🌑️ Physics · Thermodynamics

Memory tricks for thermodynamics

Ideal gas law, laws of thermodynamics, Carnot efficiency, heat transfer, entropy, and phase changes.

🌑️ Thermodynamics

Memory Tricks

Proven Mnemonics & Acronyms β€” fast to learn, hard to forget.

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Ideal Gas Law
PV = nRT
Ideal Gas Law
Pressure Γ— Volume = moles Γ— gas constant Γ— Temperature
P = pressure, V = volume, n = moles, R = 8.314 J/molΒ·K, T = temperature in Kelvin. Compress gas β†’ pressure rises. Heat gas β†’ pressure or volume increases.
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πŸƒ Ideal Gas Law
The ideal gas law?
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πŸƒ Answer
PV = nRT
P = pressure, V = volume, n = moles, R = 8.314 J/molΒ·K, T = temperature in Kelvin. Compress gas β†’ pressure rises. Heat gas β†’ pressure or volume increases.
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Heat Transfer
CCR: Conduction, Convection, Radiation β€” 3 heat transfer modes
Heat Transfer
Three ways heat moves β€” remember CCR
Conduction: direct contact (metal spoon in soup). Convection: fluid movement (boiling water). Radiation: electromagnetic waves (sun warming you). Radiation needs no medium.
C
Conduction β€” contact
C
Convection β€” fluid movement
R
Radiation β€” EM waves, no medium needed
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πŸƒ Heat Transfer
CCR β€” the three modes of heat transfer?
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πŸƒ Answer
CCR: Conduction, Convection, Radiation β€” 3 heat transfer modes
CConduction β€” contact
CConvection β€” fluid movement
RRadiation β€” EM waves, no medium needed
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Second Law
Entropy always increases in isolated systems β€” disorder grows
Second Law
Things move from order to disorder spontaneously β€” never the reverse
A shattered egg never reassembles. Ice melts in warm room but water won't freeze spontaneously. The universe trends toward maximum disorder (maximum entropy).
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πŸƒ Second Law
The second law of thermodynamics?
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πŸƒ Answer
Entropy always increases in isolated systems β€” disorder grows
A shattered egg never reassembles. Ice melts in warm room but water won't freeze spontaneously. The universe trends toward maximum disorder (maximum entropy).
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Carnot Efficiency
Carnot efficiency = 1 - (Tc/Th) β€” maximum possible efficiency of any heat engine
Carnot Efficiency
No real engine can exceed Carnot efficiency β€” it's the theoretical maximum
Efficiency depends only on the temperatures of the hot (Th) and cold (Tc) reservoirs in Kelvin. Higher temperature difference β†’ higher efficiency. Real engines always fall short due to irreversibility.
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πŸƒ Carnot Efficiency
Carnot efficiency β€” the formula?
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πŸƒ Answer
Carnot efficiency = 1 - (Tc/Th) β€” maximum possible efficiency of any heat engine
Efficiency depends only on the temperatures of the hot (Th) and cold (Tc) reservoirs in Kelvin. Higher temperature difference β†’ higher efficiency. Real engines always fall short due to irreversibility.
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Temperature Scales
Temperature scales: K = Β°C + 273. Absolute zero = 0 K = -273Β°C β€” molecules have the minimum possible energy.
Temperature Scales
Converting between Celsius and Kelvin β€” and what absolute zero means
Always use Kelvin in gas law calculations. 0 K (absolute zero): minimum possible temperature, molecules have minimum kinetic energy. Room temperature β‰ˆ 293 K. Water freezes at 273 K, boils at 373 K. Fahrenheit: Β°F = (9/5)Β°C + 32.
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πŸƒ Temperature Scales
Kelvin vs Celsius β€” conversion and absolute zero?
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πŸƒ Answer
Temperature scales: K = Β°C + 273. Absolute zero = 0 K = -273Β°C β€” molecules have the minimum possible energy.
Always use Kelvin in gas law calculations. 0 K (absolute zero): minimum possible temperature, molecules have minimum kinetic energy. Room temperature β‰ˆ 293 K. Water freezes at 273 K, boils at 373 K. Fahrenheit: Β°F = (9/5)Β°C + 32.
