Thermodynamics— Concepts, Formulas & Shortcuts
- Zeroth law: two bodies in thermal equilibrium with a third are in equilibrium with each other — the basis of temperature measurement.
- First law: energy is conserved; for a closed system dQ = dU + dW.
- Second law: entropy of an isolated system never decreases; no engine can convert all heat into work.
- Third law: entropy of a perfect crystal approaches zero as temperature approaches absolute zero.
- Carnot efficiency η = 1 − T_cold/T_hot, with temperatures in kelvin — the maximum possible for any engine between those reservoirs.
- For an ideal gas, PV = mRT; cp − cv = R and γ = cp/cv (about 1.4 for air).
Thermodynamics Practice Questions with Answers
Attempt each question first, then open the explanation. All 8 questions below are free to read and require no signup.
Q1.The first law of thermodynamics is a statement of:
Easy- AConservation of mass
- BConservation of energy
- CIncrease of entropy
- DThermal equilibrium
Thermodynamics question 1 of 8+Show Answer & Explanation
Answer: B. Conservation of energy
Explanation: The first law states that energy can be neither created nor destroyed, only converted: dQ = dU + dW.
Q2.The efficiency of a Carnot engine operating between 800 K and 400 K is:
Moderate- A25%
- B50%
- C60%
- D75%
Thermodynamics question 2 of 8+Show Answer & Explanation
Answer: B. 50%
Explanation: η = 1 − T_c/T_h = 1 − 400/800 = 0.5 = 50%.
Q3.Which law forms the basis of temperature measurement?
Easy- AZeroth law
- BFirst law
- CSecond law
- DThird law
Thermodynamics question 3 of 8+Show Answer & Explanation
Answer: A. Zeroth law
Explanation: The zeroth law establishes transitivity of thermal equilibrium, which is what makes a thermometer meaningful.
Q4.In an adiabatic process:
Easy- ATemperature is constant
- BPressure is constant
- CNo heat is transferred
- DVolume is constant
Thermodynamics question 4 of 8+Show Answer & Explanation
Answer: C. No heat is transferred
Explanation: Adiabatic means Q = 0; the system exchanges no heat with its surroundings, so all work changes internal energy.
Q5.For an ideal gas, cp − cv equals:
Moderate- A0
- BR
- Cγ
- DR/γ
Thermodynamics question 5 of 8+Show Answer & Explanation
Answer: B. R
Explanation: Mayer's relation gives cp − cv = R for an ideal gas.
Q6.Entropy of an isolated system during an irreversible process:
Moderate- ADecreases
- BRemains constant
- CIncreases
- DMay increase or decrease
Thermodynamics question 6 of 8+Show Answer & Explanation
Answer: C. Increases
Explanation: The second law requires entropy generation to be positive for any irreversible process in an isolated system.
Q7.A process in which temperature remains constant is called:
Easy- AIsobaric
- BIsochoric
- CIsothermal
- DAdiabatic
Thermodynamics question 7 of 8+Show Answer & Explanation
Answer: C. Isothermal
Explanation: Isothermal = constant temperature; isobaric is constant pressure and isochoric constant volume.
Q8.The Carnot cycle consists of:
Moderate- ATwo isothermal and two adiabatic processes
- BTwo isobaric and two isochoric processes
- CFour adiabatic processes
- DTwo isothermal and two isochoric processes
Thermodynamics question 8 of 8+Show Answer & Explanation
Answer: A. Two isothermal and two adiabatic processes
Explanation: The Carnot cycle uses two reversible isothermal processes (heat addition and rejection) joined by two reversible adiabatic processes.
Thermodynamics — Frequently Asked Questions
What does the second law of thermodynamics say in practical terms?+
That no heat engine can be 100% efficient and that heat flows spontaneously only from hot to cold. Every real process generates entropy, which sets an upper limit — the Carnot efficiency — on any engine.
Why is the Carnot cycle important if it cannot be built?+
It is the benchmark. Its efficiency depends only on the two reservoir temperatures, so it tells you the best any real engine operating between them could possibly achieve.
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