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} $



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