Question

The slope of isothermal and adiabatic curves are related as

• A. isothermal curve slope = adiabatic curve slope
• B. isothermal curve slope = $\gamma \times$ adiabatic curve slope
• C. adiabatic curve slope = $\gamma \times$ isothermal curve slope
• D. adiabatic curve slope = $\frac{1}{2}\times$ isothermal curve slope

Answer 1

Answer: (C)

adiabatic curve slope = $\gamma \times$ isothermal curve slope

$\frac{\text{Slope of adiabatic curve}}{\text{Slope of isothermal curve}}=\frac{(dP/dV{)}_{adi}}{(dP/dV{)}_{iso}}=+\gamma$
So, slope to adiabatic curve is $\gamma$ times of isothermal curve, as clear also from figure.