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The slope of isothermal and adiabatic cu...

The slope of isothermal and adiabatic curves are related as

A

Isothermal curve slope = adiabatic curve slope

B

Isothermal curve slope = `gamma xx` adiabatic curve slope

C

Adiabatic curve slope = `gamma xx` isothermal curve slope

D

Adiabatic curve slope = `1//2 xx` isothermal curve slope

Text Solution

Verified by Experts

The correct Answer is:
C
For Isothermal process PV = constant
`implies PdV+VdP=0 implies (dP)/(dV)=(-P)/(V)` = `"(Slope)"_("iso")`
For adiabatic `PV^(gamma)` = constant
`implies P gamma V^(gamma-1) dV+V^(gamma)dP=0`
`implies (dP)/(dV)=(-gamma P)/(V) ="(slope)"_("adiabatic")`
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