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JEE Main 20205 SeptemberMorning Shift

Exam: JEE Main
Year: 2020
Date: 5 September
Shift: Morning Shift
Subject: Physics
Chapter: Thermodynamics

JEE Main 2020 · 5 September · Morning Shift · Physics · Thermodynamics

Three different processes that can occur in an ideal monoatomic gas...

Three different processes that can occur in an ideal monoatomic gas are shown in the $P$ vs $V$ diagram. The paths are labelled as $A \to B, A \to C$ and $A \to D$ . The change in internal energies during these process are taken as ${E}_{AB}, {E}_{AC}$ and ${E}_{AD}$ and the work done as ${W}_{AB}, {W}_{AC}$ and ${W}_{AD}$ . The correct relation between these parameters are:

Three different processes that can occur in an ideal monoatomic gas are shown in the P vs V diagram. The paths are

Options

A ${E}_{AB} = {E}_{AC} 0, {W}_{AC} = 0, {W}_{AD} < 0$
B ${E}_{AB} = {E}_{AC} = {E}_{AD}, {W}_{AB} > 0, {W}_{AC} = 0, {W}_{AD} < 0$
C ${E}_{AB} 0, {W}_{AC} > {W}_{AD}$
D ${E}_{AB} > {E}_{AC} > {E}_{AD}, {W}_{AB} < {W}_{AC} < {W}_{AD}$

Correct answer

B. ${E}_{AB} = {E}_{AC} = {E}_{AD}, {W}_{AB} > 0, {W}_{AC} = 0, {W}_{AD} < 0$

Step-by-step solution

${E}_{AB} = {E}_{AC} = {E}_{AD}$

$dU = \dfrac{nfR}{2}\left({T}_{f} - {T}_{i}\right)$

${W}_{AB} > 0 ( + ) \text{as}V ↑$

${W}_{AC} = 0\text{as}V = \text{constant}$

${W}_{AD} < 0 ( - ) \text{as}V ↓$

Three different processes that can occur in an ideal monoatomic gas are shown in the P vs V diagram. The paths are

\DeltaT

is same for

{E}_{AB} = {E}_{AC} = {E}_{AD}

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