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Why is velocity of sound in gases independent of pressure?
The velocity of sound in gases is independent of pressure changes due to the relationship between molecular speed and temperature. At a constant temperature, the effects of pressure and density on sound speed counterbalance each other, resulting in no net effect on the velocity of sound. This principle is grounded in the ideal gas law, which illustrates that pressure and density are directly proportional, leading to their equal but opposite influences on sound propagation.
PREREQUISITESStudents of physics, educators in thermodynamics, and professionals in acoustics will benefit from this discussion on the principles governing sound velocity in gases.