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 → B, A → C and A → 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

(B) E _{ AB } 0, W _{ AC }> W _{ AD }

(C) E _{ AB }= E _{ AC } 0, W _{ AC }=0 W _{ AD }<0

(D) E _{ AB }> E _{ AC }> E _{ AD }, W _{ AB }< W _{ AC }< W _{ AD }

JEE Mains · Physics · STD 11 - Thermodynamics

Three different processes that can occur in an ideal monoatomic gas are shown in the \(P\) vs \(V\) diagram. The paths are labelled as \(A \rightarrow B, A \rightarrow C\) and \(A \rightarrow D .\) 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

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Verified Solution

Correct Answer

(A) \(E _{ AB }= E _{ AC }= E _{ AD }, W _{ AB }>0, W _{ AC }=0,\) \(W _{ AD }>0\)

Detailed explanation

\(\Delta U = nC _{ v } \Delta T =\) same

\(AB \rightarrow\) volume is increasing \(\Rightarrow W >0\)

\(AD \rightarrow\) volume is decreasing \(\Rightarrow W <0\)

\(AC \rightarrow\) volume is constant \(\Rightarrow W =0\)

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