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Thermodynamics - Equations. internal energy:ฮ”, is also shown as in many books and often on Quest) First Law of Thermodynamics(this is a mathematical version of the first law) Substances not changing phase: ==. Substances that are changing phase (transition): = =. "trans" will be one of the following: fusion, freezing, evaporation, condensation.


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K = mv2/2 = p2/2m. WNET = K. Potential Energy. Ugrav = mgy (near earth surface) Ugrav = -GMm/r (in general) Uspring = kx2/2. E = K + U = Wnc.


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Thermodynamics Cheat Sheet Universal Gas Law The First Law Always true: For cycles: For constant volume (no work done): Work Done Always true: True for constant : True for constant : (PV is constant) True when adiabatic & reversible: (Isentropic) Shaft Work Constant Pressure Constant Volume Perfect, Adiabatic & Reversible (Isentropic) is constant:


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Q = heat. Q = heat transferred during the process between state 1 and state 2. Q = rate of heat transfer. W = work. = work done during the change from state 1 to state 2. W = rate of work = power. 1w = 1 J/s. K = specific hear ratio.


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Basic Thermodynamic Formulas (Exam Equation Sheet) Control Mass (no mass flow across system boundaries) Conservation of mass: ๐‘š= ๐‘๐‘๐‘๐‘๐‘๐‘๐‘๐‘. Conservation of energy (1st Law): ๐‘„โˆ’๐‘Š= โˆ†๐ธ = โˆ†๐‘ˆ+ โˆ†๐พ๐ธ+ โˆ†๐‘ƒ๐ธ = ๐‘š โˆ†๐‘ข+ ๐‘ฃ2 2โˆ’๐‘ฃ 1 2 2 + ๐‘”(๐‘ง2โˆ’๐‘ง1)


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Chapter 3 Formula Sheet - Thermodynamics. Chapter 1. Chapter 2. Chapter 3. Chapter 4. Chapter 6.


Thermo Final Equation Sheet Interpolation x โˆ’x a y= y a+( y bโˆ’ y a)( ) x bโˆ’x a Work and Power

Chapter 6 Formula Sheet. Reversible Adiabatic (Isentropic Process): Entropy decrease in process 3-4 = the entropy increase in process 1-2.


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The Thermodynamics Formulas Sheet PDF can be downloaded in a device like Smartphone or tablet. Using the Thermodynamics Formulas PDF you can travel with them or can recall the formulas and all the related stuff anytime you want.


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Q = heat transferred during the process between state 1 and state 2. Q = rate of heat transfer. W = work. = work done during the change from state 1 to state 2. W = rate of work = power. 1w = 1 J/s. K = specific hear ratio. = constant pressure.


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Example: 1,000,000 Pa = 1 MPa. Newton's Second Law . Sometimes, the questions indicate weight (W) Temperature Conversion . Pressure Measurement


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Gas laws PDF image All of theormodynamics in one sheet 1 We have a total of 7 unknowns. 3 in state 1, 3 in state 2, and n, the polytrpoic process exponent. If given any 5 out of these 7, then the remaining 2 can be found. For example, if we know T1, P1, V1, n, P2, then we can find V2, and T2 P V n constant


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Formula Sheet for Thermodynamics. 1. Internal energy. The total energy of constituent molecules. It is equal to the sum of internal kinetic energy and potential energy. Change in internal energy dU = (U - U) = nC v dT Internal energy is a function of state only and its change does not depend on path. 2.


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Chapter 1 Formula Sheet; Chapter 2. Chapter 2 Formula Sheet; Chapter 3. Chapter 3 Formula Sheet; Chapter 4. Chapter 4 Formula Sheet; Chapter 5; Chapter 6. Chapter 6 Formula Sheet; Steam Property Tables


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Thermodynamics equation h , = Where m=mass, g=gravitational acceleration , = 3 Where m=mass, V =Volume Sign convention: Work done on a system = (+) Work done by a system = (-) ENERGY TRANSFER BY WORK: Electrical Work: When N Coulombs of electrical charge move through a potential difference V = In the rate form, = = 2 = Where 2 ( )


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Forms of the First Law of Thermodynamics Most general forms = Q - W, e = q - w, dE = Q - W, and de = q - w Neglecting changes in kinetic and potential energy = Q - W u = q - w, dU = Q - W, and du = q - w Neglecting changes in kinetic and potential energy, in terms of enthalpy = U + pV therefore dH = dU + pdV + Vdp so dH = - W + pdV + Vdp


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1 Heat and Temperature Temp. scales: F = 32 + 9 5C; K = C + 273:16 Ideal gas equation: pV = nRT, n : number of moles van der Waals equation: p + a 2 (V b) V = nRT Thermal expansion: L = L0(1 + A = A0(1 + T); V = V0(1 + = 3