMWe have to calculate:-C+:¯¯¯¯C:C=√2RTM,√8RTπM,√3RTM=1:1.128:1.225As we knowP=DRTMWdt=constd1T1=d2T2D×300=0.75d×T2T2=100×4T2=400K

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