Figure shows four PV diagrams. Which of these curves represent isothermal and adiabatic processes respectively?

C and D

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A and C

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A and B

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B and D

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Solution

The correct option is A C and D
During an adiabatic process slope of PV curve is: $\frac{d P}{d V} = - γ \frac{P}{V}$
During an isothermal process slope of PV curve: $\frac{d P}{d V} = - \frac{P}{V}$
Both slopes are negative hence A and B are not possible since the slopes for curves A and B are positive.
Slope of adaibatic curve is more than the slope of isothermal curve, so C is isothermal and D is adiabatic.

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