Question
Show that slope of adiabatic curve is γ times the slope of isothermal process.
Solution
The equation of state of an isothermal process is,
PV = constant
∴
∴ Slope of isothermal curve is,
For adiabatic process the equation of state is,
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Therefore,
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∴ Slope of adiabatic curve is
On comparing the slopes of two curves, we get
Therefore, the slope of adiabatic curve is
times the slope of isothermal process.
PV = constant
∴
∴ Slope of isothermal curve is,
For adiabatic process the equation of state is,
Therefore,
∴ Slope of adiabatic curve is
On comparing the slopes of two curves, we get
Therefore, the slope of adiabatic curve is
times the slope of isothermal process. 
