Match the following graphs of an ideal gas with their respective axes ($X$ and $Y$).
$(A)$ $P$ vs $V$ (at constant $T$)
$(B)$ $V$ vs $T$ (at constant $P$)
$(C)$ $P$ vs $T$ (at constant $V$)
List-$I$:
$(1)$ $P$ on $Y$-axis,$T$ on $X$-axis
$(2)$ $P$ on $Y$-axis,$1/V$ on $X$-axis
$(3)$ $V$ on $Y$-axis,$T$ on $X$-axis

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(A-2, B-3, C-1) For an ideal gas,$PV = nRT$:
$(A)$ $P$ vs $V$ at constant $T$ gives a rectangular hyperbola. However,if we plot $P$ vs $1/V$,we get a straight line passing through the origin. Thus,$(A-2)$.
$(B)$ $V$ vs $T$ at constant $P$ gives a straight line passing through the origin $(V \propto T)$. Thus,$(B-3)$.
$(C)$ $P$ vs $T$ at constant $V$ gives a straight line passing through the origin $(P \propto T)$. Thus,$(C-1)$.
Therefore,the correct match is $(A-2, B-3, C-1)$.

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