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Basic Thermodynamic Formulas (Exam Equation Sheet) Control Mass (no mass flow across system boundaries) Conservation of mass: 𝑚= 𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐
Free online university thermodynamics cheat sheet with key equations needed to solve thermodynamic processes.
Variation of pressure with depth: Apply between two points in the same fluid. Where “below” refers to point at lower elevation and “above” at higher elevation. 1 2 x and x are the initial and final displacements of the spring. During actual exp/comp process of gases, P and V are related by PVn=C.
COMPENDIUM OF EQUATIONS Unified Engineering Thermodynamics I. Equation of State: pv = RT or p = RT for a thermally perfect gas II. Expressions for Work: A. Work for a simple compressible substance W = p ext dV V 1 V 2 B. Work for a simple compressible substance undergoing a quasi-static process W = pdV V 1 V 2
Thermodynamics is the study of how heat moves around in ‘macroscopic’ objects. Through-out these lectures, we will talk a lot about laws and models. Models are a simplified, empirical description of a real system which generally develops overtime as our knowledge progresses.
Formula Units; Displacement Work . Integration . Specific Work . Power (rate of work) Velocity . Torque . Isobaric Process . Polytropic Exponent . n=1 . Polytropic Process Work . Isothermal Process . Adiabatic Process . Conduction Heat Transfer . Convection Heat Transfer
Enthalpy, ΔH, is the measure of heat energy in a system at constant pressure. Enthalpy change when one mole of a substance is made from its elements in standard conditions. Entropy, ΔS, is the measure of disorder in a system. A higher entropy = A greater amount of disorder. Solids < Liquids < Gases.
Reversible Adiabatic (Isentropic Process): Entropy decrease in process 3-4 = the entropy increase in process 1-2.
Introduction to Thermodynamics, equations. By Nasser M Abbasi image2.vsd August 2004. 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.
First law of Thermodynamics, where Δ is the net work done on the system. The thermal energy balance in a steady state without energy change. The mechanical energy balance. Bernoulli’s equation: Neglects all friction and heat production. h is height.