A cylindrical tube of volume V 0 is divided into two parts by a conducting frictionless piston. Initial piston is in the middle and pressure in two chambers are P 1 and P 2 . Piston moves and ultimate

Question

A cylindrical tube of volume V 0 is divided into two parts by a conducting frictionless piston. Initial piston is in the middle and pressure in two chambers are P 1 and P 2 . Piston moves and ultimately comes to rest in an equilibrium position. (Both chambers contain ideal gas) Which of the following statements is/are correct?

TestHub · Accepted Answer

V 1 ​ + V 2 ​ = V 0 ​ Let final pressure in both chambers be P Then for chamber I P × V 1 ​ = P 1 ​ × 2 V 0 ​ ​ Chamber II P × V 2 ​ = P 2 ​ × 2 V 0 ​ ​ (i) + (ii) P = 2 P 1 ​ + P 2 ​ ​ From (i) V 1 ​ = ( P 1 ​ + P 2 ​ ) P 1 ​ V 0 ​ ​ V 2 ​ = P 1 ​ + P 2 ​ P 2 ​ V 0 ​ ​

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Options:(select one or more)

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