One mole of an ideal monoatomic gas is taken through process AB given by P=α−βV2 (where α and β are positive constants) on P-V diagram. Which of the following is the correct statement regarding the given process?

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Temperature is maximum at V=α3β

Temperature is minimum at V=α3β

At point A rate of increase of temperature of gas with volume is more than at point B

Rate of increase of temperature of gas with volume is maximum at V=αβ

answer is A.

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Detailed Solution

PV=1⋅RT α−βV2V=RT T=αVR−βV3R dTdV=αR−3βV2RFor maximum value of T dTdV=0⇒ V=α3β

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