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

Infinity Learn · Accepted Answer

γ $$=$$ $$5/3TV$$γ$$-1=$$ K⇒Tα $$1/v$$γ$$-1But$$ V $$=$$ AL; A is  constantVαL

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