A monatomic ideal gas

PHYSICS · Single correct · CBSE · Physics · Thermodynamics · Thermodynamics

Problem

A monatomic 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 length of the gas column before and after expansion respectively, then

\frac{T_1}{T_2}

is given by [2000S] (1)

\left(\frac{L_1}{L_2}\right)^{2/3}

(2)

\frac{L_1}{L_2}

(3)

\frac{L_2}{L_1}

(4)

\left(\frac{L_2}{L_1}\right)^{2/3}