The speed of sound in oxygen ( O 2 ) at a certain temperature is 460 ms − 1 . The speed of sound in helium (He) at the same temperature will be (assumed both gases to be ideal)

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The speed of sound in oxygen ( O 2 ​ ) at a certain temperature is 460 ms − 1 . The speed of sound in helium (He) at the same temperature will be (assumed both gases to be ideal)

TestHub · Accepted Answer

​ v = M γ RT ​ ​ V 2 ​ V 1 ​ ​ = γ 2 ​ M 1 ​ γ 1 ​ M 2 ​ ​ ​ = 3 5 ​ × 32 5 7 ​ × 4 ​ ​ V 2 ​ 460 ​ = 25 × 8 21 ​ ​ ⇒ v 2 ​ = 21 ​ 460 × 5 × 2 2 ​ ​ = 1420 ​

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