Cheat Sheet for all the formulas in Shigleys engineering designFull description
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DnD Fifth Edition Cheat Sheet/DM Screen Sheets. contains some valuable rules that can be found quickly on first glance.
Mixing Cheat SheetFull description
electrical cheat sheet for high school and collegeFull description
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Basic outline, plot, and analysis of 1984 by George Orwell.Full description
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All shortcut to learn Optics chapter, its cheat sheet,Descripción completa
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electrical cheat sheet for high school and collegeFull description
ECON 002 Penn 2012
A Cheat Sheet for the TAU test in Data Structures.
13-6-24
Thermodynamics Cheat Sheet
Thermodynamics Cheat Sheet Calorimetry Heat required to change temperature: Q = mcΔT Heat required to change phase: Q = mL Ideal Gas Law: Boyle's Law
PV = nRT (in Kelvin) Constant Temperature PV = constant P1 V1 =P2 V2 Charles/Gay Lussac Law Constant Pressure V/T = constant V1 /T1 =V2 /T2
0th Law: Two objects, each in thermal equilibrium with a third object, are in thermal equilibrium with each other. Math Example: If A = C and B = C, then A = B. 1st Law: The change in internal energy of a system equals the difference between the heat taken in by the system and the work done by the system. Formula: ΔU = Q - W (in Kelvin)
Isothermal no temp change
ΔU = W Q = 0 ΔT = 0 so ΔU = 0 Q = W
Isochoric no volume change
ΔV = 0 so W = 0 ΔU = Q
Adiabatic no heat flow
Isobaric
no pressure change ΔP = 0
W=PΔV
2nd Law: Clausius statement: Heat cannot, by itself, pass from a colder to a warmer body. Kelvin-Planck statement: It is impossible for any system to undergo a cyclic process whose sole result is the absorption of heat from a single reservoir at a single temperature and the performance of an equivalent amount of work. Actual Thermal Efficiency
Ratio of work to heat input
Ideal Thermal Best possible case Efficiency Entropy
How much energy/heat is unavailable for conversion into work
"Poker game" analogy of the three laws of thermodynamics 0th Law: You can't get out of the game (everything in the universe is in the system, so all objects are in thermal equilibrium or are moving towards it unless we do something about it) 1st Law: You can't win (You can't get something for nothing. If you want work out, you must put heat/energy in and vice versa) 2nd Law: You always lose (Efficiency < 1, Entropy > 0) WebLinks http://hyperphysics.phy-astr.gsu.edu/hbase/heacon.html#heacon Exercise Consider a system that is taken along the paths shown on the P-V diagram. Assume Ua = 30,000 J a) Find the work done by the system in going from a to b. b) Find the work done by the system in going from b to c. c) If 20 kJ of heat enters the system along the path from a to b, what is the internal energy at point b? d) If the internal energy at point c is 95 kJ, how much heat enters or leaves the system along the path from b to c? e) Run it backwards: If 21 kJ of heat enters the system in going from a to d, what is internal energy at point d? f) Run it backwards: Find the heat that enters the system along the path from d to c. g) If the system is taken along the closed loop a→b→c→d→a, how much work is done? h) Find the area of the rectangular path. i) What is the net heat that enters the system?
