Thermodynamics Mastery – Interactive Quiz & Cheatsheet

Boost your understanding of Thermodynamics with this engaging quiz and quick-reference guide tailored for exam success

Updated: just now

Categories: Mini Game, Physics, Class 11, Thermodynamics
Tags: Mini Game, Physics, Class 11, Thermodynamics, Thermal Equilibrium, Laws of Thermodynamics, Heat Transfer
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Thermodynamics Cheatsheet & Quiz

Thermodynamics Cheatsheet

Cheat Codes & Shortcuts

  • First Law: \( \Delta U = Q - W \), internal energy change equals heat added minus work done.
  • Second Law: Entropy of an isolated system never decreases, \( \Delta S \geq 0 \).
  • Work: For an ideal gas, \( W = P \Delta V \) (isobaric process).
  • Ideal Gas Law: \( PV = nRT \), relates pressure, volume, moles, and temperature.
  • Carnot Efficiency: \( \eta = 1 - \frac{T_C}{T_H} \), for a Carnot engine.
  • Enthalpy: \( H = U + PV \), useful for constant pressure processes.
  • Entropy Change: \( \Delta S = \int \frac{dQ_{rev}}{T} \), for reversible processes.
  • Gibbs Free Energy: \( G = H - TS \), determines spontaneity at constant T, P.
  • Heat Capacity: \( C = \frac{dQ}{dT} \), at constant volume or pressure.
  • Adiabatic Process: \( PV^\gamma = \text{constant} \), where \( \gamma = \frac{C_P}{C_V} \).

Quick Reference Table

Type Formula Description
First Law \( \Delta U = Q - W \) Energy conservation: internal energy change.
Ideal Gas \( PV = nRT \) Relates state variables for ideal gases.
Carnot Cycle \( \eta = 1 - \frac{T_C}{T_H} \) Maximum efficiency of a heat engine.
Entropy \( \Delta S = \int \frac{dQ_{rev}}{T} \) Entropy change for reversible processes.
Adiabatic \( PV^\gamma = \text{constant} \) No heat exchange, \( \gamma = \frac{C_P}{C_V} \).
Gibbs Energy \( \Delta G = \Delta H - T \Delta S \) Spontaneity at constant T, P.

Advice

Identify Process: Determine if the process is isothermal, adiabatic, isobaric, or isochoric.

Use Ideal Gas Law: Apply \( PV = nRT \) to find missing state variables.

Check Units: Ensure consistency (e.g., Joules for energy, Kelvin for temperature).

Reversible vs. Irreversible: Use appropriate formulas for entropy calculations.

Verify: Confirm calculations by checking energy conservation or state relations.

Thermodynamics Quick Tips

  • First Law: Always account for both heat and work in energy balance.
  • State Variables: Use \( PV = nRT \) to relate P, V, T for ideal gases.
  • Entropy: For reversible processes, compute \( \Delta S = \int \frac{dQ}{T} \).
  • Efficiency: Carnot efficiency sets the upper limit for heat engines.
  • Free Energy: Use Gibbs or Helmholtz to predict spontaneity.

Thermodynamics Speed Quiz

Test your speed with 5 thermodynamics questions! You have 30 seconds per question.