Question

In a long smooth, adiabatic, cylindrical container (mass 2m) is fitted with a smooth, adiabatic piston of mass ‘m ’ and cross-section area ‘A’. A gas (g = 1.5) is trapped at pressure 8P₀ (P₀ = atmospheric pressure) and volume V₀. The distance moved by cylinder after a long time is -

• A. $\frac { \mathrm { V } _ { 0 } } { \mathrm {~A} }$
• B. $\frac { 2 \mathrm {~V} _ { 0 } } { 3 \mathrm {~A} }$
• C. $\frac { 4 \mathrm {~V} _ { 0 } } { 3 \mathrm {~A} }$
• D. Zero

Answer 1

Answer: (A)

$\frac { \mathrm { V } _ { 0 } } { \mathrm {~A} }$

Answer 2

PV^g = constant and distance moved by cylinder = $\frac { 1 } { 3 }$ (relative Displacement)