Chemical Engineering Basics

Q1: The velocity of sound in air is independent of changes in its

A humidity

B pressure

C temperature

D none of these

ANS:B - pressure

the influence of pressure on the velocity of sound in air. In the ideal gas law, pressure, temperature, and density are related by the equation PV=nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature. For an ideal gas (which air approximates under many conditions), the speed of sound (v) is given by: v=ργ⋅P​​ Where:

  • γ is the adiabatic index (ratio of specific heats), which is approximately 1.4 for air.
  • P is the pressure.
  • ρ is the density of the gas.
As we can see from this equation, pressure (P) is indeed a factor in determining the speed of sound in air. However, in most situations, variations in pressure are relatively small compared to the influence of temperature. For typical atmospheric conditions, pressure variations have a minor effect on the speed of sound. However, in extreme cases such as high-altitude environments (where pressure is significantly lower) or in specialized applications, pressure variations can become more significant. So while pressure does influence the speed of sound in air, its effect is often overshadowed by the more pronounced influence of temperature.



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