First slide

Different type of processes

Question

The slope of isothermal and adiabatic curves are related as

Easy

A

isothermal curve slope = adiabatic curve slope
B

isothermal cure slope = $γ$ x adiabatic curve slope
C

adiabatic curve slope = $γ$ x isothermal curve slope
D

adiabatic curve slope = ½ isothermal curve slope

Solution

At a given point (P₀, V₀) on PV diagram
${(\frac{dP}{dV})}_{isothermal} = - \frac{P_{0}}{V_{0}} and (\frac{dP}{dV}) adiabatic = - \frac{γ P_{0}}{V_{0}}$

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