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 - VgyanHub

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

Options :

(a) (L1/L2)^2/3
(b) L1/L2
(c) L2/L1
(d) (L2/L1)^2/3

Answer :

(d) (L₂/L₁)^2/3

Answer Steps :

step 1

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