# The slope of isothermal and adiabatic curves are related as

Isothermal curve slope = adiabatic curve slope

Isothermal curve slope = γ× adiabatic curve slope

Adiabatic curve slope = γ× isothermal curve slope

Adiabatic curve slope = 1/2× isothermal curve slope

## The correct Answer is:C

## For Isothermal process PV = constant

⇒PdV+VdP=0⇒dPdV=−PV = (Slope)iso

For adiabatic PVγ = constant

⇒PγVγ−1dV+VγdP=0

⇒dPdV=−γPV=(slope)adiabatic

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