Question

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

(1) \((\frac{L_1}{L_2})^{\frac{2}{3}}\)

(2) \(\frac{L_1}{L_2}\)

(3) \(\frac{L_2}{L_1}\)

(4) \((\frac{L_2}{L_1})^{\frac{2}{3}}\)

Answer 1

 (4) \((\frac{L_2}{L_1})^{\frac{2}{3}}\)

TV^γ-1 = constant