Formula Sheet for Physics 7A Final Exam, Winter 2009 Equations: Temperature change: Δ T = Q/C Phase change : Δ m = Q/ Δ H Thermal energy: Δ E th = C Δ T = mc m Δ T = nc n Δ T Bond Energy: Δ E bond = ±| Δ m × (heat of the phase change, Δ H ) | Gravitational PE: Δ PE g = mg E Δ y Translational KE: Δ KE = 1 2 m Δ v 2 = 1 2 m ( v 2 f-v 2 i ) Spring-mass PE: Δ PE spring-mass = 1 2 k Δ x 2 = 1 2 k ( x 2 f-x 2 i ) Force: | F | = | d ( PE ) /dr | Particle model of bond energy: E bond = ∑ all pairs ( PE pair-wise ) = # NN (-± )+# NNN ( PE NNN )+. .. Particle model of thermal energy: E thermal (total) = (total number of active modes) × (1 / 2) k B T OR: E thermal (total) = (number of active modes per particle) × (number of moles) × N A × 1 2 k B T For an ideal gas: Δ U = Δ E thermal Average in a L-J potential (two particles): PE AV E = E bond + 1 2 E th ; KE AV E = 1 2 E th C V = dE thermal /dT, C p = C V + pdV/dT (= C V + R , for ideal gas) c vm = C V /n = (number of active modes per particle)
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This note was uploaded on 05/12/2010 for the course PHY 7 taught by Professor Staff during the Spring '08 term at UC Davis.