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JEE Advanced2017ChemistryStates of MatterActual

An ideal gas is expanded from ( p 1 , V 1 , T 1 ) to ( p 2 , V 2 , T 2 ) under different conditions. The correct statement(s) among the following is(are)

Options

  1. AThe work done on the gas is maximum when it is compressed irreversibly from ( p 2 , V 2 ) to ( p 1 , V 1 ) aga
  2. BIf the expansion is carried out freely, it is simultaneously both isothermal as well as adiabatic
  3. CThe work done on the gas is less when it is expanded reversibly from V 1 t o V 2 under adiabatic conditions as
  4. DThe change in internal energy of the gas (i) zero, if it is expanded reversibly with T 1 = T 2 , and (ii) posi

Correct answer

A. The work done on the gas is maximum when it is compressed irreversibly from ( p 2 , V 2 ) to ( p 1 , V 1 ) aga

Step-by-step solution

(I) (II) (III) (i) Δ U = n C v Δ T = 0 (isothermal hence Δ T = 0 ) (ii) Δ U = q + w = - v e q = 0 , w 0 (IV) q = 0 (adiabatic), w = 0 (free expansion) Δ U = 0 ⇒ Δ T = 0 (isothermal)

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