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Q.

Ifat N.T.P., velocity of sound in a gas is 1150 m/s, then the r.m.s. velocity of gas molecules at N.T.P. is : (Given R = 8.3 J/mol K and CP = 4.8 cal/mol K)

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a

1600 m/s

b

1532.19 m/s

c

160 m/s

d

16 m/s

answer is B.

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Detailed Solution

Here, R=8⋅34⋅2cal/g mol KCv=Cp−R=4.8−8⋅34⋅2=2⋅824 cal/mol K ∴ γ=CpCV=4⋅82⋅824=1⋅69 So, vrms=3γvsound =1532⋅19m/s
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