Which of the statement is correct?

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Slope of adiabatic P-V curve is larger than that in isothermal one.

Slope of adiabatic P-V curve will be same as that of isothermal one.

Slope of adiabatic P-V curve may be smaller or larger depending on the value V.

Slope of adiabatic P-V curve is smaller than that in isothermal one.

answer is C.

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Detailed Solution

Slope of PV curve, for isothermal process $\frac{d P}{d V} = - \frac{P}{V}$

Slope of PV curve for adiabatic process $\frac{d P}{d V} = - γ \frac{P}{V}$

$As γ > 1 {(\frac{d P}{d V})}_{adiabatic} > {(\frac{d p}{d v})}_{isothermal}$

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