A monoatomic ideal gas, initially at temperature T 1 , is enclosed in a cylinder fitted…

Physics · JEE Advanced · NTA ExamsKinetic Theory of Gases

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 T1/T2 is given by
  1. \(\left(\frac{L_{1}}{L_{2}}\right)^{2 / 3}\)
  2. \(\frac{L_{1}}{L_{2}}\)
  3. \(\frac{L_{2}}{L_{1}}\)
  4. \(\left(\frac{L_{2}}{L_{1}}\right)^{2 / 3}\)

Answer

(D) ( L_ 2 L_ 1 )^ 2 / 3

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