An insulating cylinder contains equal volumes of He and $O_{2}$ separated by a massless freely moving adiabatic piston as shown. The gas is compressed by moving the insulating piston so that volume of He becomes half. Select the correct alternative(s).

Question

Question figure

TestHub · Accepted Answer

We know γ He ​ = 3 5 ​ , ​ γ O 2 ​ ​ = 5 7 ​ PV γ = const. ​ ​ ​ P He ​ ( LA ) 5/3 = P He ′ ​ ( 2 L ​ A ) 5/3 ​ P He ′ ​ = P He ​ ( 2 ) 5/3 ​ P O 2 ​ ​ ( LA ) 7/5 = P O 2 ​ ′ ​ ( L ′ A ) 7/5 ​ P O 2 ​ ′ ​ = P O 2 ​ ​ ( L ′ L ​ ) 7/5 ​ Now P O 2 ​ ​ = P He ​ ⇒ P O 2 ​ ′ ​ = P He ′ ​ P O 2 ​ ′ ​ P O 2 ​ ​ ​ = P He ′ ​ P He ​ ​ ( L L ′ ​ ) 7/5 = 2 5/3 1 ​ ( L ′ ) 7/5 = 2 5/3 L 7/5 ​ L ′ = 2 ( 5/3 ) ( 5/7 ) L ​ = 2 25/21 L ​ so volume of O 2 ​ = L ′ A = 2 25/21 LA ​

Physics - Heat & Thermo Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion