Thermodynamics Question 282
Question: On P-V coordinates, the slope of an isothermal curve of a gas at a pressure $ P=1MPa $ and volume $ F=0.0025m^{3} $ is equal to$ -400MPa/m^{3} $ . If $ C _{p}/C _{v}=1.4, $ the slope of the adiabatic curve passing through this point is:
Options:
A) $ -56MPa/m^{3} $
B) $ -400MPa/m^{3} $
C) $ -560MPa/m^{3} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Slope of adiabatic curve $ =\gamma \times $ Slope of isothermal curve $ =1.4\times ( -400 )=-560MPa/m^{3} $