Two moles of an ideal monoatomic gas undergo a cyclic process ABCA as shown in the figure. What is the ratio of temperature at B and A? (Axes drawn to equal scale.)

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A is (V o , P o ), C is (5V o , P o ), so AC = 4V o . With B at height h: horizontal distance from A is h/tan 30° = h√(3) and from C is h/tan 60° = h/√(3). Sum: (4h)/(√(3)) = 4V o , so h = √(3)V o . Then V B = V o + h√(3) = 4V o , and P B = 4P o . T B /T A = (4P o × 4V o )/(P o V o ) = 16. Matches (d).

Chemistry - Thermodynamics - II Question with Solution | TestHub

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