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  4. V-T graph for a given mass of an ideal gas is shown in the figure. Then the corresponding P-V graph would be <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-zniazpokhv2i.png /> ( BC and DA are vertical lines, CD is horizontal line)

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Q. $V-T$ graph for a given mass of an ideal gas is shown in the figure. Then the corresponding $P-V$ graph would be

Question

( $BC$ and $DA$ are vertical lines, $CD$ is horizontal line)

NTA AbhyasNTA Abhyas 2020Thermodynamics

Solution:

$For \, A \rightarrow B, \, V \propto \, T, \, so \, P=constant$
For $ \, B \rightarrow C, \, T=$ constant, so $PV$ is hyperbola
For $C \rightarrow D, \, T$ decrease at constant $V$ , so $P$ decreases
For $D \rightarrow A, \, T=$ constant, so $PV$ is hyperbola