A quantity of monatomic ideal gas expands adiabatically from a volume of 2.5 liters to 6.3 liters.If the initial pressure is P₀,what is the final pressure? A)2.5P₀ B)4.7P₀ C)5.0P₀ D)0.21P₀ E)0.43P₀

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Quizplus · Accepted Answer

For an adiabatic process, PV^γ = constant, where γ is the ratio of specific heats (which is approximately 1.4 for a monatomic ideal gas). So, (P₀)(2.5L)^1.4 = (Pfinal)(6.3L)^1.4. Solving for Pfinal gives Pfinal = 0.21P₀. Therefore, the answer is (D).

A Quantity of Monatomic Ideal Gas Expands Adiabatically from a Volume