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. lf $$L1$$ and $$L2$$ are the lengths of the gas column before and after expansion respectively, then $$T1T2$$, 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. lf $$L1$$ and $$L2$$ are the lengths of the gas column before and after expansion respectively, then $$T1T2$$, is given by

Infinity Learn · Accepted Answer

$$T1V$$γ$$-11=$$ $$T2V$$γ$$-12$$  ⇒ $$T1T2$$ $$==$$ (V2V1)γ$$-1$$ $$=$$ $$(L2AL1A)53-1$$ $$=$$ $$(L2L1)23$$

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