Formulas, Constants, and Conversion Factors Water Density (p) = 1000 kg / m3 = 62.4 lb / ft3 = 1.94 slug / ft3 Cp = 4.187 kJ / kg*K = 1 kcal / kg*K γ = 9.81 kN / m3 = 62.4 lb / ft3 Air Molar Mass = 28.97 kg / kmol R = Cp-Cv = 0.287 kJ / Kg*K Cp = 1.005 kJ / Kg*K Cv = 0.718 kJ / Kg*K k (ratio of Specific Heats) = Cp/Cv = 1.4 Ideal Gas R = 8.314 kPa*L / mol*K = 8.314 kJ / kg*K Gas Laws π1 π1 π π = 2π 2 π 1 2 ππ = ππ π π ππππ = π π Isentropic Relations (compression or expansion) adiabatic or internally reversible π2 π1 π1 π−1 = (π ) 2 π2 π1 π2 = (π ) 1 π−1 π π2 π2 βπ = π 2 − π 1 = ππ ln ( ) − π ln ( ) π1 π1 π2 π1 π = (π1 ) π 2 Basic Concepts πΉ ππππ π π’ππ = π = π΄ ππππ = πππππ + πππ‘π | π = πΎβ, π€βπππ πΎ = π. πΊ.∗ π or p * g π€ π= ∗β π£ππ Barometric Pressure = Patm, Manometric Pressure = Pg ππ 1 ππ‘π = 101.325 πππ = 1.01325 πππ = 760 ππππ = 760πππ»π = 14.7 ππ π = 1.033 ππ2 1π 1 ππ = 2 π 1 πΈπππππ¦ = πΎπΈ = 2 ππ£ 2 | ππΈ = ππβ ππππ = π = πΉ ∗ π = π(βπ) π π2 1 π½ = 1 π ∗ π = 1 (ππ ∗ 2 ) ∗ π = ππ ∗ 2 π π π πππ€ππ = π π2 (1 ππ ∗ ) π½ π2 π 2 1 πππ‘π‘ = 1 = = 1 ππ ∗ 3 π π π 1 ππ − β = 3600 ππ½ ππππππππ‘π’ππ = β °πΎ = β + 273 9 β = β + 32 5 °π = β + 460 ππππ’ππ = 1π3 = 1000πΏ = 106 ππ3 (ππ) = 35.32 ππ‘ 3 = 264.172 πππ π·πππ ππ‘π¦ (π) = π π ππ = π3 | 9.81 π 32.2 ππ‘ = π 2 π ππ π’ππ π‘ππππ ππππππππ πΊπππ£ππ‘π¦ (π. πΊ. ) = ππ€ππ‘ππ πΊπππ£ππ‘π¦ (π) = 2 π ππππππππ ππππ’ππ (π£) = π = π3 ππ