235 - Eq Sheet

# Equation sheet 040715 p p max sin kx ωt p max ρvωs

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Equation Sheet 04/07/15 ∆ P = ∆ P max sin ( kx ωt ) ∆ P max = ρvωS max Intensity and Sound Level I = 1 2 ρvω 2 S max 2 Decibel Scale β = 10log 10 ( I I 0 ) Chapter 18 Superposition and Interference y 1 + y 2 = 2 A cos ( φ 2 ) sin ( kx ω Standing Waves L = 2 Nodes: x = 2 for n = 1,2,3, Antinodes: x = 4 for n = 1,3,5, f n = n 2 L T μ f 1 = T μ 2 L SWs in open-ended pipe L = 2 for n = 1,2,3 ,… f n = nv 2 L for n = 1,2,3, SWs in a closed-end pipe L = 4 for n = 1,3,5 ,… f n = nv 4 L for n = 1,3,5, Chapter 19 Ideal Gas PV = nRT = N k B T P 1 P 2 = V 2 V 1 T 1 T 2 = V 1 V 2 Constant Volume Thermometer T = T 3 ( P P 3 ) Conversions T K = T C + 273.15 T F = 1.8 T C + 32 Thermal Expansion ∆ L = L i α ∆T ∆ A = 2 A i α ∆T ∆V = V i β ∆T β = 3 α Chapter 20 Heat Q = C ' ( T f T i ) = Cm ( T f T i ) Q = Lm First Law of Thermodynamics ¿ = Q + W ∆ E ¿ Work done by a gas W = V i V f PdV = P ( V f V i ) Work done on a gas W =− V i V f PdV =− P ( V f V i ) Isothermal Process W = nRT ln ( V f V i ) Chapter 21 Ideal Gas 3 2 k B T = 1 2 m 0 ´ V 2 V rms = ´ V 2 = 3 k B T m 0 = 3 RT M K = 3 2 k B T K trans = 3 2 nRT = 3 2 N k B T ¿ = n ( C v ) ∆T ∆ E ¿ Q = nC p ∆T

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Equation Sheet 04/07/15 C v = f 2 R C p = R ( f 2 + 1 ) γ = C p C v PV γ = constant Chapter 22
• Winter '15
• MaryAbbott

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