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Specific Heat Capacity
Specific heat capacity: Q = mcΞ”T. Water has high specific heat β€” resists temperature change.
Specific Heat Capacity
How much energy is needed to change a substance's temperature
Q = heat energy (J), m = mass (kg), c = specific heat capacity (J/kgΒ·K), Ξ”T = temperature change. Water: c = 4,186 J/kgΒ·K β€” very high. Metals: much lower c. High specific heat = more energy needed to heat up = slower temperature change. This is why coastal cities have milder climates.
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πŸƒ Specific Heat Capacity
Specific heat capacity β€” formula, and why water?
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πŸƒ Answer
Specific heat capacity: Q = mcΞ”T. Water has high specific heat β€” resists temperature change.
Q = heat energy (J), m = mass (kg), c = specific heat capacity (J/kgΒ·K), Ξ”T = temperature change. Water: c = 4,186 J/kgΒ·K β€” very high. Metals: much lower c. High specific heat = more energy needed to heat up = slower temperature change. This is why coastal cities have milder climates.
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Thermal Expansion
Thermal expansion: solids, liquids, and gases all expand when heated. Bridges have expansion joints.
Thermal Expansion
Most materials expand when heated and contract when cooled
Linear expansion: Ξ”L = Ξ±LΞ”T where Ξ± = coefficient of linear expansion. Volume expansion: Ξ”V = Ξ²VΞ”T where Ξ² β‰ˆ 3Ξ±. Applications: gaps in railroad tracks and bridges (expansion joints), thermostats (bimetallic strips), thermometers. Exception: water expands when it freezes (ice less dense than water).
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πŸƒ Thermal Expansion
Thermal expansion?
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πŸƒ Answer
Thermal expansion: solids, liquids, and gases all expand when heated. Bridges have expansion joints.
Linear expansion: Ξ”L = Ξ±LΞ”T where Ξ± = coefficient of linear expansion. Volume expansion: Ξ”V = Ξ²VΞ”T where Ξ² β‰ˆ 3Ξ±. Applications: gaps in railroad tracks and bridges (expansion joints), thermostats (bimetallic strips), thermometers. Exception: water expands when it freezes (ice less dense than water).
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Heat Engines
Heat engines: take heat from hot reservoir, do work, dump waste heat to cold reservoir
Heat Engines
How all heat engines work β€” from car engines to power plants
All heat engines follow the same principle: absorb heat Qh from hot source, convert some to work W, reject remaining heat Qc to cold sink. Efficiency = W/Qh = 1 - Qc/Qh. Carnot efficiency is the theoretical maximum: 1 - Tc/Th. Real engines always less efficient due to friction and irreversibility.
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πŸƒ Heat Engines
How does a heat engine work?
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πŸƒ Answer
Heat engines: take heat from hot reservoir, do work, dump waste heat to cold reservoir
All heat engines follow the same principle: absorb heat Qh from hot source, convert some to work W, reject remaining heat Qc to cold sink. Efficiency = W/Qh = 1 - Qc/Qh. Carnot efficiency is the theoretical maximum: 1 - Tc/Th. Real engines always less efficient due to friction and irreversibility.
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Phase Changes
Phase changes: melting, freezing, vaporization, condensation, sublimation. Temperature constant during phase change.
Phase Changes
What happens to temperature during a change of state
During a phase change, temperature stays constant while energy goes into breaking/forming intermolecular bonds. Latent heat of fusion (melting/freezing): energy to change between solid and liquid. Latent heat of vaporization: energy to change between liquid and gas. Q = mL where L = latent heat.
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πŸƒ Phase Changes
Phase changes β€” what happens to temperature?
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πŸƒ Answer
Phase changes: melting, freezing, vaporization, condensation, sublimation. Temperature constant during phase change.
During a phase change, temperature stays constant while energy goes into breaking/forming intermolecular bonds. Latent heat of fusion (melting/freezing): energy to change between solid and liquid. Latent heat of vaporization: energy to change between liquid and gas. Q = mL where L = latent heat.
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Zeroth Law
Zeroth Law of Thermodynamics: if A=B in temperature and B=C, then A=C. Basis of thermometers.
