The acoustic velocity within an ideal gas depends upon the __________________?
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Answer: A. Temperature
Explanation
The acoustic velocity of an ideal gas depends directly on its absolute temperature and specific heat ratio. Sound wave propagation relies on molecular thermal motion to transmit pressure disturbances rapidly. Higher absolute temperatures increase molecular kinetic energy resulting in faster acoustic wave speeds. Acoustic velocity represents the speed at which small pressure waves travel through a medium. Ideal gas law relates pressure density and temperature through universal gas constant values. Specific heat ratio is a constant property depending on whether the gas is monatomic or diatomic.
Aerospace engineers must account for temperature-dependent acoustic speeds when calculating Mach numbers. Meteorological studies analyze atmospheric temperature profiles to understand sound wave refraction. Gas turbine engine design requires accurate acoustic velocity calculations for compressor stages. Pressure changes alone do not alter ideal gas acoustic velocity because density changes proportionally. Density variations are already accounted for through temperature and molecular weight relationships. Selecting none of these is incorrect because temperature is the primary independent variable.
- Subject
- Engineering
- Category
- Chemical Engineering
- Topic
- —
- Difficulty
- medium
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