Concepts Of Physics MCQ Edition [Volume 2]PhysicsLaws of Thermodynamics
An adiabatic vessel of total volume V is partitioned into two equal parts by a fixed, conducting separator. The left part holds one mole of an ideal gas ( U = 1.5 nRT ) and the right part contains two moles of the same gas. Initially, the pressure on each side is p . The system is allowed to rest for sufficient time until a steady state is achieved. Find the temperature on the left and right sides in the beginning, r
Options
- ApV R and pV 2R
- BpV 4R and pV 2R
- C2pV R and pV R
- DpV 2R and pV 4R
Correct answer
D. pV 2R and pV 4R
Step-by-step solution
Total volume of the vessel is V . Since the vessel is partitioned into two equal parts, the volume of each part is V 2 . For the left part, using the ideal gas equation pV = nRT : p ( V 2 ) = 1 R T_ L T_ L = pV 2R For the right part, using the ideal gas equation pV = nRT : p ( V 2 ) = 2 R T_ R T_ R = pV 4R The initial temperatures on the left and right sides are pV 2R and pV 4R respectively.