A monoatomic ideal gas, initially at temperature T 1 , is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T 2 by releasing the

Question

A monoatomic ideal gas, initially at temperature $T_{1}$ , is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature $T_{2}$ by releasing the piston suddenly. If $L_{1}$ and $L_{2}$ are the lengths of the gas column before and after expansion respectively, then $\frac{T _{1}}{T _{2}}$ is given by:

Options:

Answer:

D

Solution:

$T V^{γ - 1} = constant$ with $γ - 1 = \frac{2}{3}$ and $V \propto L$ : $\frac{T _{1}}{T _{2}} = (\frac{L _{2}}{L _{1}})^{\frac{2}{3}}$ . D.

TestHub · Accepted Answer

T V γ − 1 = constant with γ − 1 = 3 2 ​ and V ∝ L : T 2 ​ T 1 ​ ​ = ( L 1 ​ L 2 ​ ​ ) 3 2 ​ . D.

Physics - Heat & Thermo Question with Solution | TestHub

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