Question

A monoatomic ideal gas,initially at temperature T₁, is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T₂ by releasing the piston suddenly. If L₁ and L₂ are the lengths of the gas column before and after expansion respectively, then is given by -

• A.
• B.
• C.
• D. $\left( \frac { \mathrm { L } _ { 2 } } { \mathrm {~L} _ { 1 } } \right) ^ { 2 / 3 }$

Answer 1

Answer: (D)

$\left( \frac { \mathrm { L } _ { 2 } } { \mathrm {~L} _ { 1 } } \right) ^ { 2 / 3 }$

Answer 2

Adiabatic TV^g–1 = constant

\ $\frac { \mathrm { T } _ { 1 } } { \mathrm {~T} _ { 2 } } = \left( \frac { \mathrm { L } _ { 2 } } { \mathrm {~L} _ { 1 } } \right) ^ { 2 / 3 }$