Zeroth Law
The law that makes temperature measurement possible
If object A is in thermal equilibrium with object B, and object B is in thermal equilibrium with object C, then A and C are in thermal equilibrium with each other. This is why thermometers work β€” they reach equilibrium with whatever they measure. Called 'zeroth' because it was defined after 1st and 2nd laws.
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πŸƒ Zeroth Law
The Zeroth Law of Thermodynamics?
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πŸƒ Answer
Zeroth Law of Thermodynamics: if A=B in temperature and B=C, then A=C. Basis of thermometers.
If object A is in thermal equilibrium with object B, and object B is in thermal equilibrium with object C, then A and C are in thermal equilibrium with each other. This is why thermometers work β€” they reach equilibrium with whatever they measure. Called 'zeroth' because it was defined after 1st and 2nd laws.
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Heat Conduction Formula
Conduction equation: Q/t = kAΞ”T/d. Better insulator = lower k value.
Heat Conduction Formula
The rate of heat flow through a material
Q/t = kAΞ”T/d. k = thermal conductivity (high k = good conductor, low k = good insulator). A = cross-sectional area. Ξ”T = temperature difference. d = thickness. Metals have high k. Air, wood, foam have low k. R-value (insulation): R = d/k, higher R = better insulator.
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πŸƒ Heat Conduction Formula
Heat conduction β€” the equation, and what makes a good insulator?
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πŸƒ Answer
Conduction equation: Q/t = kAΞ”T/d. Better insulator = lower k value.
Q/t = kAΞ”T/d. k = thermal conductivity (high k = good conductor, low k = good insulator). A = cross-sectional area. Ξ”T = temperature difference. d = thickness. Metals have high k. Air, wood, foam have low k. R-value (insulation): R = d/k, higher R = better insulator.
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Four Laws of Thermodynamics
ZFST β€” Zeroth (equilibrium), First (energy conservation), Second (entropy), Third (absolute zero)
All four laws of thermodynamics and what each governs
You can remember them as: you must play, you cannot win, you cannot break even, you cannot quit
Zeroth Law: if A is in thermal equilibrium with B and B with C, then A is in equilibrium with C β€” defines temperature. First Law: Ξ”U = Q βˆ’ W β€” energy is conserved (heat added minus work done by system). Second Law: entropy of isolated system never decreases β€” heat flows hot to cold, not reverse. Third Law: as Tβ†’0 K, entropyβ†’0 (perfect crystal at absolute zero). Mnemonic for 1st and 2nd: you can't win (can't create energy), you can't break even (can't avoid entropy increase).
Zeroth
Thermal equilibrium is transitive β€” defines temperature measurement
First
Ξ”U = Q βˆ’ W β€” energy conserved, just changes form
Second
Entropy never decreases β€” irreversibility of natural processes
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πŸƒ Four Laws of Thermodynamics
ZFST β€” the four laws of thermodynamics?
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πŸƒ Answer
ZFST β€” Zeroth (equilibrium), First (energy conservation), Second (entropy), Third (absolute zero)
ZerothThermal equilibrium is transitive β€” defines temperature measurement
FirstΞ”U = Q βˆ’ W β€” energy conserved, just changes form
SecondEntropy never decreases β€” irreversibility of natural processes
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Entropy and Disorder
S = k ln W β€” entropy is the number of microstates. More disorder = higher entropy = more probable state.
What entropy actually measures and why it always increases
The universe tends toward higher entropy because there are vastly more disordered states than ordered ones
Boltzmann entropy: S = k_B ln W where W = number of microstates consistent with the macrostate. k_B = 1.38Γ—10⁻²³ J/K. A gas spreading to fill a room: overwhelming number of microstates with gas spread out vs. concentrated β€” statistically certain to spread. Entropy change: Ξ”S = Q/T for reversible process. Ξ”S > 0 for irreversible. Gibbs free energy: G = H βˆ’ TS. Spontaneous when Ξ”G < 0. High T favors entropy-driven reactions. Low T favors enthalpy-driven.
