SampleFinalExamEquationSheet-draftonly 2011

# SampleFinalExamEquationSheet-draftonly 2011 - = mg Δ y Δ...

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page 13 Formula (and constants) Sheet Separate this sheet from the test packet. Do not turn it in. U = Q + W U = E th + E bond H = U + PV H = Q (at constant pressure) Δ G = Δ H - T Δ S Q = T Δ S = TdS Q = C p Δ T = C p dT W = F | | Δ x = P Δ V = PdV PV = n R T P atm = 1 atm = 10 5 Pa (= 10 5 J/m 3 ) Δ S universe 0 S = k B ln Ω Δ S system = Q T S system = C ln( T f / T i ) or = Q / T avg S system = C V ln( T f / T i ) S system = C P ln( T f / T i ) C = Q / T C = c mass * mass C V = d E th /d T OR C v /R = n (# modes)/2 C p = C v + nR (for an ideal gas) E avg/mode = 1/2 k B T E thermal = (# of modes/molecule)*1/2* n R T E thermal/mole = N A (# of modes/molecule)*1/2*k B T Δ E thermal = C Δ T Or =mc mass T E bond per atom = N atoms * ε *(# bonds) or = n N A ε *(# bonds) Or E bond per atom = N atoms * ε *(# nearest neighbors)/2 Δ E bond = ± ΢ m ΢΢Δ H vap ΢ Δ E bond = ± ΢ m ΢΢Δ H melt ΢ Δ KE = 1 2 m Δ v 2 ( ) Δ PE grav
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Unformatted text preview: = mg Δ y Δ PE spring = 1 2 k Δ x 2 ( ) g Earth = 10 N/kg = 10 m/s 2 N A = 6.02 x 10 23 molecules (or atoms)/mole k B = 1.38 × 10 − 23 J K R = N A k B = 8.31 J/K•mol 1,000 g = 1 kg 4.18 J = 1.0 cal 1 kcal = 1000 cal 1,000 J = 1 kJ ° C = 273 K Area of rectangle = height*base Area of triangle = (1/2)*height*base Area of parallelogram = height*base Specific Heats: c ice = 2.05 kJ/kg K c water = 4.18 kJ/kg K Melting points: H 2 O at 0 ° C Boiling points: H 2 O at 100 ° C Probability( state i ) = [ # of microstates for state i ] / [ total # of microstates ]...
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