Thermodynamics Question 245
Question: The slopes of isothermal and adiabatic curves are related as
Options:
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
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ \frac{\text{Slope of adiabatic curve}}{\text{Slope of isothermal curve}} $
$ \text{=}\frac{{{( dP/dV )} _{adi}}}{{{( dP/dV )} _{iso}}}=+\gamma $
So slop to adiabatic curve is $ \gamma ( =\frac{C _{P}}{C _{V}} ) $ times of isothermal curve.
