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Q.

The speed of sound in hydrogen gas is v 0  at temperature T 0  . Then the speed of sound in the mixture of helium and oxygen gas having same number of moles at temperature  T 0   is

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a

v 0 3  

b

5 21 v 0    

c

3 14 v 0  

d

5 42 v 0  

answer is C.

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Detailed Solution

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V=γRTM

V0=7RT5(2)

Vmix =γmix RTMMix

Mmix =n[4]+n[32]2n=18 
2nγmix −1=n75−1+n53−1

⇒γmix=32

So, Vmix=542V0 
 

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