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Unformatted text preview: Patel (pnp223) homework 04 Turner (92160) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Derive an equation for the speed of sound v in air by using dimensional analysis only. Hint: Let R , P , T , , and be the gas con- stant [ R ] = m 2 kg s 2 K , air pressure [ P ] = kg m s 2 , temperature [ T ] = K, molar mass [ ] = kg, and volume density respectively [ ] = kg / m 3 . Start from the equation of state P = R T (derived from P V = n R T ) and choose four (independent) parameters, for instance P , , R , and T . Assume: The speed of sound only depends on these four parameters (is it reasonable?) and check if your expression for the speed v is proportional to 1. v radicalbigg T R 2. v radicalbigg T R P 3. v radicalbigg P T R 4. v radicalBigg P T P 5. v radicalBigg T R 6. v radicalBigg R T 7. v radicalbigg...
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