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IB Physics HL B 4 10 Hl Adiabatic Ideal Gas Questions

Solve HL adiabatic ideal-gas problems using PV^γ relationships, temperature–volume changes and the first law to determine states, work and heat transfer.

Syllabus
First assessment 2025
Course
Physics HL
Level
HL

Exam points

  • Apply PV^(5/3)=constant to calculate an unknown pressure or volume after adiabatic compression or expansion.
  • Derive or use TV^(2/3)=constant to calculate an adiabatic temperature or volume, converting between kelvin and degrees Celsius where required.
  • Combine the adiabatic relation with PV=nRT to verify or calculate a linked pressure, volume, temperature or amount-of-gas value.

Learn this topic

Study B.4.10 (HL)—Adiabatic ideal gas conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Physics HL B 4 10 Hl Adiabatic Ideal Gas Questions question 1

[Maximum number: 2]

The p V diagram shows a heat engine cycle consisting of adiabatic, isothermal and isovolumetric parts. The working substance of the engine is an ideal gas.

Figure for Question IB Physics HL B 4 10 Hl Adiabatic Ideal Gas Questions question 1 — IB Physics HL

The following data are available:

pA=5.00×105 PaVA=2.00×10−3 m3TA=602 KpB=3.00×104 PapC=4.60×103 Pa\begin{aligned} & p_{\mathrm{A}}=5.00 \times 10^{5} \mathrm{~Pa} \\ & V_{\mathrm{A}}=2.00 \times 10^{-3} \mathrm{~m}^{3} \\ & T_{\mathrm{A}}=602 \mathrm{~K} \\ & p_{\mathrm{B}}=3.00 \times 10^{4} \mathrm{~Pa} \\ & p_{\mathrm{C}}=4.60 \times 10^{3} \mathrm{~Pa} \end{aligned}

Show that the volume at C is 3.33×10−2 m33.33 \times 10^{-2} \mathrm{~m}^{3}.

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