Exam 1 Formula Sheet - Ï 1 − 2 = Ê º м 2 1 Isobaric...

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Conversion factors: 100 J = 1 bar-liter 𝑇 𝐾 = 𝑇 ° 𝐶 + 273.15 𝑇 𝑅 = 𝑇 ° 𝐹 + 459.67 Property relations: ? ? = 𝜕? 𝜕𝑇 ? , ? ? = 𝜕? 𝜕𝑇 𝑃 𝑃 = 𝐹 𝐴 , ? = ? ? , ? = ? ? ? = ? + 𝑃? Hydrostatic pressure variation: Δ𝑃 = ??? Saturation relations: ? = 1 − 𝑥 ? ? + 𝑥? ? ? = 1 − 𝑥 ? ? + 𝑥? ? ? = 1 − 𝑥 ? ? + 𝑥? ? 𝑥 = ? − ? ? ? ? − ? ? where π = v , u , or h 𝑥 = ? ??? ? ??? Compressibility 𝑃? = ?𝑅𝑇 𝑃 𝑟 = 𝑃 𝑃 ? , 𝑇 𝑟 = 𝑇 𝑇 ? Solids and liquids: Δ ? = ? d 𝑇 ≈ ? Δ 𝑇 Δ ? = ? d 𝑇 ≈ ? Δ 𝑇 Ideal gas relations: 𝑃? = ?𝑅 𝑇 , 𝑅 = 𝑅 𝑀 𝑃? = ?𝑅𝑇 , 𝑃? = 𝑅𝑇 ? ? 0 = ? ? 0 + 𝑅 , 𝑘 = ? ? 0 ? ? 0 Δ ? = ? ? 0 d 𝑇 ≈ ? ? 0 Δ 𝑇 Δ ? = ? ? 0 d 𝑇 ≈ ? ? 0 Δ
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Unformatted text preview: Ï 1 − 2 = Ê º м 2 1 Isobaric process Ï 1 − 2 = º 1 ( ¼ 2 − ¼ 1 ) Linear P-V process: Ï 1 − 2 = 1 2 Àº 1 + º 2  ( ¼ 2 − ¼ 1 ) Polytropic process, ÑÒ Ó = Ô : n = ln(P 2 /P 1 ) ln(V 1 /V 2 ) = ln(P 1 /P 2 ) ln(V 2 /V 1 ) For n ≠ 1 : Ê P dV 2 1 = − 1 n − 1 À P 2 V 2 − P 1 V 1  For n = 1 : Ê P dV 2 1 = PVln Õ V 2 V 1 Ö Q 1 − 2 − W 1 − 2 = Δ U 1 − 2 + Δ KE 1 − 2 + Δ PE 1 − 2 First Law of Thermodynamics:...
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