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 :

Question

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 : (A) -56 MPa / m 3, (B) -400 MPa / m 3 (C) -560 MPa / m 3 (D) None of these

Tardigrade Admin · Accepted Answer

Slope of adiabatic curve =&gamma; × slope of isothermal curve =1.4 ×(-400)=-560 MPa /m3

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

$- 56 MP a / m^{3}$ ,

$- 400 MP a / m^{3}$

$- 560 MP a / m^{3}$

None of these

Slope of adiabatic curve
$= γ \times$ slope of isothermal curve
$= 1.4 \times (- 400) = - 560 MP a / m^{3}$

Q. On P−V coordinates, the slope of an isothermal curve of a gas at a pressure P=1MPa and volume V=0.0025m3 is equal to −400MPa/m3. If Cp​/Cv​=1.4, the slope of the adiabatic curve passing through this point is :

−56MPa/m3,

−400MPa/m3

−560MPa/m3