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Q.

The speed of sound in hydrogen at STP is v. The speed of sound in a mixture containing 3 moles of hydrogen and 2 moles of oxygen at STP will be

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a

v2

b

v5

c

7 v

d

v7

answer is D.

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Detailed Solution

Let the density of hydrogen be ρ'=2ρ, then the density of oxygen will be 32ρ . The density of the mixture will beρ"=35×2ρ+25×32ρ=14ρSince the pressure is the same, we havev"v=ρ'ρ"=2ρ14ρ=17
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The speed of sound in hydrogen at STP is v. The speed of sound in a mixture containing 3 moles of hydrogen and 2 moles of oxygen at STP will be