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A monoatomic ideal gas, initially at temperature $T_{1}$ is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature $T_{2}$ by releasing the piston suddenly. If $L_{1}$ and $L_{2}$ are the lengths of the gas column before and after the expansion, then the value of $T_{1}/T_{2}$ will be}
A monoatomic ideal gas, initially at temperature $T_{1}$ is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature $T_{2}$ by releasing the piston suddenly. If $L_{1}$ and $L_{2}$ are the lengths of the gas column before and after the expansion, then the value of $T_{1}/T_{2}$ will be}
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For monoatomic gases, $\gamma = 5/3$; for diatomic, $\gamma = 7/5$. Always use the relation $TV^{\gamma - 1}$ for adiabatic temperature changes.
Updated On: Jul 4, 2026
- $(L_{1}/L_{2})^{2/3}$
- $(L_{2}/L_{1})^{2/3}$
- $L_{2}/L_{1}$
- $L_{1}/L_{2}$
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The Correct Option is B
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