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The speed of sound in oxygen at STP is approximately (take R=8.3 J K⁻¹ mol⁻¹ and γ=1.4)

Asked in JEE Main 31st Jan 2nd Shift 2024 · Speed of sound in a gas

Answer: (2) 310 m s⁻¹

Step-by-step solution

v=√(γ RT)/M with T=273 K and M=32×10⁻³ kg mol⁻¹.

(1.4×8.3×273)/(0.032)=(3172)/(0.032)=9.91×10⁴.

v=√9.91×10⁴≈315 m s⁻¹, closest to 310 m s⁻¹.

Why the other options are wrong

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