Question

✩ Show that the Slope of an adiabatic curve at any point is γ times the Slope of an isothermal curve at the corresponding limit.

Answer 1

isothermal

PV = constant

p = k/v

dp/dv = - k/ v^2

= - k/ v × v

so -p/v

for adiabatic

p V^Y = k

dp/dv =- YK/ V^ (Y +1)

= -Y K/ V^Y × V

As p = k/V^Y

so it's - Y P/V

hence it's Y times

Answer 2

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