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Unformatted text preview: Patel (pnp223) homework 04 Turner (92160) 1 This printout should have 11 questions. Multiplechoice 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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 Spring '09
 Turner
 Physics, Work

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