S = k ln W
Entropy = Boltzmann constant Γ— ln(number of microstates)
Ξ”S = Q/T
Entropy change for reversible process β€” larger at lower T
Ξ”G = Ξ”H βˆ’ TΞ”S
Gibbs free energy β€” spontaneous when negative
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πŸƒ Entropy and Disorder
Entropy β€” the Boltzmann formula?
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πŸƒ Answer
Entropy β€” S = k ln W
S = k ln W β€” entropy is the number of microstates. More disorder = higher entropy = more probable state.
S = k ln WEntropy = Boltzmann constant Γ— ln(number of microstates)
Ξ”S = Q/TEntropy change for reversible process β€” larger at lower T
Ξ”G = Ξ”H βˆ’ TΞ”SGibbs free energy β€” spontaneous when negative
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Thermodynamic Processes
IIAP β€” Isothermal (T fixed), Isobaric (P fixed), Adiabatic (Q=0), Isochoric (V fixed)
The four standard thermodynamic processes and what each holds constant
Each process has a simplified version of the first law β€” learn which term goes to zero for each
Isothermal (constant T): Ξ”U = 0 for ideal gas β†’ Q = W. PV = constant (Boyle's Law). Isobaric (constant P): W = PΞ”V. Q = nCpΞ”T. Adiabatic (no heat exchange, Q = 0): Ξ”U = βˆ’W. TV^(Ξ³-1) = constant. Faster process = more adiabatic. Isochoric/Isovolumetric (constant V): W = 0. Ξ”U = Q = nCvΞ”T. PV diagram: isothermal = hyperbola. Adiabatic = steeper hyperbola. Isobaric = horizontal line. Isochoric = vertical line.
Isothermal
T constant β†’ Ξ”U = 0 β†’ Q = W for ideal gas
Adiabatic
Q = 0 β†’ Ξ”U = βˆ’W β†’ temperature changes as work done
Isochoric
V constant β†’ W = 0 β†’ all heat goes to internal energy
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πŸƒ Thermodynamic Processes
IIAP β€” the four thermodynamic processes?
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πŸƒ Answer
IIAP β€” Isothermal (T fixed), Isobaric (P fixed), Adiabatic (Q=0), Isochoric (V fixed)
IsothermalT constant β†’ Ξ”U = 0 β†’ Q = W for ideal gas
AdiabaticQ = 0 β†’ Ξ”U = βˆ’W β†’ temperature changes as work done
IsochoricV constant β†’ W = 0 β†’ all heat goes to internal energy
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Heat Engines and Refrigerators
Engine: takes heat from hot, does work, dumps heat to cold. Refrigerator: reverse β€” work in, moves heat from cold to hot.
How heat engines and refrigerators work as thermodynamic cycles
COP of refrigerator = Q_cold / W. COP of heat pump = Q_hot / W. Both limited by Carnot.
Heat engine: Q_H (from hot source) β†’ W (work out) + Q_C (to cold sink). Efficiency Ξ· = W/Q_H = 1 βˆ’ Q_C/Q_H ≀ 1 βˆ’ T_C/T_H (Carnot limit). Refrigerator: W (work in) moves Q_C from cold reservoir, dumps Q_H = Q_C + W to hot. COP_refrig = Q_C/W = T_C/(T_Hβˆ’T_C) at Carnot. Heat pump: same as refrigerator but goal is heating. COP_HP = Q_H/W = T_H/(T_Hβˆ’T_C). Heat pumps can be more than 100% efficient (move more heat than work input) β€” they move existing heat, not create it.
Engine Ξ·
Ξ· = W/Q_H ≀ 1 βˆ’ T_C/T_H β€” Carnot sets the ceiling
Refrigerator
COP = Q_C/W β€” how much cold per unit work
Heat pump
COP > 1 possible β€” moves heat rather than creating it
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πŸƒ Heat Engines and Refrigerators
Heat engine vs refrigerator?
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πŸƒ Answer
Engine: takes heat from hot, does work, dumps heat to cold. Refrigerator: reverse β€” work in, moves heat from cold to hot.
Engine Ξ·Ξ· = W/Q_H ≀ 1 βˆ’ T_C/T_H β€” Carnot sets the ceiling
RefrigeratorCOP = Q_C/W β€” how much cold per unit work
Heat pumpCOP > 1 possible β€” moves heat rather than creating it
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