# hw 4 - Patel(pnp223 – homework 04 – Turner –(92160 1...

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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 , μ , and ρ be the gas con- stant [ R ] = m 2 kg s 2 K , air pressure [ P ] = kg m s 2 , temperature [ T ] = K, molar mass [ μ ] = kg, and volume density respectively [ ρ ] = kg / m 3 . Start from the equation of state P μ = ρ R T (derived from P V = n R T ) and choose four (independent) parameters, for instance P , μ , 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 μ T R 2. v ∝ radicalbigg μ T R P 3. v ∝ radicalbigg P T R 4. v ∝ radicalBigg P T μ P 5. v ∝ radicalBigg T R μ 6. v ∝ radicalBigg R T μ 7. v ∝ radicalbigg...
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## This note was uploaded on 07/11/2009 for the course PHY 92160 taught by Professor Turner during the Spring '09 term at University of Texas.

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hw 4 - Patel(pnp223 – homework 04 – Turner –(92160 1...

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