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JEE Advanced 2012Paper 2
Exam
JEE Advanced
Year
2012
Paper
Paper 2
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Advanced 2012 · Paper 2 · Chemistry · Thermodynamics (C)

The reversible expansion of an ideal gas under adiabatic and...

The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statement(s) is (are) correct? The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the

Options

  1. AT1=T2T_{1}=T_{2}
  2. BT3>T1T_{3}>T_{1}
  3. Cwisothermal >wadiahatic w_{\text{isothermal }}>w_{\text{adiahatic }}
  4. DΔUisothermal >ΔUadiabatic \Delta U_{\text{isothermal }}>\Delta U_{\text{adiabatic }}

Correct answer

A. T1=T2T_{1}=T_{2}

Step-by-step solution

T1=T2T_{1}=T_{2} because process is isothermal. Work done in adiabatic process is less than in isothermal process because area covered by isothermal curve is more than the area covered by the adiabatic curve. In adiabatic process expansion occurs byusing internal energy, hence, it decreases while in isothermal process temperature remains constant, that's why no change in internal energy.
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