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Question

The slopes of isothermal and adiabatic curves are related as

(a) Isothermal curve slope = adiabatic curve slope
(b) Isothermal curve slope = γX adiabatic curve slope
(c) Adiabatic curve slope = γX isothermal curve slope
(d) Adiabatic curve slope = 12X isothermal curve slope

A
a
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B
b
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C
c
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D
d
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Solution

The correct option is C c

For Isothermal process PV= constant
(dPdV)=PV= Slope of Isothermal curve

For adiabatic PVγ = constant

dPdV=γPV= slop of adiabatic curve slope

Clearly, (dPdV)adiabatic =γ(dPdV)Isothermal


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