2012 Study-Guide-2

Heating cooling pa pb p pext constant only t and

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Unformatted text preview: δqP (TRUE FOR ANY CONSTANT PRESSURE (ISOBARIC) PROCESS The following definitions apply to any system: # ∂U & CV = % ( $ ∂T ' V # ∂H & CP = % ( $ ∂T 'P # ∂U & # ∂p & π T = % ( = T% ( − p $ ∂V ' T $ ∂T ' V CP − C V = VTα 2 κT # ∂H & # ∂V & µ T = % ( = V − T% ( $ ∂p ' T $ ∂T ' p α= 1 # ∂V & %( V $ ∂T ' p # ∂T & µ JT = % ( $ ∂p ' H € Relationships between Δ H and Δ U Know how to obtain the following equations: ΔH = ΔU + nR ΔT (Heating or cooling of an ideal gas) ΔH = ΔU + RT Δng (Chemical reaction at constant temperature) ΔH = ΔU + p ΔV (any process at constant pressure) ΔH = ΔU + V Δp (any process at constant volume) 2 κT = −1# ∂V & %( V $ ∂p ' T Transformations For n Moles of an Ideal Gas Between States A and B: Isochoric Heating / Cooling: VA = VB (Only T and p vary) pA / TA = pB / TB ΔU = CV (TB - TA) = n CVm (TB - TA) ΔH = CP (TB - TA) = n CPm (TB - TA) q = ΔU w = 0 Isobaric Heating / Cooling: pA = pB (p = pext = constant) (Only T and V vary) VA / TA = VB / TB Δ...
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