A monoatomic ideal gas, initially at temperature T 1 is enclosed in a cylinder fitted with a frictionless…

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 the expansion respectively, then the value of T1 T2 will be:
  1. l1l223
  2. l2l123
  3. l2l1
  4. l1l2

Solution

PVr= constant

TVr-1= constant

T(ℓ)53-1= constant

T1 T2=ℓ2ℓ12/3

Asked in: JEE Main 2021 (25 Jul Shift 1)

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