Match the graph for an ideal monoatomic gas in different process for constant mass of gas ( $ρ$ =density of gas)
List I
List II
(P) (1)
(Q) (2)
(R) (3)
(S) (4)

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P-2; Q-3; R-4; S-1

P-2; Q-4; R-1; S-3

P-4; Q-3; R-1; S-2

P-3; Q-4; R-2; S-1

answer is A.

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Detailed Solution

$P = \frac{ρ}{M_{w}} R T$
For (A): For AB, $P \propto V \Rightarrow T \propto V^{2} \Rightarrow T \propto ρ^{- 2}$
For BC, V = constant $\Rightarrow ρ$ = constant
For CA, P = constant $\Rightarrow ρ T$ = constant
For (B): For AB, $P \propto T \Rightarrow ρ$ = constant
For BC, T = constant $\Rightarrow P \propto ρ$
For CA, P = constant $\Rightarrow ρ T$ = constant
For (C): For AB, P = constant
$\Rightarrow ρ T$ = constant
For BC, T = constant $\Rightarrow P \propto ρ$
For CA, V = constant $\Rightarrow ρ$ = constant
For (D): For AB, $ρ \propto T \Rightarrow P \propto T^{2}$
For BC, T = constant $\Rightarrow P \propto ρ$
For A, P = constant $\Rightarrow P \propto T$