Velocity of a gas in sound is not proportional to (where, T = Absolute temperature of the gas. P = Absolute pressure of the gas. y = Ratio of specific heats (Cp/Cv) ρ = specific weight of the gas) ?

Correct answer: B. 1/√P

  • A. √T
  • B. 1/√P
  • C. √y
  • D. 1/√ρ

Explanation

The sound speed is proportional to √(γP/ρ), or, for an ideal gas, to √T. It is therefore proportional to 1/√ρ but not to 1/√P, since increasing pressure increases sound speed at fixed density.

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