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 lengths of the gas column before and after expansion respectively, then $$T1/T2$$ is given by

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 lengths of the gas column before and after expansion respectively, then $$T1/T2$$ is given by

Infinity Learn · Accepted Answer

In adiabatic process, TVγ−$$1=$$ constant ∴ $$T1T2=V2V1$$γ−$$1=AL2AL15/3$$−$$1=L2L12/3$$

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