What is the relation between pressure P and volume V for an ideal gas undergoing a reversible adiabatic process?
Answer and explanation
Correct answer: B. P V^gamma = constant
- Step 1: Using the adiabatic condition dQ = 0 and ideal gas law. Step 2. Integration yields Poisson's equation: P V^gamma = constant, where gamma = C_p / C_v. Answer: P V^gamma = constant. Why not the others: P V = constant describes an isothermal process (Boyle's law); division inverts relationship; P^gamma V places gamma on pressure.
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