1. Tardigrade
  2. Question
  3. Physics
  4. On P-V coordinates, the slope of an isothermal curve of a gas at a pressure P=1 MPa and volume V=0.0025 m 3 is equal to -400 MPa / m 3. If Cp / Cv=1.4, the slope of the adiabatic curve passing through this point is :

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Q. On $P-V$ coordinates, the slope of an isothermal curve of a gas at a pressure $P=1 \,MPa$ and volume $V=0.0025\, m ^3$ is equal to $-400 \,MPa / m ^3$. If $C_p / C_v=1.4$, the slope of the adiabatic curve passing through this point is :

Thermodynamics

Solution:

Slope of adiabatic curve
$=\gamma \times $ slope of isothermal curve
$=1.4 \times(-400)=-560 \,MPa /m^3$