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Thermodynamics question

2017 · Shift 1 · Q4
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Thermodynamics question

2017 · Shift 1 · Q4

JEE AdvancedChemistryThermodynamicsMultiple correct+4 / −1
An ideal gas is expanded from (p1,V1,T1)\left( {{p_1},{V_1},{T_1}} \right)(p1​,V1​,T1​) to (p2,V2,T2)\left( {{p_2},{V_2},{T_2}} \right)(p2​,V2​,T2​) under different conditions. The correct statement(s) among the following is (are)
  1. A
    The work done on the gas is maximum when it is compressed irreversibly from (p2,V2)\left( {{p_2},{V_2}} \right)(p2​,V2​) to (p1,V1)\left( {{p_1},{V_1}} \right)(p1​,V1​) against constant pressure p1{p_1}p1​
  2. B
    If the expansion is carried out freely, it is simultaneously both isothermal as well as adiabatic
  3. C
    The work done by the gas is less when it is expanded reversibly from V1{V_1}V1​ to V2{V_2}V2​ under adiabatic conditions as compared to that when expanded reverseibly from V1{V_1}V1​ to V2{V_2}V2​ under isothermal conditions
  4. D
    The change in internal energy of the gas is (i) zero, if it is expanded reversibly with T1=T2{T_1} = {T_2}T1​=T2​, and (ii) positive, if it is expanded reversibly under adiabatic conditions with T1 e T2{T_1}\, e \,{T_2}T1​eT2​
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