A) Curves have the same slope and do not intersect
B) Curves must intersect at some point other than \[T=0\]
C) Curve for \[{{V}_{2}}\] has a greater slope than that for\[{{V}_{1}}\]
D) Curve for\[{{V}_{1}}\]has a greater slope than that for\[{{V}_{2}}\]
Correct Answer: C
Solution :
At constant volumes\[P\propto T\] P = constant T; PV = nRT \[\therefore P=\frac{nR}{V}T\] slope = \[m=\frac{nR}{V}\because {{V}_{2}}<{{V}_{1}}\] \[\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{{{V}_{2}}}{{{V}_{1}}}\therefore {{m}_{1}}<{{m}_{2}}\] is curve for V2 has a greater slope than for V1
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