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JEE Main 202229 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
29 June
Shift
Evening Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2022 · 29 June · Evening Shift · Physics · Thermodynamics

Starting with the same initial conditions, an ideal gas expands...

Starting with the same initial conditions, an ideal gas expands from volume V1{V}_{1} to V2{V}_{2} in three different ways. The work done by the gas is W1{W}_{1} if the process is purely isothermal, W2{W}_{2}, if the process is purely adiabatic and W3{W}_{3} if the process is purely isobaric. Then, choose the correct optionStarting with the same initial conditions, an ideal gas expands from volume V _ 1 to V _ 2 in three different ways. The

Options

  1. AW2<W1<W3{W}_{2} < {W}_{1} < {W}_{3}
  2. BW1<W2<W3{W}_{1} < {W}_{2} < {W}_{3}
  3. CW2<W3<W1{W}_{2} < {W}_{3} < {W}_{1}
  4. DW3<W1<W2{W}_{3} < {W}_{1} < {W}_{2}

Correct answer

A. W2<W1<W3{W}_{2} < {W}_{1} < {W}_{3}

Step-by-step solution

As we know, in isobaric process pressure remains constant and magnitude of slope of adiabatic curve will be more than the isothermal curve at the common point, therefore diagram for process will be as given below.

Starting with the same initial conditions, an ideal gas expands from volume V _ 1 to V _ 2 in three different ways. The

Also, W=W = area under P−VP - V curve.

Hence,

∴W2<W1<W3∴ {W}_{2} < {W}_{1} < {W}_{3}

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